| 1 |
cos2a=______; |
cos2 a-sin2 a
2cos2 a-1
1-2 sin2 a
All of these
|
| 2 |
Distance between A(3, 8), B(5, 6) is |
|
| 3 |
cos (α-β) = cosαcosβ+ sinαsinβis true for all |
<i style="text-align: center;">α</i>><i style="text-align: center;">β</i>> 0
<i style="text-align: center;">α</i>><i style="text-align: center;">β</i>
<i style="text-align: center;">β</i>><i style="text-align: center;">α</i>
None of these
|
| 4 |
sin (2π-θ) |
cos<i style="text-align: center;">θ</i>
sin<i style="text-align: center;">θ</i>
tan<i style="text-align: center;">θ</i>
-sin<i style="text-align: center;">θ</i>
|
| 5 |
Which one is a pair of allied angles |
(180° -<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ)</i></span>
(180° -<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>θ,</i></span>180° +<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>θ)</i></span>
(180° +<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>θ)</i></span>
None of these
|
| 6 |
2π+θwill have terminal side in Quad |
I
II
III
IV
|
| 7 |
cos 315° = ______ |
|
| 8 |
sec (-360°) = ______ |
0
1
2
3
|
| 9 |
tan (-135°) = ______θ |
0
1
2
3
|
| 10 |
sin 540° = |
0
1
2
3
|
| 11 |
cos (180° -θ)= |
sin<i style="text-align: center;">θ</i>
- cos<i style="text-align: center;">θ</i>
- sin<i style="text-align: center;">θ</i>
None of above
|
| 12 |
Express as a sum or difference: 2 sin 5θcosθ |
cos 4<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>- cos 2<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
sin 4<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>+ sin 2<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
cos 4<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>+ cos 2<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
sin 4<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>- sin 2<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
|
| 13 |
Cos (α+β) - cos (α-β) = |
-2 sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span> sin<i style="text-align: center;">β</i>
2 sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">β</i>
-2 sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>
4 sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span> cos<i style="text-align: center;">β</i>
|
| 14 |
cos (α+β) + cos (α-β) = |
4 cos<i style="text-align: center;">α</i>cos<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
2 cos<i style="text-align: center;">α</i>cos<i style="text-align: center;">β</i>
2 sin<i style="text-align: center;">α</i>sin<i style="text-align: center;">β</i>
2 sin<i style="text-align: center;">α</i>cos<i style="text-align: center;">β</i>
|
| 15 |
cos4θ- sin4θ= |
cos4<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
cos2<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
-sin<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
sin2<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
|
| 16 |
sin2αcos2α= |
-1
0
1
None of these
|
| 17 |
If cosα= 4/5, then cosα/2 |
|
| 18 |
tanθ/2 |
|
| 19 |
sin 2 α= |
|
| 20 |
cos 2α= |
1 - 2 sin<sup>2</sup><i style="text-align: center;">α</i>
sin <sup>2</sup><i style="text-align: center;">α</i>+ cos<sup>2</sup><span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>β</i></span>
sin<sup>2</sup><i style="text-align: center;">α</i>- cos<sup>2</sup><span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>β</i></span>
None of these
|
| 21 |
sin (α+β) - sin (α -β) = |
4 cos<i style="text-align: center;">α</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
2 cos<i style="text-align: center;">α</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
4 cos<i style="text-align: center;">α</i>cos<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
4 sin <i style="text-align: center;">α</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
|
| 22 |
sin (α+β) + sin (α-β) |
2 sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">β</i>
sin (2<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span><i style="text-align: center;">β)</i>
sin<i style="text-align: center;">α</i>cos<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>
None of these
|
| 23 |
sin (α -β)= |
sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">β</i>- cos<i style="text-align: center;">α</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">β</i>+ cos<i style="text-align: center;">α</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">α</i>- cos<i style="text-align: center;">β</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">α</i>- cos<i style="text-align: center;">β</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
|
| 24 |
sin (α +β)= |
sin<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>- cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>sin<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>- cos<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">α</i>- cos<i style="text-align: center;">β</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">α</i>+ cos<i style="text-align: center;">β</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
|
| 25 |
Tan 2θ= |
|
| 26 |
cosθ/2= |
|
| 27 |
sinα= |
2 sin<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>
2 sin<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
2 sin<i style="text-align: center;">α</i>/2 cos<i style="text-align: center;">α</i>/2
1+ tan<sup>2</sup><i style="text-align: center;">α</i>/2
|
| 28 |
sin(180° -θ)= |
cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span>
-cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span>
Tan<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span>
Sin<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span>
|
| 29 |
cos 2α= |
sin<sup>2</sup><span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>+ cos<sup>2</sup><span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>
-cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
tan<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
None of these
|
| 30 |
|
-sin<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
sin<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
-cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
|
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