ECAT Mathematics Chapter 12 Trigonometric Functions and Identities With Answers

ECAT Mathematics Chapter 12 Trigonometric Functions and Identities

Sr. # Questions Answers Choice
1 if tanθ = 8/15 and cosθ< 0 , then cscθ = -8/15 15/8 3/15 -17/8
2 If cosθ = 9/41 and sinθ< 0, the tanθ = 41/9 -40/9 9/10 3/20
3 Express cos 320ο between 0οand 45ο cos 45<sup>ο</sup> cos 30<sup>ο</sup> -cos 40<sup>ο</sup> cos 40<sup>ο</sup>
4 Express cos 320ο between 0οand 45ο cos 45<sup>ο</sup> cos 30<sup>ο</sup> -cos 40<sup>ο</sup> cos 40<sup>ο</sup>
5 If sinθ = 12/13, and sinθ > 0, then tan θ = 2/5 12/13 13/5 12/5
6 If sinθ = 12/13, and sinθ > 0, then tan θ = 2/5 12/13 13/5 12/5
7 3/π=........... 54.71<sup>ο</sup> 21<sup>ο</sup> 51<sup>ο</sup> 29<sup>ο</sup>
8 If x>0 and y<0, then cosθ Positive negative zero infinity
9 The circle with are 60 cm2 has an arc 8 cm long. The angle that is subtended at the centre of the circle by the are is 1.83 radians 2.1 radians 1.05 radians 1.25 radians
10 The are of sector of a circular region of radius r is 2π r π r<sup>2</sup> 1/2π r<sup>2</sup> 1/2 r<sup>2</sup>0
11 radian is the measure of the angle subtended oat the centre of the circle by an are, whose length is equal to the radius of the circle circumference are length tangent of the circle none of these
12 The area of a sector of a circular region of radius r is 2π r π r<sup>2</sup> 1/2πr<sup>2</sup> π/6
13 The circular measure of the angle between the hands of a watch of 4 0'clock is π/2 π/4 2π/3 π/6
14 If l=1.5 cm and r=2.5 cm, then 0= .3 radians .20 radians .5 radians .6 radians
15 the value of 25π/36 in degrees is 120<sup>ο</sup><p class="MsoNormal"><!--[endif]--><o:p></o:p></p> 125<sup>ο</sup> 60<sup>ο</sup> 115<sup>ο</sup>
16 The value of 289οin radians is 4.05 3.02 <p class="MsoNormal"><!--[if gte msEquation 12]><m:oMathPara><m:oMath><i style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>ο</m:r></span></i></m:oMath></m:oMathPara><![endif]--><!--[if !msEquation]--><span style="line-height: 107%;"><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:6pt; height:14.25pt'> <v:imagedata src="file:///C:/Users/Softsol/AppData/Local/Temp/msohtmlclip1/01/clip_image001.png" o:title="" chromakey="white"/> </v:shape><![endif]--><!--[if !vml]--><img width="8" height="19" src="file:///C:/Users/Softsol/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png" v:shapes="_x0000_i1025" style="font-family: Calibri, sans-serif; font-size: 11pt;"><img width="9" height="19" src="file:///C:/Users/Softsol/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png" v:shapes="_x0000_i1025" style="font-family: Calibri, sans-serif; font-size: 11pt;">π/2<!--[endif]--></span><!--[endif]--><o:p></o:p></p><p class="MsoNormal"><!--[endif]--><o:p></o:p></p> 5.04
17 The value of 7π/9 in terms of degree is 140<sup>ο</sup> 130<sup>ο</sup> 120<sup>ο</sup> 45<sup>ο</sup>
18 The value of 300ο in term ofπ is 5π/3 2π/3 5π/2 5π
19 The value of 63οin term ofπ is 5π/2<img width="9" height="19" src="file:///C:/Users/Softsol/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png" v:shapes="_x0000_i1025"><p class="MsoNormal"><!--[endif]--><o:p></o:p></p> 5π/3 7π/20 7π/3
20 56ο=.....................radians 1.25 2.56 95 0.98
21 56ο=.....................radians 1.25 2.56 95 0.98
22 The value of 2π/3 in degree is 120<sup>ο</sup> 160<sup>ο</sup> 150<sup>ο</sup> 60<sup>ο</sup>
23 The value of 150ο in term of π is 2π/5<p class="MsoNormal"><!--[endif]--><o:p></o:p></p> 5π/2 3π/2 2550/32401π
24 154ο20' =

 2550/34401π<img width="9" height="19" src="file:///C:/Users/Softsol/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png" v:shapes="_x0000_i1025"><p class="MsoNormal"><!--[endif]--><o:p></o:p></p> 27721/22400 π 2521/32400π 4125/32400π
25 21.256ο <div>21<sup>ο</sup>15'21"</div><br> 21<sup>ο</sup>20'56" 21<sup>ο</sup>25'1" 21<sup>ο</sup>25'6"
26 16ο30' = 16.5<sup>ο</sup> 16.2<sup>ο</sup> 16.60<sup>ο</sup> 19.9<sup>ο</sup>
27 The value of 7π /9 in terms of degrees is 150<sup>ο</sup> 130<sup>ο</sup> 135<sup>ο</sup> 140<sup>ο</sup>
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