First Year Mathematics Chapter 13 Online MCQ Test for 1st Year Mathematics Chapter 13 Inverse Trigonometric Functions Preparation

cos (2sin^-1 x) =

• 1- 2x² A
• 1 + 2x² B
• 2x²- 1 C
• x²- 1 D

• 0 A
• 
  B
• 
  C
• 
  D

The range of y = sin^-1 x is:

• 
  A
• 
  B
• 
  C
• 
  D

• tan x A
• cot x B
• 
  C
• 
  D

If f(x) = arccos x, then:

• 
  A
• 
  B
• 
  C
• 
  D

cos(tan^-1∞) =

• 0 A
• ∞ B
• 1 C
• 
  D

Domain of the function y = tan^-1 x is:

• 
  A
• 
  B
• 
  C
• 
  D

• x-axis A
• y-axis B
• y = x C
• y = -x D

The graph of x = sin y is obtained by reflecting the graph of y = sin x about the line:

• x axis A
• y axis B
• y = x C
• y = -x D

• sin x A
• cosec x B
• 
  C
• 
  D

Inverse sine function is written as:

• (sin x)^-1 A
• sin x^-1 B
• arc sinx C
• arc sin^-1 x D

• 
  A
• 
  B
• 
  C
• 
  D

The range of principal tangent function is:

• 
  A
• 
  B
• 
  C
• 
  D

The domain of y = sin^-1 x is:

• 
  A
• 
  B
• 
  C
• 
  D

The graph of y = cos^-1 x is obtained by reflecting the graph of y = cos x about:

• x-axis A
• y-axis B
• y = x C
• y = -x D

The range of principal cosine function is:

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The range of principal sine function is:

• 
  A
• 
  B
• 
  C
• 
  D

y = tan-1 x if and only if x = tan y, where:

• -1 < x < 1 and - π < y < π A
• 
  B
• 
  C
• 
  D