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Inverse Trigonometric Functions Question And Answer Set 1

Inverse Trigonometric Functions Question and Answer Set 1

Hi students, welcome to Amans Maths Blogs (AMB). On this post, you will get the Inverse Trigonometric Functions Question and Answer Set 1. It will help you to practice the questions on the topics of inverse trigonometric functions based questions with answers.

Inverse Trigonometric Functions Question and Answer Set 1: Ques No 1

The value of tan-1(sin(-Pi/2)) is

Options:

A. Pi/2

B. Pi/4

C. -Pi/2

D. -Pi/4

Answer: D

Inverse Trigonometry Functions Question and Answer Set 1: Ques No 2

The value of tan-1(x/y) – tan-1( (x – y) / (x + y) )is

Options:

A. Pi/2

B. Pi/3

C. Pi/4

D. Pi/6

Answer: C

Inverse Trigonometric Functions Question and Answer Set 1: Ques No 3

The value of x in the equation 3cot(cos-1x) = 2 is

Options:

A. 2/3

B. 2/Root(13)

C. 1/Root(13)

D. 1/3

Answer: B

Inverse Trigonometric Functions Question and Answer Set 1: Ques No 4

The value of x (x > 0) in the inverse trigonometric equation tan-1( (1 – x) / (1 + x) ) = (1/2) tan-1(x) is

Options:

A. 2/3

B. 2/Root(3)

C. 1/Root(3)

D. 1/3

Answer: C

Inverse Trigonometric Functions Question and Answer Set 1: Ques No 5

The value of sin(sin-1(3/5) + sin-1(8/17)) is

Options:

A. 91/85

B. 77/85

C. 11/85

D. 26/85

Answer: B

Inverse Trigonometry Functions Question and Answer Set 1: Ques No 6

The value of sin-1(3/5) – sin-1(8/17) is

Options:

A. cos-1(84/85)

B. sin-1(64/85)

C. sin-1(91/85)

D. cos-1(67/85)

Answer: A

Inverse Trigonometric Functions Question and Answer Set 1: Ques No 7

If tan-1 [(x – 1) / (x + 1)] + tan-1 [(x + 1) / (x + 2)] = Pi/4, then the value of x (x > 0) is 

Options:

A. 1/Root(3)

B. 1/2Root(2)

C. 1/Root(2)

D. 1/2Root(3)

Answer: C

Inverse Trigonometric Functions Question and Answer Set 1: Ques No 8

If tan-1 [2x] + tan-1 [3x] = Pi/4, then the value of x is 

Options:

A. 1/2

B. -1/3

C. -1

D. 1/6

Answer: D

Inverse Trigonometry Functions Question and Answer Set 1: Ques No 8

The simplified form of the trigonometric expression tan-1\frac{\sqrt{1+x^{2}} -1}{x} , where (x != 0) is 

Options:

A. (1/2)tan-1x

B. Pi – tan-1x

C. tan-1x

D. 2tan-1x

Answer: A

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