# 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^{-1}x) = 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} , where (x != 0) is

**Options:**

A. (1/2)tan^{-1}x

B. Pi – tan^{-1}x

C. tan^{-1}x

D. 2tan^{-1}x

**Answer: A**