Class 12 Mathematics - Chapter 2: Inverse Trigonometric Functions MCQ Questions

17 Questions 34 Minutes

Progress: 0 / 17

Your Class 12 Mathematics Study Path

Question 1

tan^-1 ((frac { x }{y})) – tan^-1 (frac { x-y }{x+y}) is equal to

A –(frac { 3Ï€ }{4})

B (frac { Ï€ }{4})

C (frac { Ï€ }{3})

D (frac { Ï€ }{2})

Question 2

cos^-1 [cos (-680Â°)] is

A –(frac { Ï€ }{9})

B (frac {34Ï€ }{9})

C (frac { -2Ï€ }{9})

D (frac { 2Ï€ }{9})

Question 3

The domain of sin^-1 2x is

A [-2, 2]

B [(frac {-1}{2}), (frac {1}{2})]

C [-1, 1]

D [0, 1]

Question 4

If cos^-1 x – cos^-1 â€” = Î±, then 4xÂ² – 4xy cos Î± + yÂ² is equal to:

A 4 sinÂ² Î±.

B -4 sinÂ² Î±

C 2 sinÂ² Î±

D 4

Question 5

If sin^-1 ((frac {5}{4})) = (frac {Ï€}{2}), then the value of x is

A 1

B 5

C 4

D 3

Question 6

sin^-1 (1 – x) – 2 sin^-1 x = (frac { Ï€ }{2}), then x is equal to

A (frac { 1 }{2})

C 1, (frac { 1 }{2})

D 0, (frac { 1 }{2})

Question 7

The value of cot (cosec^-1(frac {5}{3}) + tan^-1(frac {2}{3})) is

A (frac { 4 }{17})

B (frac { 3 }{17})

C (frac { 6 }{17})

D (frac { 5 }{17})

Question 8

If sin^-1 x + sin^-1 y = (frac { 2Ï€ }{3}), then the value of cos^-1 x + cos^-1 y is

A Ï€

B (frac { Ï€ }{2})

C (frac { Ï€ }{3})

D (frac { 2Ï€ }{3})

Question 9

The greatest and least values of (sin^-1 x)Â² + (cos^-1x)Â² are respectively

A –(frac { Ï€^2 }{4}) and 0

B (frac { Ï€^2 }{4}) and (frac { -Ï€^2 }{4})

C (frac { Ï€ }{2}) and (frac { -Ï€ }{2})

D (frac { 5Ï€^2 }{4}) and (frac { Ï€^2 }{8})

Question 10

tan^-1 âˆš3 – cot^-1(-âˆš3) is equal to

A 2âˆš3

C –(frac { Ï€ }{2})

D Ï€

Question 11

sin((frac { Ï€ }{3}) – sin^-1(-(frac { 1 }{2}))) is equal to

A 1

B (frac { 1 }{4})

C (frac { 1 }{3})

D (frac { 1 }{2})

Question 12

sin (tan^-1 x), |x| < 1, is equal to

A (frac { x }{sqrt{1+x^2}})

B (frac { x }{sqrt{1+x^2}})

C (frac { 1 }{sqrt{1-x^2}})

D (frac { x }{sqrt{1-x^2}})

Question 13

The value of sin^-1(cos((frac { 43Ï€ }{5}))) is

A –(frac { -Ï€ }{10})

B (frac { Ï€ }{10})

C (frac { -7Ï€ }{5})

D (frac { 3Ï€ }{5})

Question 14

If tan^-1 y = tan^-1 x + tan^-1((frac { 2x }{1-x^2})) when |x| < (frac { 1 }{âˆš3}), then the value of y is:

A (frac { 3x+x^3 }{1+3x^2})

B (frac { 3x-x^3 }{1+3x^2})

C (frac { 3x+x^3 }{1-3x^2})

D (frac { 3x-x^3 }{1-3x^2})

Question 15

cos^-1 (cos (frac { 7Ï€ }{6})) is equal to

A (frac { Ï€ }{6})

B (frac { Ï€ }{3})

C –(frac { 5Ï€ }{6})

D (frac { 7Ï€ }{6})

Question 16

The value of cot (sin^-1x) is

A (frac { sqrt{1-x^2} }{x})

B (frac {1}{x})

C (frac { x }{sqrt{1+x^2}})

D (frac { sqrt{1+x^2} }{x})

Question 17

tan^-1 (âˆš3) – sec^-1(-2) is equal to:

A (frac { 2Ï€ }{3})

B (frac { Ï€ }{3})

C –(frac { Ï€ }{3})

D Ï€

Related Student Tools

P0 academic

Grade Calculator

Convert marks into grade bands with transparent thresholds.

P0 academic

Marks Percentage Calculator

Calculate exam or subject-wise marks percentage.

P0 academic

Percentage Calculator

Calculate percentage from obtained marks and total marks.

Keep learning

Discover More on SaralStudy

Explore all articles

Latest Blogs

Fresh educational articles and updates.

Popular Blogs

Most-read articles from SaralStudy.

Quick & Popular Links

Fast access to frequently used study resources.

Quick Links

NCERT Sample Papers Study Planner and Calculators NCERT Books CBSE Syllabus Previous Year Question Papers CBSE Board

What Students Are Viewing

Recently viewed articles based on SaralStudy activity.

Class 12 Mathematics - Chapter 2: Inverse Trigonometric Functions MCQ Questions

Your Class 12 Mathematics Study Path

tan^-1 ((frac { x }{y})) – tan^-1 (frac { x-y }{x+y}) is equal to

cos^-1 [cos (-680Â°)] is

The domain of sin^-1 2x is

If cos^-1 x – cos^-1 â€” = Î±, then 4xÂ² – 4xy cos Î± + yÂ² is equal to:

If sin^-1 ((frac {5}{4})) = (frac {Ï€}{2}), then the value of x is

sin^-1 (1 – x) – 2 sin^-1 x = (frac { Ï€ }{2}), then x is equal to

The value of cot (cosec^-1(frac {5}{3}) + tan^-1(frac {2}{3})) is

If sin^-1 x + sin^-1 y = (frac { 2Ï€ }{3}), then the value of cos^-1 x + cos^-1 y is

The greatest and least values of (sin^-1 x)Â² + (cos^-1x)Â² are respectively

tan^-1 âˆš3 – cot^-1(-âˆš3) is equal to

sin((frac { Ï€ }{3}) – sin^-1(-(frac { 1 }{2}))) is equal to

sin (tan^-1 x), |x| < 1, is equal to

The value of sin^-1(cos((frac { 43Ï€ }{5}))) is

If tan^-1 y = tan^-1 x + tan^-1((frac { 2x }{1-x^2})) when |x| < (frac { 1 }{âˆš3}), then the value of y is:

cos^-1 (cos (frac { 7Ï€ }{6})) is equal to

The value of cot (sin^-1x) is

tan^-1 (âˆš3) – sec^-1(-2) is equal to:

Practice Complete!

Related Student Tools

Grade Calculator

Marks Percentage Calculator

Percentage Calculator

Students Also Read

Discover More on SaralStudy

Latest Blogs

Popular Blogs

Quick & Popular Links

Quick Links

Popular Study Links

What Students Are Viewing

Class 12 Mathematics - Chapter 2: Inverse Trigonometric Functions MCQ Questions

Your Class 12 Mathematics Study Path

tan-1 ((frac { x }{y})) – tan-1 (frac { x-y }{x+y}) is equal to

cos-1 [cos (-680Â°)] is

The domain of sin-1 2x is

If cos-1 x – cos-1 â€” = Î±, then 4xÂ² – 4xy cos Î± + yÂ² is equal to:

If sin-1 ((frac {5}{4})) = (frac {Ï€}{2}), then the value of x is

sin-1 (1 – x) – 2 sin-1 x = (frac { Ï€ }{2}), then x is equal to

The value of cot (cosec-1(frac {5}{3}) + tan-1(frac {2}{3})) is

If sin-1 x + sin-1 y = (frac { 2Ï€ }{3}), then the value of cos-1 x + cos-1 y is

The greatest and least values of (sin-1 x)Â² + (cos-1x)Â² are respectively

tan-1 âˆš3 – cot-1(-âˆš3) is equal to

sin((frac { Ï€ }{3}) – sin-1(-(frac { 1 }{2}))) is equal to

sin (tan-1 x), |x| < 1, is equal to

The value of sin-1(cos((frac { 43Ï€ }{5}))) is

If tan-1 y = tan-1 x + tan-1((frac { 2x }{1-x^2})) when |x| < (frac { 1 }{âˆš3}), then the value of y is:

cos-1 (cos (frac { 7Ï€ }{6})) is equal to

The value of cot (sin-1x) is

tan-1 (âˆš3) – sec-1(-2) is equal to:

Practice Complete!

Related Student Tools

Grade Calculator

Marks Percentage Calculator

Percentage Calculator

Students Also Read

Discover More on SaralStudy

Latest Blogs

Popular Blogs

Quick & Popular Links

Quick Links

Popular Study Links

What Students Are Viewing

tan^-1 ((frac { x }{y})) – tan^-1 (frac { x-y }{x+y}) is equal to

cos^-1 [cos (-680Â°)] is

The domain of sin^-1 2x is

If cos^-1 x – cos^-1 â€” = Î±, then 4xÂ² – 4xy cos Î± + yÂ² is equal to:

If sin^-1 ((frac {5}{4})) = (frac {Ï€}{2}), then the value of x is

sin^-1 (1 – x) – 2 sin^-1 x = (frac { Ï€ }{2}), then x is equal to

The value of cot (cosec^-1(frac {5}{3}) + tan^-1(frac {2}{3})) is

If sin^-1 x + sin^-1 y = (frac { 2Ï€ }{3}), then the value of cos^-1 x + cos^-1 y is

The greatest and least values of (sin^-1 x)Â² + (cos^-1x)Â² are respectively

tan^-1 âˆš3 – cot^-1(-âˆš3) is equal to

sin((frac { Ï€ }{3}) – sin^-1(-(frac { 1 }{2}))) is equal to

sin (tan^-1 x), |x| < 1, is equal to

The value of sin^-1(cos((frac { 43Ï€ }{5}))) is

If tan^-1 y = tan^-1 x + tan^-1((frac { 2x }{1-x^2})) when |x| < (frac { 1 }{âˆš3}), then the value of y is:

cos^-1 (cos (frac { 7Ï€ }{6})) is equal to

The value of cot (sin^-1x) is

tan^-1 (âˆš3) – sec^-1(-2) is equal to: