Inverse Trigonometric Functions

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Question

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Question 1 :

If 2tan^-1 (cosx) = tan^-1 (cosec²x), then x is equal to

1. π/2
2. π
3. π/6
4. π/3
Answer
6921

Question 2 :

If Cos^-1p + Cos^-1q + Cos^-1r = π then p² +q² + r² + 2pqr =

1. 3
2. 1
3. 2
4. -1
Answer
6922

Question 3 :

Which one of the following is not correct?

1. sin^-1 {sin(5π/ 4)} = -π / 4
2. sec^-1 {sec (5π/4)} = 3π/ 4
3. tan^-1 {tan (5π/ 4)} = π/4
4. cosec^-1 {cosec (7π/4)} = π/4
Answer
6923

Question 4 :

tan^-1 x > cot^-1x holds for

1. x > 1
2. x < 1
3. x = 1
4. all values of x
Answer
6924

Question 5 :

tan (cos^-1x) is equal to

2. cot ( tan^-1x )
3. tan x
4. None of these
Answer
6925