Inverse Trigonometric Functions Test

Result

Inverse Trigonometric Functions Test - 4

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

If sin (sin^-1 x) = x, the interval in which x lies is___

A
– π/2 < x < π/2

B
– 1 <x <1

C
–π/2 ≤ x ≤ π/2

D
– 1 ≤ x ≤ 1

Solution

From the definition of the inverse functions, it follows that sin (sin^-1x) = x

if - 1 ≤ x ≤ 1.

Here x, is not the angle but the value of the angle.
Question 2
1 / -0

Evaluate tan^-1[(a - b)/(1+ab)]+ tan^-1[(b - c)/(1+bc)]+ tan^-1[(c - a)/(1+cb)] ; ab,bc,ac>-1

A
-1

B
π

C
2π

D
0

Solution

tan^-1[(a - b)/(1+ab)]+ tan^-1[(b - c)/(1+bc)]+ tan^-1[(c - a)/(1+cb)]

= (tan^-1a - tan^-1b) + (tan^-1b - tan^-1c) + (tan^-1c - tan^-1a)

= 0