MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Domain and Range of Basic Inverse Trigonometric Functions

If cos -1 x-s...

Question

If $c o s^{- 1} x - s i n^{- 1} x = 0$ then x is equal to

A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D

$c o s^{- 1} x - s i n^{- 1} x = 0 \Rightarrow \frac{π}{2} - s i n^{- 1} x = 0$
$\Rightarrow 2 s i n^{- 1} x = \frac{π}{2}$
$\Rightarrow s i n^{- 1} x = \frac{π}{4}$
$\Rightarrow x = \frac{1}{\sqrt{2}}$

Suggest Corrections

thumbs-up

3

Similar questions

s i n^{- 1} x - c o s^{- 1} x = \frac{π}{6}

, then the value of x is equal to

I f 4 s i n^{- 1} x + c o s^{- 1} x = π,

then x is equal to

x \geq 0

θ = {sin}^{- 1} x + {cos}^{- 1} x - {tan}^{- 1} x

{sin}^{- 1} x + {sin}^{- 1} y = \frac{2 π}{3}

{cos}^{- 1} x - {cos}^{- 1} y = \frac{π}{3}

(x, y)

f (x) = {tan}^{- 1} x - {cot}^{- 1} x,

g (x) = {sec}^{- 1} x - {cosec}^{- 1} x,

h (x) = {sin}^{- 1} x + {cos}^{- 1} x + {tan}^{- 1} x,

i (x) = {sin}^{- 1} x - {cos}^{- 1} x,

j (x) = \sqrt{x},

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Basic Inverse Trigonometric Functions

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Domain and Range of Basic Inverse Trigonometric Functions

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon