If sin-1x-5- for some x- -1- 1 - then find the value of cos-1x

The correct option is D 3π10 Using Identity, sin^ 1x+cos^ 1x=π/2 cos^ 1x=π/2 sin^ 1x =π2 π5=3π10 ...

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

Domain and Range of Basic Inverse Trigonometric Functions

If sin-1x=π...

Question

If ${sin}^{- 1} x = \frac{π}{5}$ , for some $x \in (- 1, 1)$ , then find the value of ${cos}^{- 1} x$

- \frac{3 π}{10}

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

\frac{3 π}{10}

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

- \frac{7 π}{10}

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

\frac{7 π}{10}

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

Open in App

Solution

Suggest Corrections

Similar questions

\frac{π}{5}

{sin}^{- 1} x = \frac{π}{5}

x \in [- 1, 1]

{cos}^{- 1} x .

The value of $s i n^{- 1} [c o s (\frac{33 π}{5})]$ is

(a) $\frac{3 π}{5}$ (b) $\frac{- 7 π}{5}$ (c) $\frac{π}{10}$ (d) $\frac{- π}{10}$

{sin}^{- 1} x + {cos}^{- 1} y + {sec}^{- 1} z \geq t^{2} - \sqrt{2 π} t + 3 π

{cos}^{- 1} (m i n {x, y, z})

The value of $c o s^{- 1} (c o s \frac{3 π}{2})$ is

(a) $\frac{π}{2}$ (b) $\frac{3 π}{2}$ (c) $\frac{5 π}{2}$ (d) $\frac{7 π}{2}$

Join BYJU'S Learning Program