Question

If cos-1 x + sin-1 x = π, then the value of x is

(a) 32

(b) 12√2

(c) 3√2

(d) 23√2​

Answer 1

Answer:

1/√2

Step-by-step explanation:

because the sin45 and cos45 are equal to 1/√2 and they add up to form π/2 so x=45°

Answer 2

Answer:

The value of x if $Cos^{-1}x-Sin^{-1}x=\pi$ is $\frac{-1}{\sqrt{2} }$

Step-by-step explanation:

Given:

$Cos^{-1}x+Sin^{-1}x=\pi$

But As we know

$Cos^{-1}\alpha +Sin^{-1}\alpha =\frac{\pi }{2}$

So the question maybe

$Cos^{-1}x-Sin^{-1}x=\pi$

Then we get as

$Cos^{-1}x-(\frac{\pi }{2}-Cos^{-1}x )=\pi\\\\2Cos^{-1}x=\frac{3\pi }{2} \\\\x=Cos(\pi -\frac{\pi }{4} )\\\\x=\frac{-1}{\sqrt{2} }$