Question

If sin^–1x + sin^–1y = `pi/2`, then value of cos^–1x + cos^–1y is ______.

पर्याय

• `pi/2`

• π

• 0

• `(2pi)/3`

Answer 1

If sin^–1x + sin^–1y = `pi/2`, then value of cos^–1x + cos^–1y is `pi/2`.

Explanation:

Given that sin^–1x + sin^–1y = `pi/2`

Therefore, `(pi/2 - cos^-1x) + (pi/2 - cos^-1 y) = pi/2`

⇒ cos^–1x + cos^–1y  = `pi/2`.