Question

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

Answer 1

Answer:

-pi/2

Step-by-step explanation:

sin^-1x + sin^-1y = pi/2

From sin ^-1x + cos^-1x = pi/2

sin^-1x = pi/2-cos^-1x

sin^-1y = pi/2-cos^-1y

put the value of sin^-1x and sin^-1y

pi/2-cos^-1x + pi/2-cos^-1y=pi/2

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

cos^-1x + cos^-1y = pi/2 - pi

cos^-1x + cos^-1y = -pi/2

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Answer 2

Answer:

The answer is π/2

Step-by-step explanation:

cos^–1 x + cos^–1 y

= ( π/2 - sin^–1 x) + ( π/2 - sin^–1 y)

= π - ( sin^–1 x + sin^–1 y)

= π - π/2

= π/2

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