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Question: If sec<sup>–1</sup>x = cosec<sup>–1</sup>y, then cos<sup>–1</sup>![](https://cdn.pureessence.tech/ca...

If sec–1x = cosec–1y, then cos–1 + cos–1=

A

p

B

π4\frac { \pi } { 4 }

C

−π2\frac { - \pi } { 2 }

D

π2\frac { \pi } { 2 }

Answer

π2\frac { \pi } { 2 }

Explanation

Solution

sec–1x = cosec–1 y

cos–1 π2\frac { \pi } { 2 } – cos–1

Ž cos–1 + cos–1 = π2\frac { \pi } { 2 }