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Question

If sinA=13 and A+B=90° then find cosB?


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Solution

Computing the required value using trigonometric identities

Given:

sinA=13A+B=90°

It can be written as,

A=90°-B

Taking sin on both sides.
sinA=sin90°-BcosB=13[sin(90o-θ)=cosθ]

Hence, the value of cosB is 13.


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