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Question

If sinθ=513, where θ is an acute angle, then find the value of cosθ.

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Solution

Given : sinθ=513
To find : cosθ=?
We know that,
sinθ=PH=ABAC=513
According to Pythagoras theorem, we get
P2+B2=H2
(5)2+B2=(13)2
B2=16925
B2=144
B=12=BC
cosθ=BH=BCAC=1213
cosθ=1213
635332_599452_ans_a581430b89134f56b48defd8c438a20d.png

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