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Question


What is the length of the third side in the above triangle?

A
sin θ
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B
cot θ
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C
sec θ
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D
cos θ
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Solution

The correct option is B cot θ
From Pythagoras theorem, we have

(adjacent side)2+(opposite side)2=(hypotenuse)2

opposite side=(hypotenuse)2(adjacent side)2

opposite side=(cosec θ)2(1)2

As we know, (cosecθ)2(1)2=cot2θ

opposite side=cot2θ

opposite side=cot θ

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