Question

If cscθ = 3/2, then cosθ =_____.

Answer 1

cosθ  =√5/3

Step-by-step explanation:

The formula for cscθ =hypotenuse/opposite

cscθ =1/sinθ

If cscθ =3/2 this means the hypotenuse is 3 and the opposite side value is 2.Find the adjacent side value by applying the Pythagorean relationship equation; where

Adjacent side , A²=3²-2² ⇒⇒A=√5

cosθ  =Adjacent side/Hypotenuse side

cosθ  =√5/3

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Keyword : cosine,cosec

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