Question

find value of cos 2x if sin x=√5/3 and 0<x<pi/2..

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Answer 1

Answer:

sin x=✓5/3

Now, cos2x = 1 - 2sin²x

So, sin x = ✓5/3

Squaring on both sides,

sin²x = 5/9

Now, cos2x = 1 - 2(5/9)

cos2x = 1 - 10/9

cos2x = -1/9

Hope it helps you!!

Answer 2

Answer:

thanks for giving free points