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If sin is the geometric mean between sin cos then cos 2

Question

If $s in β$ is the geometric mean between $s in α$ $cos α$ then $cos 2 β$ is equal to :

2 s i n^{2} (\frac{π}{4} + α)

1 - s in (2 α)

2 co s^{2} (\frac{π}{4} - α)

2 s i n^{2} (\frac{π}{4} - α)

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Mila Discussed

s in β

is the geometric mean between

s in α

cos α

then

cos 2 β

is equal to :

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

Given:

s in β

is the geometric mean between

s in α

and

cos α

∴ s in β = s in α . cos α = \frac{1}{4} s in 2 α

C os 2 β = 1 - 2 s i n^{2} β = 1 - 2 s in α cos α = 1 - s in 2 α

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Question Text	If $s in β$ is the geometric mean between $s in α$ $cos α$ then $cos 2 β$ is equal to :
Answer Type	Text solution:1
Upvotes	150