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Q.

If A=sin480+cos480,B=sin440+cos440 then

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a

A>B

b

A<B

c

A=B

d

A2=B

answer is B.

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Detailed Solution

4tan2θ=sinθcosθsinθ=cos3θ

Given expression can be written is 

sin6θ3sin2θ+3sin2θ1+3+sin2θ

sin2θ13+3+sin2θ=cos6θ+3+sin2θ

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