Question

cos^2(45-a) - sin^2(45-A) = 2sinA

$cos^2(45-a) - sin^2(45-A) = 2sinA$

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Answer 1

Explanation:

sin2(45−a)=sin(45−a)sin(45−a)

Using the angle subtraction formula for sine:

sin(45−a)sin(45−a)=(sin45cosa−sinacos45)(sin45cosa−sinacos45)

sin45=cos45=√22 So:

(√22cosa−√22sina)(√22cosa−√22sina)

Factor out the √22 in both expressions:

√

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