If x-cos- -cos-cos- - and y-4sin-2sin-2cos - - 2 - then x-y is equal to

The correct option is A 1 x=cosα+cosβ cos(α+β)=2cosα+β2cosα β2 (2cos^2 α+β2 1) #160; #160; #160; #160; #160; #160; #160; #160 ...

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Cos(A+B)Cos(A-B)

If x=cosα +...

Question

If $x = cos α + cos β - cos (α + β)$ and $y = 4 sin \frac{α}{2} sin \frac{β}{2} cos (\frac{α + β}{2})$ , then $(x - y)$ is equal to

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Solution

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Similar questions

x = cos α + cos β - cos (α + β)

y = 4 sin \frac{α}{2} sin \frac{β}{2} cos (\frac{α + β}{2})

(x - y)

a = cos α + cos β - cos (α + β),

b = 4 sin \frac{α}{2} sin \frac{β}{2} cos (\frac{α + β}{2})

a - b

cos α = \frac{1}{2} (x + \frac{1}{x}), cos β = \frac{1}{2} (y + \frac{1}{y})

cos (α - β)

cos α = \frac{1}{2} (\begin{matrix} x + \frac{1}{x} \end{matrix})

cos β = \frac{1}{2} (\begin{matrix} y + \frac{1}{y} \end{matrix}), (x y > 0) x, y, α, β \in R

a = cos α + i sin α, b = cos β + i sin β,

c = cos γ + i sin γ

\frac{a}{b} + \frac{b}{c} + \frac{c}{a} = 1,

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