If 2 cos-sin-x and cos-3 sin-y- Prove that 2 x2-y2-2 x y-5-

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Value of Standard Angle(30,60,90)

If 2 cosθ-sin...

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If 2 cos θ − sin θ = x and cos θ − 3 sin θ = y. Prove that 2x² + y² − 2xy = 5.

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2 x^{2} + y^{2} + 2 x y = 5

x = (2 cos θ - sin θ) a n d y = (cos θ - 3 sin θ)

I f

2 c o s θ - s i n θ = x a n d c o s θ - 3 s i n θ = y p r o v e t h a t 2 x^{2} + y^{2} - 2 x y = 5

x = 2 cos θ - sin θ; y = cos θ - 3 sin θ,

(3 x - y)^{2} + (x - 2 y)^{2}

If $cos θ + sin θ = \sqrt{2} cos θ$ , prove that $cos θ - sin θ = \sqrt{2} sin θ$ .

s i n θ + 2 c o s θ = 1

2 s i n θ - c o s θ = 2

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