The value of 2 sin 2 ⁡ θ + 4 cos ⁡ θ + α sin ⁡ α sin ⁡ θ + cos ⁡ 2 ( α + θ ) is

Question

The value of 2 sin 2 ⁡ θ + 4 cos ⁡ θ + α sin ⁡ α sin ⁡ θ + cos ⁡ 2 ( α + θ ) is, cos ⁡ θ + cos ⁡ α, independent of θ, independent of α, independent of both θ and α

MARKS App · Accepted Answer

2 sin 2 ⁡ θ + 2 cos ⁡ θ + α cos ⁡ θ - α - cos ⁡ θ + α + 2 cos 2 ⁡ θ + α - 1 = 2 sin 2 ⁡ θ + 2 cos 2 ⁡ θ - sin 2 ⁡ α - 1 = 2 - 2 sin 2 ⁡ α - 1 = cos 2 ⁡ α - sin 2 ⁡ α

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