If sin-cos-x- prove that sin 6 -cos 6 -4-3 - 2-124-

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Range of Trigonometric Ratios from 0 to 90 Degrees

If sinθ+cosθ=...

Question

If sin θ + cos θ = x, prove that $\sin^{6} θ + \cos^{6} θ = \frac{4 - 3 {(x^{2} - 1)}^{2}}{4}$ .

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