Sin to the power 6 theta + cos to the power 6 theta is equal to 1 - 3 sin theta into cos theta prove this
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Answer:
Step-by-step explanation:
Note: The RHS is incorrect. It should be 1 - 3Sin²θCos²θ.
Sin⁶θ + Cos⁶θ
= (Sin²θ)³ + (Cos²θ)³
= (Sin²θ + Cos²θ)(Sin⁴θ - Sin²θCos²θ + Cos⁴θ)
= (Sin²θ)² - Sin²θCos²θ + (Cos²θ)²
= (Sin²θ+Cos²θ)² - 2Sin²θCos²θ - Sin²θCos²θ
= 1 - 3Sin²θCos²θ.
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