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If-sin-sin-2-1-sin-4-and-sin-5-are-in-AP-where-pi-lt-lt-pi-then-lies-in-the-interval-




Question Number 25371 by ppriyanshupatel200252@gmail.co last updated on 09/Dec/17
If sin α, sin^2 α, 1, sin^4 α and sin^5 α are in AP,  where   −π<α < π, then α lies in the  interval
$$\mathrm{If}\:\mathrm{sin}\:\alpha,\:\mathrm{sin}^{\mathrm{2}} \alpha,\:\mathrm{1},\:\mathrm{sin}^{\mathrm{4}} \alpha\:\mathrm{and}\:\mathrm{sin}^{\mathrm{5}} \alpha\:\mathrm{are}\:\mathrm{in}\:\mathrm{AP}, \\ $$$$\mathrm{where}\:\:\:−\pi<\alpha\:<\:\pi,\:\mathrm{then}\:\alpha\:\mathrm{lies}\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{interval} \\ $$

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