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Question Number 101589 by student work last updated on 03/Jul/20

if sin10^0 =x          then   sin70^0 =?

$$\mathrm{if}\:\mathrm{sin10}^{\mathrm{0}} =\mathrm{x}\:\:\:\:\:\:\:\:\:\:\mathrm{then}\:\:\:\mathrm{sin70}^{\mathrm{0}} =? \\ $$

Answered by Dwaipayan Shikari last updated on 03/Jul/20

sin70°=cos20°=1−2sin^2 10°=1−2x^2

$${sin}\mathrm{70}°={cos}\mathrm{20}°=\mathrm{1}−\mathrm{2}{sin}^{\mathrm{2}} \mathrm{10}°=\mathrm{1}−\mathrm{2}{x}^{\mathrm{2}} \\ $$

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