Mathematics: Find the indicated value. use either half angle formulas or sum and difference formulas. sin15° = tan75° =

Find the indicated value. use either half angle

Ответ:

gg68814

16.01.2022

By the angle difference formula for sines, we have:

$\sin 15^\circ = \sin 45^\circ \cos 30^\circ - \sin 30^\circ \cos 45^\circ = \frac{sqrt{6}}{4} - \frac{sqrt{2}}{4} = \frac{\sqrt{6} - \sqrt{2}}{4}.$

By the angle sum formula for tangents, we have:

$\tan 75^\circ = \frac{\tan 45^\circ + \tan 30^\circ}{1 - \tan 45^\circ \tan 30^\circ} = \frac{1+\frac{\sqrt{3}}{3}}{1 - \frac{\sqrt{3}}{3}} = \frac{3 + \sqrt{3}}{3 - \sqrt{3}}$ .

Rationalizing the denominator gives $\frac{12+6\sqrt{3}}{6} = 2+\sqrt{3}$ as the final answer.

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Ответ:

vapelordcarl69

12.03.2021

Mathematics

The product for 21 is 3, 7
6.3×10-4=6.3×6=37.8

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Find the indicated value. use either half angle formulas or sum and difference formulas.

sin15° =

tan75° =

Ответ:

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