3.46 trigonometric identities

Trigonometry equalities, inequalities and expressions - sin, cos, tan, cot

3.46 trigonometric identities

Postby Eigenvalue » Sat Sep 05, 2026 2:14 am

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Re: 3.46 trigonometric identities

Postby Guest » Sat Sep 05, 2026 3:00 am

[tex]\sin 15^\circ+\sin 75^\circ=2\sin 45^\circ\cos 30^\circ=2\cdot\frac{\sqrt{2}}{2}\cdot\frac{\sqrt{3}}{2}=\frac{\sqrt{6}}{2}[/tex]

[tex]\left(\frac{\sqrt{6}}{2}\right)^{6}=\frac{6^{3}}{2^{6}}=\frac{216}{64}=\frac{27}{8}[/tex]
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