[Math] Evaluate the $\sin$, $\cos$ and $\tan$ without using calculator

circlesgeometrytrigonometry

Evaluate the $\sin$, $\cos$ and $\tan$ without using calculator?

$150$ degree

the right answer are $\frac{1}{2}$, $-\frac{\sqrt{3}}{2}$and $-\frac{1}{\sqrt{3}} $

$-315$ degree

the right answer are $\frac{1}{\sqrt{2}}$, $\frac{1}{\sqrt{2}}$ and $1$.

Best Answer

Hints:

  • Write $150$ as $90 + 60$ and use $\sin(A+B),\cos(A+B),\tan(A+B)$ formulas.

  • Write $315$ as $270 + 45$

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