Express $\sin \theta$, $\cos \theta$ and $\tan \theta$ in terms of the ratios of its basic ang

Question

Express $\sin \theta$, $\cos \theta$ and $\tan \theta$ in terms of the ratios of its basic angles. $\theta = 250^\circ$ $\theta = \frac{7}{3}\pi$ $\theta = -\frac{13}{4}\pi$ $\theta = -\frac{11}{7}\pi$

Accepted Answer

(a) sin 250°=-sin 70°, cos 250°=-cos 70°, tan 250°=tan 70°. (b) All three ratios equal their values at pi/3. (c) sin(-13pi/4)=sin(pi/4), cos(-13pi/4)=-cos(pi/4), tan(-13pi/4)=-tan(pi/4). (d) All three ratios equal their values at 3pi/7.

Trigonometry - Symmetry of Trigonometric Functions

Trigonometry - Symmetry of Trigonometric Functions

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