Given that $\sin \alpha = -\frac{5}{13}$ and $\cos \beta = \frac{4}{5}$, $\alpha$ and \(\

Question

Given that $\sin \alpha = -\frac{5}{13}$ and $\cos \beta = \frac{4}{5}$, $\alpha$ and $\beta$ are in the same quadrant, find without using the calculator, the value of $\cos(90{}^\circ - \alpha)$ and $\tan(\alpha - \beta)$.

Accepted Answer

$\cos(90^\circ-\alpha)=-\frac{5}{13}$ $\tan(\alpha-\beta)=\frac{16}{63}$

Trigonometry - Compound and Double-Angle Identities

Trigonometry - Compound and Double-Angle Identities

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