Given that $\cos x=\dfrac{7}{25}$ and that $\sin x$ is negative, find the exact value of each of

Question

Given that $\cos x=\dfrac{7}{25}$ and that $\sin x$ is negative, find the exact value of each of the following. $\sin x$ $\cot x$ $\operatorname{cosec}(-x)$ $\cos(90{}^\circ-x)$

Accepted Answer

(a) $-\frac{24}{25}$ (b) $-\frac{7}{24}$ (c) $\frac{25}{24}$ (d) $-\frac{24}{25}$

Exact ratios from cosine with negative sine

Exact ratios from cosine with negative sine

Solution:

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