Given that $\operatorname{cosec} x=-\dfrac{25}{7}$ and that $\tan x$ is positive, find the exact

Question

Given that $\operatorname{cosec} x=-\dfrac{25}{7}$ and that $\tan x$ is positive, find the exact value of each of the following. $\cos x$ $\tan x$ $\sec(-x)$ $\sin(180{}^\circ-x)$

Accepted Answer

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

Exact ratios from cosecant with positive tangent

Exact ratios from cosecant with positive tangent

Solution:

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