Given that $\tan x=-\dfrac{20}{21}$ and that $\cos x$ and $\tan x$ have opposite sig

Question

Given that $\tan x=-\dfrac{20}{21}$ and that $\cos x$ and $\tan x$ have opposite signs, find the exact value of each of the following. $\sin(-x)$ $\tan(-x)$ $\cos(90{}^\circ-x)$ $\cot(90{}^\circ-x)$

Accepted Answer

(a) $\frac{20}{29}$ (b) $\frac{20}{21}$ (c) $-\frac{20}{29}$ (d) $-\frac{20}{21}$

Negative-angle and complementary ratios from tangent

Negative-angle and complementary ratios from tangent

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