How do you evaluate $cot ({cos}^{- 1} (- 0.7003))$ $cot (cos^-1(-0.7003))$ ?

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Answer 1 · 2016-08-31T14:56:18

$- .981830523$ $- .981830523$ , nearly

Let $a = {cos}^{- 1} (- .7003) \in Q 2$ $a = cos^(-1)(-.7003) in Q2$ , for principal value. In Q2, cotangent

is positive.

The given expression is

$cot a$ $cot a$

$= \frac{cos a}{sin a}$ $= cos a/sin a$

$= - \frac{.7003}{\sqrt{1 - {(- .7003)}^{2}}}$ $= -.7003/sqrt(1-(-.7003)^2)$

$= - .981830523$ $=- .981830523$ , nearly..

Had we allowed other values of a in Q3,, wherein cot a is positive,

$cot a = .981830523$ $cot a=.981830523$ , nearly..

How do you evaluate cot(cos−1(−0.7003))cot (cos^-1(-0.7003))?