"What is cos−1(12) ?" solved and explained

Secondary
Geometry
Trigonometry
Trigonometric Functions

kuvitia9f

Answered question

2021-12-26

What is

\cos^{- 1} (\frac{1}{2})

Answer & Explanation

Lindsey Gamble

Beginner2021-12-27Added 38 answers

Explanation:

\arccos x = \frac{1}{2}

Trig table of special arcs gives

\cos x = \frac{1}{2} \to x = \frac{π}{3}

Trig unit circle gives another arc x that has the same

\cos

value

\cos x = \frac{12}{\to} x = - \frac{π}{3}

, or

x = \frac{5 π}{3}

(co-terminal)
Answers:

\frac{π}{3}

and

\frac{5 π}{3}

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