What is the value of sec(arccos(-5/6)) ?

The value of sec(arccos(-5/6)) is -6/5

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sec(arccos(-5/6))

sec (arccos (- \frac{5}{6}))

- \frac{6}{5}

Decimal Notation

- 1.2

Solution steps

sec (arccos (- \frac{5}{6}))

Rewrite using trig identities:

sec (arccos (- \frac{5}{6})) = \frac{1}{( - \frac{5}{6} )}

Use the following identity:

sec (arccos (x)) = \frac{1}{x}

= \frac{1}{( - \frac{5}{6} )}

= \frac{1}{- \frac{5}{6}}

Simplify

= - \frac{6}{5}

cos^{2} (\frac{π}{4}) - sin^{2} (\frac{π}{4})

\frac{cos ( 2 π )}{3}

- cos^{3} (0)

cos (\frac{\frac{π}{3}}{2})

5 cos (\frac{7 π}{6})