What is the value of sec(arccos(-(sqrt(3))/2)) ?

The value of sec(arccos(-(sqrt(3))/2)) is -(2sqrt(3))/3

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sec(arccos(-(sqrt(3))/2))

sec (arccos (- \frac{3}{2}))

- \frac{2 3}{3}

Decimal Notation

- 1.15470 \dots

Solution steps

sec (arccos (- \frac{3}{2}))

Rewrite using trig identities:

sec (arccos (- \frac{3}{2})) = \frac{1}{( - \frac{3}{2} )}

Use the following identity:

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

= \frac{1}{( - \frac{3}{2} )}

= \frac{1}{- \frac{3}{2}}

Simplify

= - \frac{2 3}{3}

(10) sin (2 5^{\circ})

(π) cos (π)

2 + 4 sin (0)

arctan (\frac{28}{96})

\frac{arctan ( - \frac{1}{3} ) π ^{1}}{10}

What is the value of sec(arccos(-(sqrt(3))/2)) ?
The value of sec(arccos(-(sqrt(3))/2)) is -(2sqrt(3))/3