What is the value of sec(arccos(-3/5)) ?

The value of sec(arccos(-3/5)) is -5/3

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sec(arccos(-3/5))

sec (arccos (- \frac{3}{5}))

- \frac{5}{3}

Decimal Notation

- 1.66666 \dots

Solution steps

sec (arccos (- \frac{3}{5}))

Rewrite using trig identities:

sec (arccos (- \frac{3}{5})) = \frac{1}{( - \frac{3}{5} )}

Use the following identity:

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

= \frac{1}{( - \frac{3}{5} )}

= \frac{1}{- \frac{3}{5}}

Simplify

= - \frac{5}{3}

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