What is the value of cos(arcsin(-4/5)) ?

The value of cos(arcsin(-4/5)) is 3/5

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cos(arcsin(-4/5))

cos (arcsin (- \frac{4}{5}))

\frac{3}{5}

Decimal Notation

0.6

Solution steps

cos (arcsin (- \frac{4}{5}))

Rewrite using trig identities:

cos (arcsin (- \frac{4}{5})) = 1 - (- \frac{4}{5})^{2}

Use the following identity:

cos (arcsin (x)) = 1 - x^{2}

= 1 - (- \frac{4}{5})^{2}

= 1 - (- \frac{4}{5})^{2}

Simplify

= \frac{3}{5}

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