What is the value of cos(arcsin(-2/7)) ?

The value of cos(arcsin(-2/7)) is (3sqrt(5))/7

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cos(arcsin(-2/7))

cos (arcsin (- \frac{2}{7}))

\frac{3 5}{7}

Decimal Notation

0.95831 \dots

Solution steps

cos (arcsin (- \frac{2}{7}))

Rewrite using trig identities:

cos (arcsin (- \frac{2}{7})) = 1 - (- \frac{2}{7})^{2}

Use the following identity:

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

= 1 - (- \frac{2}{7})^{2}

= 1 - (- \frac{2}{7})^{2}

Simplify

= \frac{3 5}{7}

2 cot (\frac{π}{5})

arccos (\frac{6}{18})

arcsin (\frac{7}{13})

\frac{6}{sin ( 5 5 ^{\circ} )}

tan (arccos (\frac{- 12}{13}))

What is the value of cos(arcsin(-2/7)) ?
The value of cos(arcsin(-2/7)) is (3sqrt(5))/7