What is the value of cos(arcsin(-8/17)) ?

The value of cos(arcsin(-8/17)) is 15/17

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cos(arcsin(-8/17))

cos (arcsin (- \frac{8}{17}))

\frac{15}{17}

Decimal Notation

0.88235 \dots

Solution steps

cos (arcsin (- \frac{8}{17}))

Rewrite using trig identities:

cos (arcsin (- \frac{8}{17})) = 1 - (- \frac{8}{17})^{2}

Use the following identity:

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

= 1 - (- \frac{8}{17})^{2}

= 1 - (- \frac{8}{17})^{2}

Simplify

= \frac{15}{17}

arctan (\frac{- 5}{- 6})

sin (23.5 8^{\circ})

- 3.521 sin (0.503 (6 - 6.75))

cos (3 \cdot \frac{2 π}{3})

150 cos (5 3^{\circ})

What is the value of cos(arcsin(-8/17)) ?
The value of cos(arcsin(-8/17)) is 15/17