What is the value of cos(arcsin(-5/13)) ?

The value of cos(arcsin(-5/13)) is 12/13

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cos(arcsin(-5/13))

cos (arcsin (- \frac{5}{13}))

\frac{12}{13}

Decimal Notation

0.92307 \dots

Solution steps

cos (arcsin (- \frac{5}{13}))

Rewrite using trig identities:

cos (arcsin (- \frac{5}{13})) = 1 - (- \frac{5}{13})^{2}

Use the following identity:

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

= 1 - (- \frac{5}{13})^{2}

= 1 - (- \frac{5}{13})^{2}

Simplify

= \frac{12}{13}

15 0^{22} + 3 5^{2} - 2 (150) (35) cos (11 0^{\circ})

sin (2 arccos (- \frac{12}{13}))

arctan (cot (\frac{π}{8}))

arctan (\frac{20}{30})

7 cos (\frac{π}{6})

What is the value of cos(arcsin(-5/13)) ?
The value of cos(arcsin(-5/13)) is 12/13