What is the value of cos(arcsin(-0.845)) ?

The value of cos(arcsin(-0.845)) is (3sqrt(1271))/(200)

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cos(arcsin(-0.845))

cos (arcsin (- 0.845))

\frac{3 1271}{200}

Decimal Notation

0.53476 \dots

Solution steps

cos (arcsin (- 0.845))

= cos (arcsin (- \frac{169}{200}))

Rewrite using trig identities:

cos (arcsin (- \frac{169}{200})) = 1 - (- \frac{169}{200})^{2}

Use the following identity:

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

= 1 - (- \frac{169}{200})^{2}

= 1 - (- \frac{169}{200})^{2}

Simplify

= \frac{3 1271}{200}

\frac{tan ( 2 5 ^{\circ} ) + tan ( 2 0 ^{\circ} )}{1 - tan ( 2 5 ^{\circ} ) tan ( 2 0 ^{\circ} )}

sin (9 4^{\circ})

cos (0) + 1

250 sin (3 0^{\circ})

- 1 + cos (- 1)

What is the value of cos(arcsin(-0.845)) ?
The value of cos(arcsin(-0.845)) is (3sqrt(1271))/(200)