What is the value of cos(arcsin(3/4)) ?

The value of cos(arcsin(3/4)) is (sqrt(7))/4

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cos(arcsin(3/4))

cos (arcsin (\frac{3}{4}))

\frac{7}{4}

Decimal Notation

0.66143 \dots

Solution steps

cos (arcsin (\frac{3}{4}))

Rewrite using trig identities:

cos (arcsin (\frac{3}{4})) = 1 - (\frac{3}{4})^{2}

Use the following identity:

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

= 1 - (\frac{3}{4})^{2}

= 1 - (\frac{3}{4})^{2}

Simplify

= \frac{7}{4}

\frac{200}{cos ( 6 0 ^{\circ} )}

2 \cdot cos (\frac{π}{8}) \cdot sin (\frac{7 π}{8})

3 (cos (\frac{π}{4}) + i sin (\frac{π}{4}))

arcsin (\frac{6.5}{9.3})

cot (\frac{16 π}{3})

What is the value of cos(arcsin(3/4)) ?
The value of cos(arcsin(3/4)) is (sqrt(7))/4