What is the value of sin(arccos(-3/4)) ?

The value of sin(arccos(-3/4)) is (sqrt(7))/4

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sin(arccos(-3/4))

sin (arccos (- \frac{3}{4}))

\frac{7}{4}

Decimal Notation

0.66143 \dots

Solution steps

sin (arccos (- \frac{3}{4}))

Rewrite using trig identities:

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

Use the following identity:

sin (arccos (x)) = 1 - x^{2}

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

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

Simplify

= \frac{7}{4}

3 tan (2 0^{\circ})

arctan (2.3)

\frac{- 0.1}{sin ( - 0.1 )}

cos (1)

tan (\frac{7}{6} π)

What is the value of sin(arccos(-3/4)) ?
The value of sin(arccos(-3/4)) is (sqrt(7))/4