What is the value of sin(arccos(4/9)) ?

The value of sin(arccos(4/9)) is (sqrt(65))/9

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sin(arccos(4/9))

sin (arccos (\frac{4}{9}))

\frac{65}{9}

Decimal Notation

0.89580 \dots

Solution steps

sin (arccos (\frac{4}{9}))

Rewrite using trig identities:

sin (arccos (\frac{4}{9})) = 1 - (\frac{4}{9})^{2}

Use the following identity:

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

= 1 - (\frac{4}{9})^{2}

= 1 - (\frac{4}{9})^{2}

Simplify

= \frac{65}{9}

csc (\frac{π}{8})

4 sin (4 5^{\circ})

sin (- 36 0^{\circ})

40 sin (6 0^{\circ})

arcsin (\frac{6}{7})

What is the value of sin(arccos(4/9)) ?
The value of sin(arccos(4/9)) is (sqrt(65))/9