What is the value of sin(arccos(15/17)) ?

The value of sin(arccos(15/17)) is 8/17

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sin(arccos(15/17))

sin (arccos (\frac{15}{17}))

\frac{8}{17}

Decimal Notation

0.47058 \dots

Solution steps

sin (arccos (\frac{15}{17}))

Rewrite using trig identities:

sin (arccos (\frac{15}{17})) = 1 - (\frac{15}{17})^{2}

Use the following identity:

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

= 1 - (\frac{15}{17})^{2}

= 1 - (\frac{15}{17})^{2}

Simplify

= \frac{8}{17}

arctan (\frac{11}{3})

tan (\frac{0}{2})

3 sin (- \frac{π}{3})

sec (- 67 5^{\circ})

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What is the value of sin(arccos(15/17)) ?
The value of sin(arccos(15/17)) is 8/17