What is the value of sin(arccos(3/7)) ?

The value of sin(arccos(3/7)) is (2sqrt(10))/7

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sin(arccos(3/7))

sin (arccos (\frac{3}{7}))

\frac{2 10}{7}

Decimal Notation

0.90350 \dots

Solution steps

sin (arccos (\frac{3}{7}))

Rewrite using trig identities:

sin (arccos (\frac{3}{7})) = 1 - (\frac{3}{7})^{2}

Use the following identity:

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

= 1 - (\frac{3}{7})^{2}

= 1 - (\frac{3}{7})^{2}

Simplify

= \frac{2 10}{7}

0.5 sin (4 0^{\circ})

arctan (2.25)

90 sin (4 5^{\circ})

sin (\frac{1}{\frac{2}{7 π}})

tan (\frac{\frac{π}{2}}{2})

What is the value of sin(arccos(3/7)) ?
The value of sin(arccos(3/7)) is (2sqrt(10))/7