What is the value of sin(arccos(5/7)) ?

The value of sin(arccos(5/7)) is (2sqrt(6))/7

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sin(arccos(5/7))

sin (arccos (\frac{5}{7}))

\frac{2 6}{7}

Decimal Notation

0.69985 \dots

Solution steps

sin (arccos (\frac{5}{7}))

Rewrite using trig identities:

sin (arccos (\frac{5}{7})) = 1 - (\frac{5}{7})^{2}

Use the following identity:

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

= 1 - (\frac{5}{7})^{2}

= 1 - (\frac{5}{7})^{2}

Simplify

= \frac{2 6}{7}

\frac{10.8}{sin ( 5 7 ^{\circ} )}

tan (- 54 0^{\circ})

tan (0.6)

tan (2 arccos (\frac{3}{5}))

arctan (\frac{2.5}{1.9})

What is the value of sin(arccos(5/7)) ?
The value of sin(arccos(5/7)) is (2sqrt(6))/7