What is the value of sin(arccos(5/(sqrt(61)))) ?

The value of sin(arccos(5/(sqrt(61)))) is (6sqrt(61))/(61)

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sin(arccos(5/(sqrt(61))))

sin (arccos (\frac{5}{61}))

\frac{6 61}{61}

Decimal Notation

0.76822 \dots

Solution steps

sin (arccos (\frac{5}{61}))

Rewrite using trig identities:

sin (arccos (\frac{5}{61})) = 1 - (\frac{5}{61})^{2}

Use the following identity:

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

= 1 - (\frac{5}{61})^{2}

= 1 - (\frac{5}{61})^{2}

Simplify

= \frac{6 61}{61}

\frac{cot ^{2} ( 4 5 ^{\circ} )}{cot ^{2} ( 2 5 ^{\circ} )}

arctan (\frac{26.5}{35.05})

cot (8 5^{\circ})

arctan (\frac{2}{1})

sin (35 9^{\circ})

What is the value of sin(arccos(5/(sqrt(61)))) ?
The value of sin(arccos(5/(sqrt(61)))) is (6sqrt(61))/(61)