What is the value of sin(arccos(0.85)) ?

The value of sin(arccos(0.85)) is (sqrt(111))/(20)

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sin(arccos(0.85))

sin (arccos (0.85))

\frac{111}{20}

Decimal Notation

0.52678 \dots

Solution steps

sin (arccos (0.85))

= sin (arccos (\frac{17}{20}))

Rewrite using trig identities:

sin (arccos (\frac{17}{20})) = 1 - (\frac{17}{20})^{2}

Use the following identity:

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

= 1 - (\frac{17}{20})^{2}

= 1 - (\frac{17}{20})^{2}

Simplify

= \frac{111}{20}

\frac{sin ( 6 0 ^{\circ} )}{1.5}

csc (2) (132.7)

\frac{( 9.5 ) ( 2.6 ) ( 9.81 )}{9.5 + 2.6} (1 + sin (3 4^{\circ}))

arcsin (0.513)

arcsin (0.515)

What is the value of sin(arccos(0.85)) ?
The value of sin(arccos(0.85)) is (sqrt(111))/(20)