What is the value of sin(arcsec(8)) ?

The value of sin(arcsec(8)) is (3sqrt(7))/8

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sin(arcsec(8))

sin (arcsec (8))

\frac{3 7}{8}

Decimal Notation

0.99215 \dots

Solution steps

sin (arcsec (8))

Rewrite using trig identities:

sin (arcsec (8)) = 1 - \frac{1}{8 ^{2}}

Use the following identity:

sin (arcsec (x)) = 1 - \frac{1}{x ^{2}}

= 1 - \frac{1}{8 ^{2}}

= 1 - \frac{1}{8 ^{2}}

Simplify

= \frac{3 7}{8}

- arctan (3)

sin (\frac{π}{4} - \frac{π}{2})

sec (2 6^{\circ})

arcsin (\frac{6}{5})

4 (sin (3 0^{\circ}))

What is the value of sin(arcsec(8)) ?
The value of sin(arcsec(8)) is (3sqrt(7))/8