What is the value of sin(arcsec(3)) ?

The value of sin(arcsec(3)) is (2sqrt(2))/3

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sin(arcsec(3))

sin (arcsec (3))

\frac{2 2}{3}

Decimal Notation

0.94280 \dots

Solution steps

sin (arcsec (3))

Rewrite using trig identities:

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

Use the following identity:

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

= 1 - \frac{1}{3 ^{2}}

= 1 - \frac{1}{3 ^{2}}

Simplify

= \frac{2 2}{3}

2 sin (- \frac{π}{2})

sin (1 5^{\circ}) cos (10 5^{\circ}) + cos (1 5^{\circ}) sin (10 5^{\circ})

arctan (\frac{4}{12})

sin (13 2^{\circ})

4 sin (2)

What is the value of sin(arcsec(3)) ?
The value of sin(arcsec(3)) is (2sqrt(2))/3