What is the value of sin(arcsec(-2sqrt(5))) ?

The value of sin(arcsec(-2sqrt(5))) is (sqrt(95))/(10)

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sin(arcsec(-2sqrt(5)))

sin (arcsec (- 25))

\frac{95}{10}

Decimal Notation

0.97467 \dots

Solution steps

sin (arcsec (- 25))

Rewrite using trig identities:

sin (arcsec (- 25)) = 1 - \frac{1}{( - 2 5 ) ^{2}}

Use the following identity:

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

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

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

Simplify

= \frac{95}{10}

65 sin (5 2^{\circ})

arctan (\frac{20}{6})

1.5 sin (524 π \cdot 9.43)

tan^{2} (4 5^{\circ} + \frac{28}{2})

\frac{tan ( 4 π )}{3}

What is the value of sin(arcsec(-2sqrt(5))) ?
The value of sin(arcsec(-2sqrt(5))) is (sqrt(95))/(10)