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

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

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cos(arcsec(-2sqrt(5)))

cos (arcsec (- 25))

- \frac{5}{10}

Decimal Notation

- 0.22360 \dots

Solution steps

cos (arcsec (- 25))

Rewrite using trig identities:

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

Use the following identity:

cos (arcsec (x)) = \frac{1}{x}

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

= \frac{1}{- 2 5}

Simplify

= - \frac{5}{10}

\frac{119.64}{0.3 \cdot 0.3 \cdot cos ( 43. 4 ^{\circ} )}

4 tan (\frac{π}{3})

sin (2) (- 6 0^{\circ})

tan (- 1.8)

arcsin (0.9848)

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