What is sin(arcsec(x/3)) ?

The solution to sin(arcsec(x/3)) is (sqrt(x^2-9))/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sin(arcsec(x/3))

simplify

sin (arcsec (\frac{x}{3}))

\frac{x ^{2} - 9}{x}

Solution steps

sin (arcsec (\frac{x}{3}))

Use the following identity:

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

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

Simplify

= \frac{x ^{2} - 9}{x}

1 - cos^{2} (θ)

sin (x + \frac{3 π}{2})

cos (6 0^{\circ} + x)

cot (\frac{π}{2} - x)

\frac{2}{1 + tan ^{2} ( θ )}