What is the value of sec(arcsin(-1/3)) ?

The value of sec(arcsin(-1/3)) is (3sqrt(2))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(arcsin(-1/3))

sec (arcsin (- \frac{1}{3}))

\frac{3 2}{4}

Decimal Notation

1.06066 \dots

Solution steps

sec (arcsin (- \frac{1}{3}))

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= \frac{3 2}{4}

sin (\frac{1}{2 π})

7 tan (3 0^{\circ})

tan (18. 5^{\circ})

- ln (cos (\frac{π}{4}))

arctan (\frac{8}{17})

What is the value of sec(arcsin(-1/3)) ?
The value of sec(arcsin(-1/3)) is (3sqrt(2))/4