What is the value of cos(arcsin(-4/7)) ?

The value of cos(arcsin(-4/7)) is (sqrt(33))/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(arcsin(-4/7))

cos (arcsin (- \frac{4}{7}))

\frac{33}{7}

Decimal Notation

0.82065 \dots

Solution steps

cos (arcsin (- \frac{4}{7}))

Rewrite using trig identities:

cos (arcsin (- \frac{4}{7})) = 1 - (- \frac{4}{7})^{2}

Use the following identity:

cos (arcsin (x)) = 1 - x^{2}

= 1 - (- \frac{4}{7})^{2}

= 1 - (- \frac{4}{7})^{2}

Simplify

= \frac{33}{7}

sin (4 5^{\circ}) \cdot 6

sin (\frac{π}{2}) - sin (\frac{π}{6})

ln ∣ cos (0) ∣

arctan (\frac{6.04}{9.8} + 0.5)

sec (0.52)

What is the value of cos(arcsin(-4/7)) ?
The value of cos(arcsin(-4/7)) is (sqrt(33))/7