What is the value of cos(arcsin(1/5)) ?

The value of cos(arcsin(1/5)) is (2sqrt(6))/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(arcsin(1/5))

cos (arcsin (\frac{1}{5}))

\frac{2 6}{5}

Decimal Notation

0.97979 \dots

Solution steps

cos (arcsin (\frac{1}{5}))

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= \frac{2 6}{5}

cos (\frac{π}{2} + \frac{π}{4})

7 (cos (\frac{3 π}{4}) + i sin (\frac{3 π}{4}))

tan (7 7^{\circ})

24 \cdot tan (3 0^{\circ})

cot (arcsin (- \frac{3}{2}))

What is the value of cos(arcsin(1/5)) ?
The value of cos(arcsin(1/5)) is (2sqrt(6))/5