What is the value of cos(arcsin(3/7)) ?

The value of cos(arcsin(3/7)) is (2sqrt(10))/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(arcsin(3/7))

cos (arcsin (\frac{3}{7}))

\frac{2 10}{7}

Decimal Notation

0.90350 \dots

Solution steps

cos (arcsin (\frac{3}{7}))

Rewrite using trig identities:

cos (arcsin (\frac{3}{7})) = 1 - (\frac{3}{7})^{2}

Use the following identity:

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

= 1 - (\frac{3}{7})^{2}

= 1 - (\frac{3}{7})^{2}

Simplify

= \frac{2 10}{7}

- 3.5 \cdot 3.5 \cdot sin (3.5 \cdot 2.4 - 0.8)

\frac{120}{tan ( 2 4 ^{\circ} )}

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

arctan (\frac{1.57}{18.75})

sin^{5} (\frac{1}{12})

What is the value of cos(arcsin(3/7)) ?
The value of cos(arcsin(3/7)) is (2sqrt(10))/7