What is the value of cos(arcsin(10/26)) ?

The value of cos(arcsin(10/26)) is 12/13

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(arcsin(10/26))

cos (arcsin (\frac{10}{26}))

\frac{12}{13}

Decimal Notation

0.92307 \dots

Solution steps

cos (arcsin (\frac{10}{26}))

Rewrite using trig identities:

cos (arcsin (\frac{10}{26})) = 1 - (\frac{10}{26})^{2}

Use the following identity:

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

= 1 - (\frac{10}{26})^{2}

= 1 - (\frac{10}{26})^{2}

Simplify

= \frac{12}{13}

\frac{8}{cos ( 4 0 ^{\circ} )}

15 sin (9 0^{\circ})

1^{s i n (1)}

\frac{2.5}{sin ( 3 0 ^{\circ} )}

arctan (- \frac{6}{6})

What is the value of cos(arcsin(10/26)) ?
The value of cos(arcsin(10/26)) is 12/13