What is the value of sin(arccos((sqrt(3))/4)) ?

The value of sin(arccos((sqrt(3))/4)) is (sqrt(13))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(arccos((sqrt(3))/4))

sin (arccos (\frac{3}{4}))

\frac{13}{4}

Decimal Notation

0.90138 \dots

Solution steps

sin (arccos (\frac{3}{4}))

Rewrite using trig identities:

sin (arccos (\frac{3}{4})) = 1 - (\frac{3}{4})^{2}

Use the following identity:

sin (arccos (x)) = 1 - x^{2}

= 1 - (\frac{3}{4})^{2}

= 1 - (\frac{3}{4})^{2}

Simplify

= \frac{13}{4}

cos (3) (\frac{π}{3})

- sin (- 1)

12 sin (4 5^{\circ})

2 \cdot cos (6 0^{\circ})

sin (\frac{π}{3}) cos (\frac{π}{2}) + cos (\frac{π}{3}) sin (\frac{π}{2})

What is the value of sin(arccos((sqrt(3))/4)) ?
The value of sin(arccos((sqrt(3))/4)) is (sqrt(13))/4