What is the value of sin(37.5) ?

The value of sin(37.5) is (sqrt(2)sqrt(4-\sqrt{6)+sqrt(2)})/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(37.5)

sin (37. 5^{\circ})

\frac{2 4 - 6 + 2}{4}

Solution steps

sin (37. 5^{\circ})

Rewrite using trig identities:

\frac{1 - cos ( 7 5 ^{\circ} )}{2}

= \frac{1 - cos ( 7 5 ^{\circ} )}{2}

Rewrite using trig identities:

cos (7 5^{\circ}) = \frac{6 - 2}{4}

= \frac{1 - \frac{6 - 2}{4}}{2}

Simplify

\frac{1 - \frac{6 - 2}{4}}{2} : \frac{2 4 - 6 + 2}{4}

= \frac{2 4 - 6 + 2}{4}

arccos (- 0.52)

arccos (- 0.55)

tan (arctan (53))

arctan (1.8)

2 arcsin (\frac{1}{2})

What is the value of sin(37.5) ?
The value of sin(37.5) is (sqrt(2)sqrt(4-\sqrt{6)+sqrt(2)})/4