What is the value of sin(30)cos(45) ?

The value of sin(30)cos(45) is (sqrt(2))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(30)cos(45)

sin (3 0^{\circ}) cos (4 5^{\circ})

\frac{2}{4}

Solution steps

sin (3 0^{\circ}) cos (4 5^{\circ})

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

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

= \frac{1}{2} \cdot \frac{2}{2}

Simplify

\frac{1}{2} \cdot \frac{2}{2} : \frac{2}{4}

= \frac{2}{4}

4 cos^{2} (3 0^{\circ}) + 6 sin^{2} (3 0^{\circ})

ln (sec (\frac{π}{3}) + tan (\frac{π}{3}))

cos (12 0^{\circ}) + tan^{2} (24 0^{\circ}) - 5

\frac{cos ( 6 0 ^{\circ} )}{cos ( 4 5 ^{\circ} )}

arctan (tan (\frac{5 π}{7}))

What is the value of sin(30)cos(45) ?
The value of sin(30)cos(45) is (sqrt(2))/4