What is the value of sin(pi/5)cos((2pi)/(15))+cos(pi/5)sin((2pi)/(15)) ?

The value of sin(pi/5)cos((2pi)/(15))+cos(pi/5)sin((2pi)/(15)) is (sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(pi/5)cos((2pi)/(15))+cos(pi/5)sin((2pi)/(15))

sin (\frac{π}{5}) cos (\frac{2 π}{15}) + cos (\frac{π}{5}) sin (\frac{2 π}{15})

\frac{3}{2}

Solution steps

sin (\frac{π}{5}) cos (\frac{2 π}{15}) + cos (\frac{π}{5}) sin (\frac{2 π}{15})

Rewrite using trig identities:

sin (\frac{π}{3})

= sin (\frac{π}{3})

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

= \frac{3}{2}

\frac{0.02}{tan ( 20 7 ^{\circ} )}

e^{\frac{3 π}{2}} sin (\frac{3 π}{2})

sec (3 1^{\circ})

arccos (\frac{- 4}{21})

cos (arccsc (- 2))

What is the value of sin(pi/5)cos((2pi)/(15))+cos(pi/5)sin((2pi)/(15)) ?
The value of sin(pi/5)cos((2pi)/(15))+cos(pi/5)sin((2pi)/(15)) is (sqrt(3))/2