What is the value of sin(80)cos(20)-cos(80)sin(20) ?

The value of sin(80)cos(20)-cos(80)sin(20) 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(80)cos(20)-cos(80)sin(20)

sin (8 0^{\circ}) cos (2 0^{\circ}) - cos (8 0^{\circ}) sin (2 0^{\circ})

\frac{3}{2}

Solution steps

sin (8 0^{\circ}) cos (2 0^{\circ}) - cos (8 0^{\circ}) sin (2 0^{\circ})

Rewrite using trig identities:

sin (6 0^{\circ})

= sin (6 0^{\circ})

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

= \frac{3}{2}

cos^{2} (3 1^{\circ}) - sin^{2} (3 1^{\circ})

4 sin (2 (\frac{π}{6}))

arcsin (\frac{sin ( 6 0 ^{\circ} )}{1.5})

sin (\frac{5 π}{36})

sin (2 (4 5^{\circ}))

What is the value of sin(80)cos(20)-cos(80)sin(20) ?
The value of sin(80)cos(20)-cos(80)sin(20) is (sqrt(3))/2