What is the value of cos(75)sin(15)+sin(75)cos(15) ?

The value of cos(75)sin(15)+sin(75)cos(15) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(75)sin(15)+sin(75)cos(15)

cos (7 5^{\circ}) sin (1 5^{\circ}) + sin (7 5^{\circ}) cos (1 5^{\circ})

1

Solution steps

cos (7 5^{\circ}) sin (1 5^{\circ}) + sin (7 5^{\circ}) cos (1 5^{\circ})

Rewrite as

= sin (7 5^{\circ}) cos (1 5^{\circ}) + cos (7 5^{\circ}) sin (1 5^{\circ})

Rewrite using trig identities:

sin (9 0^{\circ})

= sin (9 0^{\circ})

Use the following trivial identity:

sin (9 0^{\circ}) = 1

= 1

arccos (sin (arctan (- 1)))

sin (\frac{7 π}{18})

sec (3 8^{\circ})

cos (5 \cdot π)

\frac{cos ( π )}{1}

What is the value of cos(75)sin(15)+sin(75)cos(15) ?
The value of cos(75)sin(15)+sin(75)cos(15) is 1