What is the value of sin(35)cos(10)+cos(35)sin(10) ?

The value of sin(35)cos(10)+cos(35)sin(10) is (sqrt(2))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(35)cos(10)+cos(35)sin(10)

sin (3 5^{\circ}) cos (1 0^{\circ}) + cos (3 5^{\circ}) sin (1 0^{\circ})

\frac{2}{2}

Solution steps

sin (3 5^{\circ}) cos (1 0^{\circ}) + cos (3 5^{\circ}) sin (1 0^{\circ})

Rewrite using trig identities:

sin (4 5^{\circ})

= sin (4 5^{\circ})

Use the following trivial identity:

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

= \frac{2}{2}

- sin^{2} (0)

250 cos (3 0^{\circ})

arctan (\frac{36}{28})

2 cos^{2} (\frac{π}{6}) - 1

4 cos (9 0^{\circ})

What is the value of sin(35)cos(10)+cos(35)sin(10) ?
The value of sin(35)cos(10)+cos(35)sin(10) is (sqrt(2))/2