What is the value of sin(76)cos(31)-cos(76)sin(31) ?

The value of sin(76)cos(31)-cos(76)sin(31) 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(76)cos(31)-cos(76)sin(31)

sin (7 6^{\circ}) cos (3 1^{\circ}) - cos (7 6^{\circ}) sin (3 1^{\circ})

\frac{2}{2}

Solution steps

sin (7 6^{\circ}) cos (3 1^{\circ}) - cos (7 6^{\circ}) sin (3 1^{\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}

- 8 sec^{2} (0) tan (0) + 24 sec^{4} (0) tan (0)

csc (91 5^{\circ})

arctan (21)

arctan (27)

arctan (1)

What is the value of sin(76)cos(31)-cos(76)sin(31) ?
The value of sin(76)cos(31)-cos(76)sin(31) is (sqrt(2))/2