What is the value of cos(22)cos(23)-sin(22)sin(23) ?

The value of cos(22)cos(23)-sin(22)sin(23) is (sqrt(2))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(22)cos(23)-sin(22)sin(23)

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

\frac{2}{2}

Solution steps

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

Rewrite using trig identities:

cos (4 5^{\circ})

= cos (4 5^{\circ})

Use the following trivial identity:

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

= \frac{2}{2}

3 cos^{2} (π)

(sin (1 5^{\circ}) + sin (7 5^{\circ}))^{6}

sin (\frac{17 π}{12}) + sin (\frac{13 π}{12})

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

cos (- \frac{7 π}{2})

What is the value of cos(22)cos(23)-sin(22)sin(23) ?
The value of cos(22)cos(23)-sin(22)sin(23) is (sqrt(2))/2