Dear friends, Please read our latest blog post for an important announcement about the website. ❤, The Socratic Team

# How do you find the exact value of sin60°cos30° + sin30°cos60°?

Then teach the underlying concepts
Don't copy without citing sources
preview
?

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

136
Apr 26, 2015

${30}^{o} \text{ and " 60^o "are angles of one of the standard triangles}$

$\sin \left({30}^{o}\right) = \frac{1}{2}$

$\cos \left({30}^{o}\right) = \frac{\sqrt{3}}{2}$

$\sin \left({60}^{o}\right) = \frac{\sqrt{3}}{2}$

$\cos \left({60}^{o}\right) = \frac{1}{2}$

So
$\sin \left({60}^{o}\right) \cdot \cos \left({30}^{o}\right) + \sin \left({30}^{o}\right) \cdot \cos \left({60}^{o}\right)$

$= \left(\frac{\sqrt{3}}{2}\right) \left(\frac{\sqrt{3}}{2}\right) + \left(\frac{1}{2}\right) \left(\frac{1}{2}\right) = \frac{3}{4} + \frac{1}{4}$

$= 1$

• 41 minutes ago
• 42 minutes ago
• 45 minutes ago
• 45 minutes ago
• A minute ago
• 5 minutes ago
• 13 minutes ago
• 34 minutes ago
• 35 minutes ago
• 38 minutes ago
• 41 minutes ago
• 42 minutes ago
• 45 minutes ago
• 45 minutes ago
• Bio
• Phy
• Org
• Ear
• Ana
• Ast
• Ast
• Psy
• Tri
• U.S
• Cal
• Eng
• Env
• Pre
• Sta
• Che
• Soc
• Geo
• Wor
• Alg
• Pre