Question

The value of cos 60°. cos 30° - sin 60°. sin 30°=​

Answer 1

Answer:

answer for the given problem is given

Answer 2

★★ cos 60°. cos 30° - sin 60°. sin 30° = 0 ★★

Step-by-step explanation:

• $\tt\red{ \cos\:60\degree = \cfrac{1}{2} }$
• $\tt\red{ \cos\:30\degree = \cfrac{\sqrt{3}}{2} }$
• $\tt\red{ \sin\:60\degree = \cfrac{\sqrt{3}}{2} }$
• $\tt\red{ \sin\:30\degree = \cfrac{1}{2} }$

Substitute the values.

$\sf \implies \bigg(\cfrac{1}{2} \times \cfrac{\sqrt{3}}{2}\bigg) - \bigg(\cfrac{\sqrt{3}}{2}\times \cfrac{1}{2}\bigg)$

$\sf \implies \cfrac{\sqrt{3}}{4} - \cfrac{\sqrt{3}}{4}$

$\sf \implies 0$

$\underline{\boxed{\rm{\purple{\therefore \cos\:60\degree . \cos\:30\degree - sin\:60\degree . \sin\:30\degree = 0.}}}}\:\orange{\bigstar}$