Question

cos60°×cos30°+sin60°×sin30°​

Answer 1

Answer:

Step-by-step explanation:hope this helps!!

Answer 2

Given,

$\boxed{ \bold{ cos 60^{ \circ} \times cos^{\circ} 30 + sin 60^{\circ} \times sin 30^{ \circ}}}$

We can evaluate it by apllying values of

$cos 60^{ \circ} , cos 30^{ \circ} , sin 60^{\circ} \: and \: sin 30^{ \circ}$

Since,

$\boxed{cos 60^{ \circ} = \frac{1}{2}}$

$\boxed{cos 30^{ \circ} = \frac{ \sqrt{3}}{2}}$

$\boxed{ sin 30^{ \circ} = \frac{1}{2}}$

$\boxed{ sin 60^{ \circ} = \frac{ \sqrt{3}}{2}}$

On placing values we get

$\frac{1}{2} \times \frac{\sqrt{3}}{2} +\frac{\sqrt{3}}{2} \times \frac{1}{2}$

$\frac{\sqrt{3}}{4} +\frac{\sqrt{3}}{4}$

$\frac{ 2 \times \sqrt{3}}{4}$

$\frac{ \cancel{2} \times \sqrt{3}}{\cancel{4} }$

$\frac{\sqrt{3}}{2}$

Since,

$\sqrt{3} = 1.732$

$\frac{1.732}{2}$

$\huge \boxed{ \bold{0.866}}$