Question

Find+value+of+cos+0°×cos30°×cos45°×cos30°

Answer 1

cos 0 ×cos 30×cos45×cos30

=1×√3÷2×1÷√2×√3÷2

=(√3)^2÷√8

=3÷2√2

Answer 2

hi friend,

your question :

Find the value of cos 0°×cos30°×cos45°×cos30°.

Answer with explanation :

we know that cos 0 degree

= 1

cos 30 degree

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

cos 45 degree

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

so, cos 0°×cos30°×cos45°×cos30°

$= 1 \times \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{2} }{2} \times \frac{ \sqrt{3} }{2} \\ =\frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{2} }{2} \\ = {( \frac{ \sqrt{3} }{2})}^{2} \times \frac{ \sqrt{2} }{2} \\ = \frac{{( \sqrt{3)} }^{2} }{ {2}^{2} } \times \frac{ \sqrt{2} }{2} \\ = \frac{3}{4} \times \frac{ \sqrt{2} }{2} \\ = \frac{3 \sqrt{2} }{8}$

hence,

ANSWER:

$\frac{3 \sqrt{2} }{8}$

I hope it will helps you!

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