6 sin 18 cos18 / sin36

Предыдущий
вопрос Следующий
вопрос

First, we can simplify the expression by using the double angle identity for sine:

sin(2θ) = 2sinθcosθ

We can rewrite the expression as:

(2sin18cos18) / sin36

Now, we can use the double angle identity for sine again to simplify sin18cos18:

sin18cos18 = 0.5sin(2*18) = 0.5sin36

Substitute this back into our expression:

(2(0.5sin36)) / sin36
= sin36 / sin36
= 1

Therefore, the simplified expression is 1.