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)) / sin3= sin36 / sin3= 1
Therefore, the simplified expression is 1.
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)) / sin3
= sin36 / sin3
= 1
Therefore, the simplified expression is 1.