To simplify the expression (104sin17 x cos17) / sin34, we can use the double angle identities for sine and cosine.
First, we'll start by simplifying the expression in the numerator:104sin17 x cos17 = 52 x 2sin17cos17= 52 x sin2(17)
Next, we use the double angle identity for sine:sin2θ = 2sinθcosθ
Therefore, sin2(17) = 2sin17cos17, which simplifies the numerator to:52 x sin2(17) = 52 x sin 34
Now, the expression becomes:(52 x sin 34) / sin34
sin34 / sin34 = 1
Therefore, the final simplified form of the expression is:52
To simplify the expression (104sin17 x cos17) / sin34, we can use the double angle identities for sine and cosine.
First, we'll start by simplifying the expression in the numerator:
104sin17 x cos17 = 52 x 2sin17cos17
= 52 x sin2(17)
Next, we use the double angle identity for sine:
sin2θ = 2sinθcosθ
Therefore, sin2(17) = 2sin17cos17, which simplifies the numerator to:
52 x sin2(17) = 52 x sin 34
Now, the expression becomes:
(52 x sin 34) / sin34
sin34 / sin34 = 1
Therefore, the final simplified form of the expression is:
52