If tan(x)=3/5 and sin(x)>0, what is sin(2x)?

With STEPS PLEASE AND NO TROLLING.

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sin2x =

Step-by-step explanation:

Given

tanx = =

This is a right triangle with legs 3 and 5

Let the hypotenuse be h , then using Pythagoras' identity

h² = 3² + 5² = 9 + 25 = 34 ( take the square root of both sides )

h =

Thus

sinx = =

cosx = =

Hence

sin2x = 2sinxcosx = 2 × × = =

it would be 6xy and -16xy.