Respuesta :
Answer: 24/25
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Explanation:
If sin(x) = 3/5, then cos(x) = 4/5 through the use of the trig identity
sin^2(x) + cos^2(x) = 1
This is assuming that x is in quadrant Q1.
Plug those values into the identity below and simplify.
sin(2x) = 2*sin(x)*cos(x)
sin(2x) = 2*(3/5)*(4/5)
sin(2x) = 24/25
Answer:
24/25
Step-by-step explanation:
Trig functions relate the angle of a triangle with the sides of that triangle (right triangle)
sin(x)= 3/5 (opposite/ hypotenuse) (25=9-x^2, using pythag. theorem, remaining side= 4)
now, cos(x)= 4/5
now, the double angle identity states:
sin2x= 2sinxcosx
so,
sin2x= 2 * (3/5) * (4/5) =
24/25
