Answer:
Step-by-step explanation:
Given Tanx = 7/2
Since tanx = opp/adj
Opposite = 7
Adjacent = 2
Hyp = √7²+2²
hyp = √53
cos x = adj/hyp
cosx = 2/√53
sinx = opp/hyp
sinx = 7/√53
Sin(2x) = sinxcosx + cosx sinx
sin(2x) = 2sin(x)cos(x)
Substitute
sin2x = 2(7/√53)(2/√53)
sin(2x) = 28/53
Hence the value of sin(2x) is 28/53
