Answer:
sin(θ) = 24/25
Step-by-step explanation:
We can easily solve this problem by applying the trigonometric identity
sin(x) ^2 + cos(x) ^2 = 1
In this case
sin(θ) ^2 + cos(θ) ^2 = 1
sin(θ) ^2 = 1 - cos(θ) ^2
sin(θ) ^2 = 1 - (7/25) ^2
sin(θ) ^2 = 1 - (49/625)
sin(θ) ^2 = 576/625
sin(θ) = √( 576/625)
sin(θ) = 24/25
