Question

Given that cosθ=7/25 , what is sinθ ?

Answer 1

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