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Evgesh-ka [11]
3 years ago
8

Given that cosθ=7/25 , what is sinθ ?

Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0

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

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