Given that cosθ=7/25 , what is sinθ ?

enter your answer, as a simplified fraction, in the boxes.

sinθ=

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

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92