SOLUTION: If the secant of angle Θ is 13/5, what is the value of the sine of angle Θ? A.) 5/13 B.) 12/13 C.) 13/5 D.) 5/12

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Question 1039871: If the secant of angle Θ is 13/5, what is the value of the sine of angle Θ?
A.) 5/13
B.) 12/13
C.) 13/5
D.) 5/12
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
sec%28x%29=1%2Fcos%28x%29 => cos%28x%29=1%2Fsec%28x%29
cos%28x%29=1%2F%2813%2F5%29=5%2F13
%28sin%28x%29%29%5E2%2B%28cos%28x%29%29%5E2=1=> %28sin%28x%29%29%5E2=1-%28cos%28x%29%29%5E2
%28sin%28x%29%29%5E2=1-%285%2F13%29%5E2=1-25%2F169=%28169-25%29%2F169=144%2F169
sin%28x%29=12%2F13
Answer: B) 12%2F13