SOLUTION: Find a numerical value of one trigonometric function of x if [tan(x)/cot(x)]-[sec(x)/cos(x)]=[2/csc(x)] A. csc(x)=1 B. sin(x)=-1/2 C. csc(x)=-1 D. sin(x)=1/2

Algebra ->  Trigonometry-basics -> SOLUTION: Find a numerical value of one trigonometric function of x if [tan(x)/cot(x)]-[sec(x)/cos(x)]=[2/csc(x)] A. csc(x)=1 B. sin(x)=-1/2 C. csc(x)=-1 D. sin(x)=1/2      Log On


   

Question 897873: Find a numerical value of one trigonometric function of x if [tan(x)/cot(x)]-[sec(x)/cos(x)]=[2/csc(x)]

A. csc(x)=1
B. sin(x)=-1/2
C. csc(x)=-1
D. sin(x)=1/2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find a numerical value of one trigonometric function of x if [tan(x)/cot(x)]-[sec(x)/cos(x)]=[2/csc(x)]
tan%28x%29%2Fcot%28x%29-sec%28x%29%2Fcos%28x%29=2%2Fcsc%28x%29
tan%5E2%28x%29-1%2Fcos%5E2%28x%29=2sin%28x%29
sin%5E2%28x%29%2Fcos%5E2%28x%29-1%2Fcos%5E2%28x%29=2sin%28x%29
%28sin%5E2%28x%29-1%29%2Fcos%5E2%28x%29=2sin%28x%29
%28cos%5E2%28x%29%29%2Fcos%5E2%28x%29=2sin%28x%29
2sin(x)=1
sin(x)=1/2(ans. D)