SOLUTION: Find the exact value of sin(theta) when tan(theta)= -1/ (2 sqrt 2) and cos(theta)> 0

Algebra ->  Trigonometry-basics -> SOLUTION: Find the exact value of sin(theta) when tan(theta)= -1/ (2 sqrt 2) and cos(theta)> 0      Log On


   

Question 892965: Find the exact value of sin(theta) when tan(theta)= -1/ (2 sqrt 2) and cos(theta)> 0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the exact value of sin(theta) when tan(theta)= -1/ (2 sqrt 2) and cos(theta)> 0
tan+%28theta%29=-1%2F%282sqrt%282%29%29,cos%28theta%29%3E0
reference angle (theta) in quadrant IV
hypotenuse of reference right triangle=√(1^2+(2√2)^2)=√(1+8)=√9=3
+sin%28theta%29=-1%2F3