SOLUTION: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter      Log On


   

Question 1026449: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
(tan θ − 4)(9 sin^2 θ − 1) = 0

PLEASE HELP
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Understanding Zero Product rule is necessary and knowing the functions on the Unit Circle might be a good idea - or just understand that concept and use a calculator.

tan%28theta%29-4=0
tan%28theta%29=4
theta=arctan(4), theta=76%2Adegrees

OR
9%2Asin%5E2%28theta%29-1=0
9%2Asin%5E2%28theta%29=1
sin%5E2%28theta%29=1%2F9
sin%28theta%29=0%2B-+1%2F3-----which may give four possible answers for this one.
The quadrant 1 value would be about 19.47 degrees.