SOLUTION: PLEASE HELP 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

Algebra ->  Trigonometry-basics -> SOLUTION: PLEASE HELP 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       Log On


   

Question 1026450: PLEASE HELP
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.)
sin^2 θ − 7 sin θ − 8 = 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
This is a quadratic equation.
Let u=sin%28theta%29
u%5E2-7u-8=0
%28u-8%29%28u%2B1%29=0
Two "u" solutions:
u-8=0
u=8
and
u%2B1=0
u=-1
Back substituting,
sin%28theta%29=8
There is no theta solution here since sin can never exceed 1.
.
.
sin%28theta%29=-1
theta=%283%2F2%29pi%2B2pi%2Ak where k is any integer.