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 1026455: 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.)
3 sin^2 θ + 16 sin θ − 35 = 0
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+=+sin+%28theta%29+
+3x%5E2+%2B+16x+-35+=+0+
+%28+3x+-+5+%29%2A%28+x+%2B+7+%29+=+0+
( you can use quadratic formula, I
just figured it out trial and error )
+x+=+5%2F3+
+x+=+-7+
-------------
Any sine function, all by itself, can
only vary from +%2B1+ to +-1+,
so +-1+%3C=+x++%3C=+1+, and there is
no solution