SOLUTION: solve over the interval (0-360 degrees): 2sin theta +3=-csc theta THANKS

Question 732723: solve over the interval (0-360 degrees):
2sin theta +3=-csc theta
THANKS
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve over the interval (0-360 degrees):
2sin theta +3=-csc theta
-------
3sin(x)+ csc(x) = -3
----
Mutiply thru by sin to get:
3sin^2(x) + 3sin(x) + -1 = 0
--------------------
sin(x) = [9+-sqrt(9-4*3*-1)]/6
----
sin(x) = [9+-sqrt(21)]/6
----
Usable solution:
-----
sin(x) = 0.7362
---------
x = 55.84 degrees or x = 180-55.84 = 124.16 Degrees
---------
Cheers,
Stan H.
=========

RELATED QUESTIONS
solve the equation for solutions over the interval [0 degrees, 360 degrees). 2 sin... (answered by lwsshak3)

solve for all values of theta in the interval 0 degrees less than theta less than 360... (answered by lwsshak3)

Solve algebraically for all values of theta in the interval 0 degrees is < or equal to... (answered by lwsshak3)

Solve for theta on the interval 0 <= theta <= 2pi. 2sin(theta)cos(theta) - cos(theta)... (answered by Fombitz)

Solve each equation for solutions over the interval [0 degrees, 360 degrees) . Give... (answered by lwsshak3)

Solve:2sin(theta-20 degrees)=1 for 0 degrees smaller than theta smaller than 360... (answered by ikleyn)

find all solutions in the following interval 0 degrees (less than or equal to) theta... (answered by Fombitz)

Find exact solutions over the indicated intervals (x real and theta in degrees)... (answered by lwsshak3)

Solve the equation for exact solutions over the interval (0 degrees, 360 degrees). Give... (answered by lwsshak3)