SOLUTION: Find, to the nearest tenth of a degree, all values of theta that satisfy the equation: 5 sine squared of theta-9 cosine of theta-3=0

Question 945979: Find, to the nearest tenth of a degree, all values of theta that satisfy the equation:
5 sine squared of theta-9 cosine of theta-3=0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find, to the nearest tenth of a degree, all values of theta that satisfy the equation:
5 sine squared of theta-9 cosine of theta-3=0
5sin^2(x)-9cosx-3=0
5(1-cos^2(x))-9cosx-3=0
5-5cos^2(x)-9cosx-3=0
5cos^2(x)+9cosx-2=0
(5cosx-1)(cosx+2)=0
..
cosx=2=0
cosx=-2
no solution: (-1�≤ cosx ≤ 1)
or
5cosx-1=0
cosx=1/5
x=78.46˚+360˚n, 281.54˚+360˚n, n=any integer
RELATED QUESTIONS
7cos theta + 1 = 6sec theta Find, to the nearest degree, all values of theta in the... (answered by lwsshak3)

Find to the nearest degree, all values of theta in the interval 0 degrees is < or equal... (answered by lwsshak3)

4cot(theta)-5=0 find theta to the nearest tenth of a... (answered by amarjeeth123)

Find to the nearest degree all values of theta in the interval 0 degrees is less than or... (answered by stanbon)

If cosine theta equals -5/9 and sine theta > 0, find the exact value of tan... (answered by stanbon)

Find, to the nearest degree, all positive values of theta less than 360� that satisfy the (answered by Alan3354)

Use identities to find values of the sine and cosine functions for each angle measure.... (answered by lwsshak3)

Find all values of theta in the interval 0�< theta <360� that satisfy the equation 2(sin... (answered by robertb)

Solve the equation: {{{6sin^2(theta) + 5 sin (theta) = 6}}} Find all solutions on... (answered by Fombitz)