# Math Help - trig equation help leas

1. ## trig equation help leas

Solve equation for x 0 - 360 (degrees)

4sinx + 3cosx = 6

2. Originally Posted by gracey
Solve equation for x 0 - 360 (degrees)

4sinx + 3cosx = 6
write $4 \sin x = 6 - 3 \cos x$

now square both sides. what do you get? can you continue? think quadratic equation (note you will need to use a famous trig identity before you can get it into quadratic form. try to change all the sines into cosines)

3. There are no values of x that satisfy the equation.

You can use Rcos(x-Q)=4sinx + 3cosx,

RcosxcosQ+RsinxsinQ = 4sinx + 3cosx

RcosQ=3
RsinQ=4

tanQ=4/3
R=5

5cos(x-Q) =6 ... (1)

Equation 1 does not have have solutions.