Solving Trigonometric Equations: How to Find the Angle in @=33.40 Degrees

[Jac8897]

solving an equation??

Homework Statement

how to get from here
sin@-.3cos@=.3
to
@=33.40 degrees

Homework Equations

The Attempt at a Solution

I try every thing teacher said to put it in the calculator and find the where it intersects x-axis but I get @=30 degrees

 

[El_Nino]

this is pretty simple problem, I suggest you to study the sine and cosine functions well, and you will find that sin(pi) = 0 and cos(pi)=-1

Then sin(pi)-0.3*cos(pi)=0.3

0 + 0.3 = 0.3

 

[tiny-tim]

Hi Jac8897!

(have a theta: θ and a phi: φ )

The trick is to write the LHS in the form sinθcosφ - cosθsinφ …

in this case, put .3 = sinφ/cosφ