how to solve this trigonometric equation?

how to solve the equation

tan(2*x - 30*pi/180)==(100-(15*sin(x)))/(100-(15*cos(x)))

for the value of x ?

[Gurchetan Singh]

the answer is 0 for x=45

firstly put value of x and then write the same equation in the editor window correctly

and save the editor comand and then run th program and you will be able to get your answer

attaching the screen shot of the same below

Answer 1

[Walter Roberson]

syms x
sol = solve( tan(2*x - 30*pi/180)==(100-(15*sin(x)))/(100-(15*cos(x))), x );

Note: there are real-valued solutions for every period, none of which are integers. The solutions repeat every 2 Pi