A series​

RLC circuit is driven at a frequency
of 550 Hz. The phase angle between the ap-
plied voltage and current is determined from
an oscilloscope measurement to be 75◦.
If the total resistance is known to be 40
and the inductance is 0.15 H, what is the
capacitance of the circuit?​

Answer in units of μF.

I really dont need much help, I was just wondering if I can use the 75 degrees as it is as the phase angle. Or do I have to convert it to radians, or something else?

And I use this equation, right?

tan∫=(ωL-(ωC)^-1)/R

 

Yes just take the tan(75°) value to give you the total reactance to resistance ratio - as you have shown.