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In a particular circuit the current, I amperes, is given by:

I=4sinθ - 3cosθ θ>0

where θ is an angle related to the voltage.

Given that I=R x sin(θ-a), where R>0 and 0<=a<360degrees,

a) find the value of R, and the value of a to 1 decimal place.

b) Hence solve the equation 4sinθ - 3cosθ = 3 to find the values of θ between 0 and 360degrees.

c) Write down the greatest value for I.

d) Find the value of θ between 0 and 360degrees at which the greatest value of I occurs.

I think if someone could show me the steps to answering part a) I could be able to do the rest myself.

Thanks