Can anyone please help with following
i) Find R and ? such that
4sintheta + 3costheta = Rsin( ?+ theta) ,
where 0degrees is less than or equal to ? which is less than or equal to 360degrees
I've equated the coefficients Rcos?=4 Rsin?=3
Squared them and added them together giving R and then solved for ?
R2cos2? + R2sin2? = 42 + 32
R2(cos2? + sin2?) = 25
R = 5
ii) Finding all the solutions to the equation
tanx = 1.6
where -360degrees is less than or equal to x which is less than or equal to 360degrees
i) Find R and ? such that
4sintheta + 3costheta = Rsin( ?+ theta) ,
where 0degrees is less than or equal to ? which is less than or equal to 360degrees
I've equated the coefficients Rcos?=4 Rsin?=3
Squared them and added them together giving R and then solved for ?
R2cos2? + R2sin2? = 42 + 32
R2(cos2? + sin2?) = 25
R = 5
ii) Finding all the solutions to the equation
tanx = 1.6
where -360degrees is less than or equal to x which is less than or equal to 360degrees