Express 4sinx-cos(pi/2 - x) as a single trignometric function

The cos(pi/2-x) is equivalent to sinx because the cosx graph is just the sinx graph but shifted to the left by a phase difference of pi/2 radians, and cos(pi/2 - x) is also shifting the cosx graph to the right by pi/2 radians which just transforms it into a sinx graph. We can rewrite this as 4sinx-sinx and this therefore just becomes 3sinx.

RD

Related Maths A Level answers

All answers ▸

A curve has parametric equations x = 1- cos(t), y = sin(t)sin(2t). Find dy/dx.


Differentiate y = 7(x)^2 + cos(x)sin(x)


Using partial fractions, find f(x) if f'(x)=5/(2x-1)(x-3)


differentiate parametrically y=3t+4 and x=2t^2 +3t-5