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
Answered by Rabia D. Maths tutor

6927 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

why is sin(x) squared plus cos(x) squared 1?


What are complex and imaginary numbers and how are they different from normal (real) numbers?


If the functions f and g are defined: f: x--> x/5 + 4 g : x--> 30x + 10. what is x, if fg(x) = x. ?? What would fgf(x) = x^2 be??


Differentiate x^2+4x+9.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning