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

6356 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Why does differentiation work like it does.


Maths C1 2017 1. Find INT{2x^(5) + 1/4x^(3) -5}


express 9^(3x+1) in the form 3^(ax+b)


How to express (4x)/(x^2-9)-2/(x+3)as a single fraction in its simplest form.


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:

© 2025 by IXL Learning