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

5906 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the area under the curve y=xsin(x), between the limits x=-pi/2 and x=pi/2.


Find the derivative with respect to x and the x-coordinate of the stationary point of: y=(4x^2+1)^5


Find the equation of the line perpendicular to the line y= 3x + 5 that passes through the point (-1,4)


Find the equation of the tangent to the curve y^3 - 4x^2 - 3xy + 25 = 0 at the point (2,-3).


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences