Prove that cos(4x) = 8(cos^4(x))-8(cos^2(x)) + 1

cos(4x) = cos(2(2x)) = 2(cos^2(2x)) - 1 = 2 (cos^2(x) - 1)^2 - 1 = 8(cos^4(x)) - 8(cos^2(x)) + 1

HT
Answered by Harry T. Maths tutor

6771 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How to differentiate the function f(x)= 3x^3 + 2x^-3 - x^(1/2) + 6?


Solving Quadratic Equations


Find the inverse of a 2x2 matrix


The curve C has equation y = 3x^4 – 8x^3 – 3. Find dy/dx.


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