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

Related Maths A Level answers

All answers ▸

Find the x and y coordinates of the turning points of the curve 'y = x^3 - 3x^2 +4'. Identify each turning point as either a maximum or a minimum.


Express (9x^2 + 43x + 8)/(3+x)(1-x)(2x+1) in partial fractions.


Differentiate f(x)=(x+sin(2x))^4


Integrate dy/dx = 2x/(x^2-4)