Prove that sin(x)^2 - 5cos(x)^2 = 6sin(x)^2 - 5

5 = 5(cos(x)^2 + sin(x)^2) = 5cos(x)^2 + 5sin(x)^2=> 5 - 5cos(x)^2 = 5sin(x)^2=> sin(x)^2 + 5 - 5cos(x)^2 = 6sin(x)^2=> sin(x)^2 - 5cos(x)^2 = 6sin(x)^2 - 5

NT

Related Further Mathematics GCSE answers

All answers ▸

write showing all working the following algebraic expression as a single fraction in its simplest form: 4-[(x+3)/ ((x^2 +5x +6)/(x-2))]


Using differentiation, show that f(x) = 2x^3 - 12x^2 + 25x - 11 is an increasing function.


What is differentiation used for?


The curve C is given by the equation x^4 + x^2y + y^2 = 13. Find the value of dy/dx at the point (-1,3). (A-level)