Prove that 2 cot (2x) + tan(x) == cot (x)
(1) Aim to rearrange the right hand side (rhs) to make it look like the left hand side.LHS = 2 cot (2x) + tan (x)(2) Notice that the rhs is only in terms of x, whereas the right has a function involving 2x. Therefore use trig identities to make the RHS in terms of x onlycot (2x) = 1 / tan (2x) = [1 - tan 2 (x)]/[(2 tan (x))]ThereforeLHS = [1 - tan 2 (x)]/[ tan (x)] + tan (x) = 1 / tan(x) = cot (x) = RHS, as given.
JC
Related Maths A Level answers
All answers ▸f(x) = 2x3 – 5x2 + ax + 18 where a is a constant. Given that (x – 3) is a factor of f(x), (a) show that a = – 9 (2) (b) factorise f(x) completely. (4) Given that g(y) = 2(33y ) – 5(32y ) – 9(3y ) + 18 (c) find the values of y that satisfy g(y) = 0, givi
Express X/((X+1)(X+2)) in partial fractions. OCR C4 style question
Solve the differential equation dx/dt=-6*x , given when t=0 x=7.
Given an integral of a function parametrized with respect to an integer index n, prove a given recursive identity and use this to evaluate the integral for a specific value of n.