Question

Question 3 here http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20(9709)/9709_s07_qp_1.pdf

Answer 1

@ameeron try to put tan x in terms of sin x and cos x
and use identity sin^2 x +cos^2 x=1 for conversion of cos into sin after simplifying :)

Answer 2

Please show me how. I'd be very very greatful to u

Answer 3

@Aperogalics

Answer 4

1+(tan(x))^2 = (sec(x))^2...
use this and the fact that (sec(x))^2 = 1/(cos(x))^2 ...
hope this helps :)

Answer 5

let first take denominator 1+tan^2 x
=1+(sin^2 x/cos^2 x)=(cos^2 x+sin^2 x)/cos^2 x
=1/cos^2 x
now numerator
1-tan^2 x=(cos^2 x - sin^2 x)/cos^2 x
so
dividing them we get
=cos^2 x- sin^2 x=1-2 sin^2 x
using cos^2 x+sin^2 x =1:)

Answer 6

@ameeron :)

Answer 7

THANKS ALOTTTTT