Answers>Maths>A Level>Article

Show that Sec2A - Tan2A = (CosA-SinA)/(CosA+SinA)

Sec2A - Tan2A Definition of Sec and Tan = 1/Cos2A - Sin2A/Cos2A Combining Fractions = (1 - Sin2A) / (Cos2A) Apply Double Angle Formula = (1 - 2SinACosA) / (Cos2A - Sin2A) Make use of 1 = Cos2x + Sin2x and Difference of two squares = (Cos2A + Sin2A - 2SinACosA) / (CosA + SinA)(CosA - SinA) Factorise the numerator = (CosA - SinA)2 / (CosA + SinA)(CosA - SinA) Divide out by (CosA - SinA) = (CosA - SinA) / (CosA + SinA)

JC

Related Maths A Level answers

All answers ▸

How do I integrate fractions of quadratic or cubic terms?

Afrose A. avatarAnswered by Afrose A.

Integrating (e^x)sin(x)

Arif U. avatarAnswered by Arif U.

Calculate the value of the definite integral (x^3 + 3x + 2) with limits x=2 and x=1

avatarAnswered by

How do I integrate 2^x?

Jordan H. avatarAnswered by Jordan H.