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December 7, 2013

# Homework Help: maths

Posted by sumayya on Monday, June 29, 2009 at 2:31pm.

prove that
_______1______ - ___1___ =__1___
sec x-tan x cos x cos x
- _______1______
sec x + tan x

• maths - MathMate, Monday, June 29, 2009 at 6:32pm

I will rewrite the question as:

1/(sec(x)-tan(x)) - 1/cos(x) = 1/(cos(x) - 1/(sec(x)+tan(x))

transpose terms to get:
1/(sec(x)-tan(x)) + 1/(sec(x)+tan(x)) = 2/cos(x)

Add the two fractions on the left and simplify using sec2(x)=1+tan2(x) on the left-hand side to get 2sec(x)=2/cos(x).

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