Alevel maths question

Can someone explain how to work this question out with trig identities
1) given that x=sectheta +tantheta
Show that 1/x=sectheta - tantheta

Start with

\frac{1}{sec \ \theta \ + \ tan \ \theta}

then multiply the numerator and the denominator by sec θ - tan θ
and think how you can use a trig identity to get the result you need.

(edited 4 years ago)

Original post by Jessica_rica

Can someone explain how to work this question out with trig identities
1) given that x=sectheta +tantheta
Show that 1/x=sectheta - tantheta

Thank u!!

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