Question

If secA-tanA=x then prove that 1/x=secA+tanA.

Answer 1

SecA - tanA = x

××××××××××××××××

1/x = 1/(SecA - tanA)

By rationalization,

1/x = (SecA + tanA)/(sec²A - tan²A)

We know, sec²A - tan²A = 1

1/x = secA + tanA

Hence, proved.


I hope this will help you

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Answer 2

This problem can be proved as shown above