Question

(4) Prove that
1
__________ = sec theta + tan theta

sec theta - tan theta ​

Answer 1

Step-by-step explanation:

Multiplying both numerator and denominator

with sec∅+tan∅

= 1 × sec∅+tan∅

sec∅-tan∅ sec∅+tan∅

= sec∅+tan∅

sec²∅-tan²∅

= sec∅+tan∅

1 (sec²∅-tan²∅=1)

= R.H.S