prove that : cos A/1+sin A+tan A=sec A
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Answer:
ANSWER
To prove:- cosA/ 1+sinA +tanA=secA
Proof:-
Taking l.H.S., we have
cosA/1+sinA +tanA
= cosA/1+sinA +sinA/cosA
= cos^2A+sinA(1+sinA)/cosA(1+sinA)
= cos^2 A+sin^2 A+sinA/cosA+sinA
= 1+sinA/cosA(1+sinA) (∵sin^2 A+cos^2 A=1)
= 1/cosA
=secA
= R.H.S.
Hence proved.
Step-by-step explanation:
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