Math, asked by yashakhare46p32f3n, 1 year ago

1+sinA/cosA+cosA/1+sinA=2secA=2√1+tan^2A

Answers

Answered by MANKOTIA
1
(1+sinA)/COSA +cosA/(1+sinA)
=[(1+sinA)^2+COS^2A]/COS A(1+sinA)
=(1+2SinA+sin^2A+cos^2A)/cosA(1+sinA)
=(1+2SinA+1)/COS A(1+sinA)
=(2+2sinA)/COS A(1+sinA)
=2(1+sinA)/cosA(1+sinA)
=2/cosA
=2secA
=2√1+tan^2A
RHS.

yashakhare46p32f3n: can you please explain last two lines from 2secA
MANKOTIA: i took common 2 then it will remain 1+sinA. in denominator also 1+sinA. cancelled 1+sinA.
MANKOTIA: 1/cosA =secA
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