Math, asked by kinshu47, 4 months ago

prove that:1+cosA÷sin A+SinA÷1+cosA=2 cosecA

Answers

Answered by shaswatk11

0

Step-by-step explanation:

L.H.S. =

sinA

1+cosA

+

1+cosA

sinA

=

sinA(1+cosA)

(1+cosA)(1+cosA)+sinAsinA

=

(1+cosA)sinA

(1+cosA)

2

+sin

2

A

=

(1+cosA)sinA

1+cos

2

A+2cosA+sin

2

A

=

(1+cosA)sinA

1+2cosA+1

=

(1+cosA)sinA

2+2cosA

=

(1+cosA)sinA

2(1+cosA)

=2

sinA

1

=2cosecA

=R.H.S

Hence proved

Answered by nitu63718

4

Answer:

hence proved.........

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