Question

prove that : 1+cos a/sein a, + sein a /1+cos a =2 cosee a​

Answer 1

Step-by-step explanation:

1+cosA/sinA + sinA / 1+cosA =2 cosecA

L.H.S = 1+cosA/sinA + sinA/1+cosA

= (1+cos)(1+cos) sin(sin)

sin(1+cos) + (1+cos)(sin)

= 1+2cos+1 / sin+sin.cos + sin2/sin+sin.cos

= 2cos + 2 + 2sin/ sin+sin.cos

= 2(cos+sin) / sin+sin.cos

= 2 / sin

= 2cosec

LH.S = 2 cosec

R.H.S = 2 cosec

L.H.S = R.H.S

1+cos/sin + sin/1+cos = 2cosec

Hence Proved