Question

sin 0/(1 + cos )+(1 + cos )/sin 0=2cosec 0​

Answer 1

Answer:

taking lcm of lhs we get

sin^o+(1+cos)^2/1+cos(sino)

sin^o+1+cos^2+2cos/1+cos(sino). ( (a+b)^2 formula )

1+1+2cos/1+cos(sino) as sin^a+cos^a=1

2+2cos/1+cos(sino)

2(1+cos)/1+cos(sino)

2/sino=2×1/sino

2coseco =rhs

as sin is reciprocal of cosec

hence proved