Question

haw to prove that ??

Answer 1

Take lcm

sin+sincos+tan-tancos/1-cos^2
sin+tan+sincos-sin/sin^2
sincos+tan/sin^2
sincos/sin^2+tan/sin^2
cos/sin+1/sincos
cot+sec.cosec

Answer 2

tan0/1+cos0 + sin0/1-cos0 = cot0 + cosec0.sec0

LHS,

tan0/1+cos0 + sin0/1-cos0

sin0/cos0(1+cos0) + sin0/1-cos0

sin0( 1-cos0)+sin0cos0(1+cos0)/cos0(1-cos0)(1+cos0)

sin0-sin0cos0+sin0cos0+ sin0cos^2 0 / cos0 (1-cos^2 0)


sin0+sin0cos^2 0/ cos0sin^2 0

sin0/cos0sin^2 0 + sin0cos^2 0/cos0sin^20

1/cos0sin0 + cos0/sin0

1/cos0 × 1/sin0 + cos0/sin0

cosec0sec0 + cot0 ....Proved


Hope it helps you✌✌


Thankyou (@_@)

Arya❤