Question

can someone check that the math is correct for this? Medal and fan!

Answer 1

the question was to verify algebraically

Answer 2

from 2nd last how you got the last step is unclear otherwise rest are all corect

Answer 3

i just thought it maybe possible to just take the reciprocal but i figured it was wrong haha

Answer 4

Alternatively :
given sinx/(1+cosx)
= sinx (1- cosx) / ( (1+cosx) * (1- cosx) )
= sinx (1-cosx)/( 1 - cos^2 x )
= sinx (1-cosx)/sin^2 x
= (1- cos x )/sin x
= 1/sinx - cosx/sinx
=1/sinx - cotx
=1/sinx - 1/tanx

Answer 5

so I should try to make sinx/1+cosx equal to 1/sinx-1/tanx so try to reduce the opposite side?

Answer 6

you should generally reduce the left side to the right side...

Answer 7

okay thank you!

Answer 8

yw