Question

sinX/cosX +cosX/1+sinX It has to be simplified in simplest terms. My teacher said that the answer will be secX.

Answer 1

by taking LCM we get
sinx(1+sinx)+cos^2x / cosx(1+sin x)

Answer 2

further simplification fives us
sinx +1 / cosx( 1+sin x)

Answer 3

hence u got what ur teacher told

Answer 4

got it?

Answer 5

Yeah, I understand it now

Answer 6

Thanks!

Answer 7

welcome

Answer 8

k

Answer 9

after taking the lcm
we get
sinx+sin^2x+cos^2x / cosx(1+sin x)

where sin^2x+cos^2x =1


then we get
sinx +1 / cosx( 1+sin x)
by cancellation we get

1/ cos x


which is secx

Answer 10

Is there a way to get the answer without taking the LCM?

Answer 11

what is the problem with lcm

Answer 12

My teacher is very picky with methods we choose to take and also I don't understand how taking the lcm gives you sinx+sin^2x+cos^2x / cosx(1+sin x)