Question

I need help with verifying the trig equation please!
1 + tan/ 1 + cot = tan

Answer 1

You have

1+tan

over

1+cot

all on the left side

Answer 2

you can rewrite cot as 1/tan

Answer 3

to get this

Answer 4

1 + tan
----------
1 + 1/tan

Answer 5

then you can multiply the whole fraction by tan/tan (which is essentially 1) and distribute only through the denominator to get this

tan(1 + tan)
---------------
tan + 1

Answer 6

see what to do next?

Answer 7

next I would cancel out 1 + tan right?

Answer 8

exactly

Answer 9

the 1+tan is the same as tan+1

Answer 10

so they cancel

Answer 11

okay I understand this problem, thank you!

Answer 12

this is all the left side, the right side stays as tan

Answer 13

yw