Question

Verify the identity.

tan(x+(pi/2)) = -cot x

Answer 1

tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2) = cos(x)/-sin(x) = -cot(x)

Answer 2

understand?

Answer 3

sin(x+pi/2) = cos(x) and cos(x+pi/2) = -sin(x)

Answer 4

Somewhat. I understand the identities well, just a bit unsure as to how tan(x+pi/2) can =sin(x+pi/2)/cos(x+pi/2). I know that tan=sin/cos but why did all the ()carry?

Answer 5

tan(anything) = sin(anything)/cos(anything)
so
tan(2) = sin(2)/cos(2)
tan(2x) = sin(2x)/cos(2x)
tan(puppy dog) = sin(puppy dog)/cos(puppy dog)
so
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)

Answer 6

ok, I thought just the theta or x in this case would follow. Thanks so much

Answer 7

nope: everything inside the ()
:)