Question

Verify the identity.

tan(x + (π/2)) = -cot x

Answer 1

Use the Tan (A+B) Formula

Answer 2

it wouldn't be the cofunction identities?

Answer 3

I don't think is one , though I gather it should be, but who knows, if it equates, then yeah it should be :)

Answer 4

well i mean it is a reduction identity, but i dont know how to prove it

Answer 5

well, use the tan(a+b) as FutureMathProfessor suggested

Answer 6

i did and got (tan x + tan (π/2))/ (1 - tanxtanπ/2)

Answer 7

... I expanded by sine/cosine and got ... nothing :/

Answer 8

wait. I just gimme a sec

Answer 9

$$
tan\pmatrix{x+\cfrac{\pi}{2}} \implies \cfrac{sin\pmatrix{x+\cfrac{\pi}{2}}}{cos\pmatrix{x+\cfrac{\pi}{2}}} \implies \cfrac{cos(x)}{-sin(x)}
$$

Answer 10

and those 2 are identities :)

Answer 11

ok thankyou