Question

Given the identity tan x = sinx/cosx are the relationship between the sine and cosine of complementary angles what is tan 90 -a

Answer 1

`\tan\left((\pi)/(2) - x\right) = \cot x.`

Proof:

`\tan\left((\pi)/(2) - x \right) = (\sin\left((\pi)/(2) - x \right))/(\cos\left((\pi)/(2) - x \right)) \\ = (\cos x)/(\sin x) \\ = \cot x`