Question

verify the identity. cot (x-π/2) = -tan x

Answer 1

$$\bf \large {
cot\left(x - \frac{\pi}{2}\right) \implies \cfrac{cos\left(x - \frac{\pi}{2}\right)}{sin\left(x - \frac{\pi}{2}\right)}\\
\implies \cfrac{cos(x)cos\left(\frac{\pi}{2}\right)+sin(x)sin\left(\frac{\pi}{2}\right)}
{sin(x)cos\left(\frac{\pi}{2}\right)-cos(x)sin\left(\frac{\pi}{2}\right)}
}
$$

Answer 2

now, what's \(\bf cos\left(\frac{\pi}{2}\right) \) ?
and what's \(\bf sin\left(\frac{\pi}{2}\right) \) ?

Answer 3

thank you so much! im so sorry for the long pause

Answer 4

yw