Question

cot ( x - pi/2)= -tan x
Can anybody help verify????
Medal...
@phi
@mathstudent55
@mathmale

Answer 1

do you know the formula for the tangent of the difference of two angles ?

Answer 2

\[\cot \left( x-\frac{ \pi }{ 2} \right)=\cot \left\{ -\left( \frac{ \pi }{ 2 } -x\right) \right\}=-\cot \left( \frac{ \pi }{ 2 }-x \right)=-\tan x\]

Answer 3

Is it cot(pi/2-theta)=tan

Answer 4

I didnt know you were able to just multiply by -1

Answer 5

Is that all you have to do?

Answer 6

no i have not multiplied by -1
if you do not follow i do otherwise.
\[\cot \left( -\theta \right) =-\cot \theta \]

Answer 7

ohhhh I get it so you're basically just manipulating the negative sign

Answer 8

Thank you