Question

If tan theta= -0.87, find cot

Answer 1

Explanation:

`cot((\pi )/(2) -\theta)=tan \theta=-0.87`

or second method

`\cot((\pi )/(2) -\theta)=(1)/(\tan((\pi )/(2) -\theta)) =(1)/((\tan(\pi )/(2) -\tan \theta)/(1+\tan (\pi )/(2 ) \tan \theta) ) =(1+\tan(\pi )/(2) \tan \theta)/(\tan(\pi )/(2) -\tan \theta) \\(divide~the~numerator~and~denominator~by~\tan(\pi )/(2) )`

`=(\cot(\pi )/(2) +\tan\theta)/(1-\cot(\pi )/(2) \tan\theta) \\=(0+\tan \theta )/(1-0*\tan\theta) \\=\tan \theta\\=-0.87`