Find the general solutions of the following equation:`t a n ptheta=cot qtheta`

Explanation

Given,`tanptheta=cotqtheta`

`tanptheta=1/(tanqtheta)​`

`tanptheta⋅tanqtheta=1`

=`1−tanptheta⋅tanqtheta=0`

Now,

`tan(ptheta+qtheta)=(tanptheta+tanqtheta​)/(1−tanptheta⋅tanqtheta)`

⇒`tan(ptheta+qtheta)=1/0​=N.D`

⇒`(p+q)theta=(2n+1)π/2​;n∈Z`

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