How do you solve $4tantheta+2=2tantheta$ in the interval $0<=x<=2pi$ ?

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Answer 1 · 2016-08-18T14:41:53

$theta=(3pi)/4$

$theta=(7pi)/4$

$4tan theta+2=2tan theta$

or

$4tantheta-2tan theta=-2$

or

$2tan theta=-2$

or

$tan theta=-1$

or

$tan theta=tan ((3pi)/4)$

or

$theta=(3pi)/4$ -------------------------Ans $1$

Similarly for other values

$tan theta=-1$

or

$tan theta= tan((7pi)/4)$

or

$theta=(7pi)/4$ ---------------------------Ans $2$

How do you solve 4tantheta+2=2tantheta4tantheta+2=2tantheta in the interval 0<=x<=2pi0<=x<=2pi?