Question

Solve the equation for solutions over the interval ​[0°​, 360°​). 7tanθ−7/3cotθ=0

Answer 1

Explanation:

`7\tan \theta-(7)/(3)\cot \theta=0\\\tan \theta=(1)/(3) \cot \theta\\\tan^2\theta=(1)/(3)\\\tan \theta=\pm (1)/(√(3))\\when ~\tan \theta=(1)/(√(3))=tan 30,tan (180+30)\\\theta=30^\circ ,210^\circ\\when~ \tan \theta=-(1)/(√(3))=\tan (180-30),tan(360-30)\\\theta=150^\circ,330^\circ`

solution set is {30,150,210,330}