Question

Tan theta =cos 11°+sin11°÷cos 11°-sin11° and theta is in the third quadrant,find theeta

Answer 1

Answer:

dividing numerator denominator by cos 11°

$\tan( \alpha ) = \frac{1 + \tan(11) }{1 - \tan(11) } = \frac{ \tan(225) + \tan(11) }{1 - \tan(225) \tan(11) } = \tan(225 + 11)$

$\tan( \alpha ) = \tan(236)$

$\alpha = 236$