Question

If tan theeta = cot(60° + theeta) find.......theeta

Answer 1

Answer:cot (90-theta )=tan theta then according to question cot(90- theta) =cot(60+theta ) implies 90-theta =60+theta implies theta =15 degrees

Step-by-step explanation:

Answer 2

$\textbf{ solution–}$

We have ,

$tan\theta = cot(60 + \theta) \\ cot(90 - \theta) = cot(60 + \theta)$

from

tan∅ = cot(90–∅)


$90 - \theta = 60 + \theta \\ \theta + \theta = 90 - 60 \\ \: 2\theta = 30 \\ \theta = \frac{30}{2} \\ \theta = 15$

$\textbf{ So, the value of \theta is 15}$