यदि `tan theta + cot theta = 2` तो `theta`का व्यापक मान ज्ञात कीजिए ।

Explanation

दिया है - `tan theta+cot theta = 2`
`rArr (sin theta)/(cos theta)+(cos theta)/(sin theta) = 2`
`rArr (sin^(2) theta +cos^(2) theta)/(sin theta cos theta) = 2`
या `1/(sin theta cos theta) = 2`
`rArr 2sin theta cos theta =1`
`rArr sin 2 theta =1 = sin . pi/2`
`:. 2 theta = n pi + (-1)^(n) pi/2`
`rArr theta = (n pi)/2 + (-1)^(n) pi/4`