Question

Sin theta +cos theta=under root 3 then prove that tan theta +cos theta =1

Answer 1

Answer:

Step-by-step explanation:

sin theta + cos theta = √3

( sin theta + cos theta )^ 2 = (√3 ) ^2

sin^2 theta + cos^2 theta +2sin theta. cos theta = 3

1 + 2 sin theta . cos theta = 3

2 sin theta . cos theta = 2

sin theta . cos theta = 1

sin theta . cos theta = sin^2 theta + cos^2 theta

( 1 = sin^2 theta + cos^2 theta

sin theta . cos theta / sin theta . cos theta

= sin^2 theta + cos^2 theta / sin theta . cos theta

1 = tan theta + cot theta

Answer 2

Hope this will help you