Question

Sin theta + cos theta = √2, then evualate tan theta + cot th

Answer 1

sin theta + cos theta = √2
squering the both side
(sin theta + cos theta)² = (√2)²
sin²theta + cos² theta + 2sin theta×cos theta = 2
1+2sin theta×cos theta = 2
2sin theta×cos theta = 1
sin2theta = 1
sin2 theta = sin90
2 theta = 90
theta = 45
than
tan45+cot45
1+1
2