Question

Sin theta * sqrt(1 + cot^2 theta) + cos theta * sqrt(1 + tan^2 theta) = 2
prove that ​

Answer 1

2

Explanation:

O= theta so you don't get confused

LHS = sinO*sqrt(1+cot²O)+cosO*sqrt(1+tan²O)

=sinO*sqrt(cosec²O)+cosO*sqrt(sec²O)

=sinO*cosecO+cosO*secO

=1+1

=2