Question 1063075
1) 1 + tan^2 theta = 1 + (sin^2 theta / cos^2 theta) =
:
(cos^2 theta + sin2 theta) / cos^2 theta = 1 / cos^2 theta = sec^2 theta
:
2) 1 + cot^2 theta = 1 + (cos^2 theta / sin^2 theta) =
:
(sin^2 theta + cos^2 theta) / sin^2 theta = 1 / sin^2 theta = csc^2 theta
: