Question

1
(9) If tano + 1 / tano = 2, then show that tan²O + 1 + tan²o = 2​

Answer 1

Tan theta + 1/Tan theta = 2

SOBS :- squaring on both sides

(Tan theta + 1/Tan theta )^2 = 2^2 Tan theta ^2 + 1/ Tan^2 theta + 2(Tan theta × 1/tan theta) = 4

Tan^2 theta + 1/tan^2 theta +2 =4

Tan^2 theta + 1/Tan^2 theta = 2