Question

Cot theta ×cot 2theta+cot 2theta×cot 3theta+2=cot theta(cot theta-cot 3theta)​

Answer 1

Step-by-step explanation:

Cos^2theta/cot^2theta-cos^2theta=3 or, sin^2theta-cos^2theta=3....(1) (because cos^2theta/cot^2theta =sin^2 theta). In the rule of trigonometry sin^2theta+cos^2theta=1 ...(2) we get 1 and 2 .sin^2theta-cos^2theta+sin^2theta+cos^2theta=3+1 or, 2sin^2theta =4 so sin^2theta=2 and cos^2theta=1 ( 1-2) and cot^2 theta= cos^2theta/sin^2theta=1/2

Answer 2

refer to the attachment please