Question

4.
trigonometry question
solve plz​

Answer 1

Answer:

given 1+sin^2 theta = 3 sin theta cos theta

Step-by-step explanation:

2sin^2 theta + cos^2theta= 3sin theta cos theta

divide with cos theta on both sides

2 tan theta sin theta + cos theta = 3 sin theta

cos theta =sin theta (3-2 tan theta)

cot theta =3-2 tan theta

1/tan theta +2 tan theta =3

(1+2tan^2 theta)/tan theta =3

1 + 2 tan ^2 theta =3 tan theta

2 tan^2 theta- 3 tan theta +1=0

(2 tan theta--1)(tan theta-- 1)=0

therefore tan theta =1/2 (or) 1

2 ta