Question

If sec theta+tan theta=5 find the quadrant in which theta lies,find sin theta.

Answer 1

Answer:

Step-by-step explanation:

Given  

We have sec theta + tan theta = 5

                 1/cos theta + sin theta /cos theta = 5

               1 + sin theta / cos theta = 5

        Squaring both sides we get

        (1 + sin theta)^2/ cos^2 theta = 25

      (1 + sin theta)(1 + sin theta) / (1 – sin^2 theta) = 25

       (1 + sin theta)(1 + sin theta) /(1 + sin theta)(1 – sin theta) = 25

       1 + sin theta / 1 – sin theta = 25

        1 + sin theta = 25(1 – sin theta)

        1 + sin theta = 25 – 25 sin theta

         26 sin theta = 24

         Sin theta = 24/26

         Sin theta = 12/13

      So sin theta lies in I quadrant

Answer 2

Answer:

sin theta lies in 1st q'. hope u understand.. nd i guess it helped u