Question

sec teta + tan teta = 5 then the value of
cos teta =​

Answer 1

Answer:

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

Step-by-step explanation:

Step-by-step explanation:

Sec theta + tan theta is equal to 5

Then,

Sin squared theta upon cos squared theta minus one plus

And.is +-3

Answer 2

Answer:

cos teta =5/13

hope you got it