Question

If 1 + sin theta /1 - sin theta = 36/25 find value of cos theta + sin theta / cos theta - sin theta=1

Answer 1

Answer:

Step-by-step explanation:

i m taking theta as beta for the sake of writing only

(1+sinβ)/(1-sinβ) = 36/25

25(1+sinβ) = 36(1-sinβ)

25+25sinβ = 36-36sinβ

61sinβ = 11

sinβ = 11/61

cosβ = √(1-sin²β) = √(1- (11/61)²) = 60/61

(cosβ + sinβ)/(cosβ - sinβ) = (60/61 + 11/61)/(60/61 - 11/61)

                                         = (60+11)/(60-11)

                                         =71/49