If 5 cosθ - 12 sinθ = 0, then what is the value of (1 + sinθ + cosθ)/(1 - sinθ + cosθ)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 3/2
Explanation:
5cosθ - 12 sinθ = 0
tanθ = (5)/(12)
We know that tanθ = (perpendicular)/(base) so,
By the triplet 5-12-13,
Hypotenuse = 13
sinθ = (5)/(13)
cosθ = (12)/(13)
(1 + sinθ + cosθ)/(1 - sinθ + cosθ)
(1 + 5/3 + 12/13)/(1 - 5/13 + 12/13)
(30)/(20) = 3/2