If 21 tanθ = 20, then(1 + sinθ - cosθ): (1-sinθ + cosθ) is equal to:
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Correct answer: C
Explanation
The correct answer is option 3 i.e. 14:15
Given that
If 21 tanθ = 20, then (1 + sinθ - cosθ): (1-sinθ + cosθ)
tanθ = 20/21
We know the 20, 21, and 29 is a triplicate
sinθ = 20/29
cosθ = 21/29
Now, (1 + sinθ - cosθ): (1-sinθ + cosθ) = (1 + 20/29 - 21/29) : (1 - 20/29 + 21/29)
= 28/29 : 30/29
= 14 : 15