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Mathematics

If sin θ = (513)\Big(\dfrac{5}{13}\Big), then the value of tan θ is:

  1. (512)\Big(\dfrac{5}{12}\Big)

  2. (1213)\Big(\dfrac{12}{13}\Big)

  3. (125)\Big(\dfrac{12}{5}\Big)

  4. (1312)\Big(\dfrac{13}{12}\Big)

Trigonometric Identities

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Answer

Given,

sin θ = (513)=oppositehypotenuse\Big(\dfrac{5}{13}\Big) = \dfrac{\text{opposite}}{\text{hypotenuse}}

Opposite = 5, Hypotenuse = 13

tan A = oppositeadjacent=512\dfrac{\text{opposite}}{\text{adjacent}} = \dfrac{5}{12}

Hence, option 1 is the correct option.

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