Mathematics

If sin( theta ) = K find tan(theta), 0° (leq) (theta) (leq) 90°.

If sin( theta ) = K find tan(theta), 0° (leq) (theta) (leq) 90°.

  • A.
    1-K
  • B.
    ( frac{k}{k – 1} )
  • C.
    ( frac{k}{sqrt{1 – k^2}} )
  • D.
    ( frac{k}{1 – k} )
  • E.
    ( frac{k}{sqrt{ k^2 – 1}} )
Correct Answer: Option C
Explanation

(sin theta = frac{k}{1})

(implies 1^2 = k^2 + adj^2)

(adj = sqrt{1 – k^2})

(therefore tan theta = frac{k}{sqrt{1 – k^2}})