Mathematics

Question

Complete the identity. =( sin (alpha +beta))/ (cos alpha cos beta)=?
A. cot α + cot β
B. tan β + tan α
C. tan α + tan β
D. -tan α + cot β

1 Answer

  • Hi, We know:

    Sin(a + b) = 2.Sin(a).Sin(b)

    Then,

    = 2Sin(a).Cos(b)/Cos(a).Cos(b)

    Canceling Cos(b)

    = 2Sin(a)/Cos(a)

    As Tan(a) = Sin(a)/Cos(a)

    Then we will stay:

    = 2Tan(a)

    Or

    = Tan(a) + Tan(a)

    There is anything wrong on the alternatives
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