Math, asked by kamalhegde7721, 11 months ago

CosA = √3/2 then find the value of 1- sinA / 1 + secA

Answers

Answered by adapsanskruti
1

Answer:√3/4+ 2√3

Step-by-step explanation:

if cos A = √3/2

then sec a = 2/√3  ............. cos a ×sec a = 1

then sin²a + cos²a =1

        sin²a               = 1 - cos² a

                                 = 1 - (√3/2)²

                                  = 1 - 3/4

                                 = 4-3/4

      sin²a                   = 1/4

∴sin a = 1/2

sin a /1 +sec a= 1/2/1+2/√3

                     =   1/2×2+√3/√3

                     = √3/4+2√3

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