kellerpaula kellerpaula
  • 19-03-2020
  • Mathematics
contestada

verify (prove whether true or false)
sec^2a+csc^2a= 1/sin^2acos^2a

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bhuvna789456
bhuvna789456 bhuvna789456
  • 26-03-2020

The expression is true

Step-by-step explanation:

  • Step 1: Prove the expression true or false. sec²a + cosec²a = 1/sin²a cos²a

Left Hand Side = sec²a + cosec²a = 1/cos²a + 1/sin²a

                         = sin²a + cos²a/sin²a cos²a (∵ sin²a + cos²a = 1)

                         = 1/sin²a cos²a (∵ sin²a + cos²a = 1)

                         = Right Hand Side

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