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11 February, 06:00

Verify (prove whether true or false)

sec^2a+csc^2a = 1/sin^2acos^2a

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Answers (1)
  1. 11 February, 07:07
    0
    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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