Pre-Calculus

Write an algebraic expression in x for sec(arcsin(x/sqrt(x^(2) +4)))

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asked by Joseph
  1. sin A = x/sqrt(x^2+4)

    draw that right triangle
    side adjacent to A is
    sqrt (x^2+4-x^2) = sqrt 4 = 2
    so
    cos A = 2/sqrt(x^2+4)
    sec A = 1/cos A = sqrt(x^2+4)/2

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    posted by Damon

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