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On Inverse Trigonometric Functions

  1. Apr 14, 2010 #1
    Hi, can you help me solve these three questions? Please show each step. Thanks.

    1. solve for x: arcsin(6x-pi)=1/8
    2. Find an equation of the tangent line to the graph of y = arcsin (6x) at the point ((1/(6sqrt2),(pi/4))
    3. Find the indefinite integral of 1/sqrt(81-100x^2)
  2. jcsd
  3. Apr 14, 2010 #2
    1. Start by taking the sine of both sides.
    2. Its a well-known problem, start by differentiate the function. You are supposed to know how to complete it.
    3. Note that 100x^2=(10x)^2 , think about the trigonometric substitutions.

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