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4.7 Inverse Trigonometric Functions

4.7 Inverse Trigonometric Functions. Definition of the Inverse Trig. Functions. 1. arcsin x quadrants I and IV. 2. arccos x quadrants I and II. 3. arctan x quadrants I and IV. Find the values of :. -1. I or IV. 2. 2. I or IV. 1. I or II. 1. 1. 1. 0. -1.

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4.7 Inverse Trigonometric Functions

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  1. 4.7 Inverse Trigonometric Functions Definition of the Inverse Trig. Functions 1. arcsin x quadrants I and IV 2. arccos x quadrants I and II 3. arctan x quadrants I and IV

  2. Find the values of : -1 I or IV 2 2 I or IV 1

  3. I or II 1 1 1 0 -1

  4. Use your calculator to approximate the value. Calculator in radians. arctan( -8.45 ) arcsin( 0.2247 ) arccos( 2 ) -1.453001 .226635 error Remark: the domain of the inverse functions of cosine and sine are [-1,1].

  5. x Use an inverse trig. function to write as a function of x. 5

  6. Find the exact value. 1 tan[arctan(-5)] -5 What is the tan of this triangle? -5 is coterminal to what angle that is in the domain of arcsin?

  7. Find the exact value. 3 2 4 -3 5

  8. Find sin(arccos 3x) 1 = (3x)2 + b2 1 ? = 3x sin(arccos 3x) cot(arccos 3x)

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