Question 7.5.4: Finding Inverse Function Values with a Calculator Use a calc...
Finding Inverse Function Values with a Calculator
Use a calculator to approximate each value.
(a) Find y in radians if y = \csc^{-1}(-3).
(b) Find θ in degrees if θ = arccot(-0.3541).
(a) With the calculator in radian mode, enter \csc^{-1}(-3) as \sin^{-1} (\frac{ 1}{ -3}) to obtain y ≈ -0.3398369095. See Figure 22(a).
(b) A calculator in degree mode gives the inverse tangent value of a negative number as a quadrant IV angle. The restriction on the range of arccotangent implies that θ must be in quadrant II.
arccot(-0.3541) is entered as \tan^{-1}(\frac{1}{ -0.3541})+ 180°.
As shown in Figure 22(b),
θ ≈ 109.4990544°.
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