- Demonstrate the ability to find trigonometric function values using a calculator
- Demonstrate the ability to find missing angle measures using inverse trigonometric functions
#1:
Instructions: Use a calculator to find each, round to the nearest ten-thousandth.
$$a)\hspace{.1em}\text{csc}(-560°)$$
$$b)\hspace{.1em}\text{sin}\hspace{.25em}230°$$
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#2:
Instructions: Use a calculator to find each, round to the nearest ten-thousandth.
$$a)\hspace{.1em}\text{sec}\hspace{.25em}200°$$
$$b)\hspace{.1em}\text{csc}(-550°)$$
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#3:
Instructions: Find the exact value.
$$a)\hspace{.1em}\text{sin}^{-1}\left(-\frac{\sqrt{2}}{2}\right)$$
$$b)\hspace{.1em}\text{tan}^{-1}\left(\frac{\sqrt{3}}{3}\right)$$
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#4:
Instructions: Use a calculator to find θ, round to the nearest ten-thousandth.
0° ≤ θ ≤ 90°
$$a)\hspace{.1em}\text{sin}\hspace{.1em}θ=\frac{1}{9}$$
$$b)\hspace{.1em}\text{cos}\hspace{.1em}θ=\frac{8}{13}$$
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#5:
Instructions: Use a calculator to find θ, round to the nearest ten-thousandth.
0° ≤ θ ≤ 90°
$$a)\hspace{.1em}\text{csc}\hspace{.1em}θ=\frac{16}{11}$$
$$b) \hspace{.1em}\text{sec}\hspace{.1em}θ=\frac{17}{5}$$
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Written Solutions:
#1:
Solutions:
$$a)\hspace{.1em}2.9238$$
$$b)\hspace{.1em}{-}0.766$$
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#2:
Solutions:
$$a)\hspace{.1em}{-}1.0642$$
$$b)\hspace{.1em}5.7588$$
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#3:
Solutions:
$$a)\hspace{.1em}{-}45°$$
$$b)\hspace{.1em}30°$$
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#4:
Solutions:
$$a)\hspace{.1em}θ ≈ 6.3794°$$
$$b)\hspace{.1em}θ ≈ 52.0201°$$
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#5:
Solutions:
$$a)\hspace{.1em}θ ≈ 43.4325°$$
$$b)\hspace{.1em}θ ≈ 72.8954°$$
