Test Objectives
• Demonstrate the ability to find trigonometric function values using a calculator
• Demonstrate the ability to find missing angle measures using inverse trigonometric functions
Finding Trigonometric Function Values Using a Calculator Practice Test:

#1:

Instructions: Use a calculator to find each, round to the nearest ten-thousandth.

$$a)\hspace{.1em}\text{csc}(-560°)$$

$$b)\hspace{.1em}\text{sin}\hspace{.25em}230°$$

#2:

Instructions: Use a calculator to find each, round to the nearest ten-thousandth.

$$a)\hspace{.1em}\text{sec}\hspace{.25em}200°$$

$$b)\hspace{.1em}\text{csc}(-550°)$$

#3:

Instructions: Find the exact value.

$$a)\hspace{.1em}\text{sin}^{-1}\left(-\frac{\sqrt{2}}{2}\right)$$

$$b)\hspace{.1em}\text{tan}^{-1}\left(\frac{\sqrt{3}}{3}\right)$$

#4:

Instructions: Use a calculator to find θ, round to the nearest ten-thousandth.

0° ≤ θ ≤ 90°

$$a)\hspace{.1em}\text{sin}\hspace{.1em}θ=\frac{1}{9}$$

$$b)\hspace{.1em}\text{cos}\hspace{.1em}θ=\frac{8}{13}$$

#5:

Instructions: Use a calculator to find θ, round to the nearest ten-thousandth.

0° ≤ θ ≤ 90°

$$a)\hspace{.1em}\text{csc}\hspace{.1em}θ=\frac{16}{11}$$

$$b) \hspace{.1em}\text{sec}\hspace{.1em}θ=\frac{17}{5}$$

Written Solutions:

#1:

Solutions:

$$a)\hspace{.1em}2.9238$$

$$b)\hspace{.1em}{-}0.766$$

#2:

Solutions:

$$a)\hspace{.1em}{-}1.0642$$

$$b)\hspace{.1em}5.7588$$

#3:

Solutions:

$$a)\hspace{.1em}{-}45°$$

$$b)\hspace{.1em}30°$$

#4:

Solutions:

$$a)\hspace{.1em}θ ≈ 6.3794°$$

$$b)\hspace{.1em}θ ≈ 52.0201°$$

#5:

Solutions:

$$a)\hspace{.1em}θ ≈ 43.4325°$$

$$b)\hspace{.1em}θ ≈ 72.8954°$$