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.

$$a)\hspace{.1em}\text{csc}(-560°)$$

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


#2:

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

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

$$b)\hspace{.1em}\text{csc}(-550°)$$


#3:

Instructions: Find the exact value.

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

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


#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:

$$a)\hspace{.1em}θ ≈ 43.4325°$$

$$b)\hspace{.1em}θ ≈ 72.8954°$$