Unit 5 Optional Review: Trigonometric Functions and Representations (Bartels M3H)

1

Convert 90\degree to radians.

1

Convert 180\degree to radians.

1

Convert 114\degree to radians.

1

Convert 27\degree to radians.

1

Convert the angle \frac{\pi}{4} radians to degrees.

1

Convert \frac{5\pi}{6} radians to degrees.

1

Convert \frac{7\pi}{3} radians to degrees.

1

Convert \frac{5\pi}{3} radians to degrees.

3

Evaluate each of the following trig functions if the terminal side of angle \theta in standard position passes through point (5,-3). Leave in reduced and rationalized fraction.

sin\theta=_______ 
cos\theta=_______ 
cot\theta=_______ 

1

If cos\theta={\frac{5}{13}} and 0<\theta<\frac{\pi}{2}. Find tan\theta

1

From a hot air balloon 2,500ft above the ground, you see a clearing whose angle of depression is 25\degree. to the nearest foot, what is your horizontal distance from the clearing?

3

Solve for the missing sides and angles. Round your answer to the nearest hundredth. 
m\angle{A}=_______ 
side{AB}=_______ 
side{CB}=_______ 

1

Evaluate each of the following trigonometric functions at the given angle.

cos(30°)

1

Evaluate each of the following trigonometric functions at the given angle.

sin(-210°)

1

Evaluate each of the following trigonometric functions at the given angle.

csc(90°)

1

Evaluate each of the following trigonometric functions at the given angle.

tan(120°)

2

Find all possible values of θ between 0≤θ≤360°.

tan(-1)

list them from smallest to largest
 _______ and _______

1

Find all possible values of θ between 0≤θ≤360°.

sin(1)

2

Find all possible values of θ between 0≤θ≤360°.

cos(\frac{\sqrt{3}}{2})

list them from smallest to largest
_______ and_______ 

1

sinx•secx

1

sinx•cotx

1

sinx(cscx-sinx)

1

tanxcotx-cos^{2}x

1

secx•cotx•sinx

1

\frac{sin^{2}x+cos^{2}x}{sinxcosx}

1

\frac{1+tan^{2}x}{cscx•secx}

1

Unit 5 Optional Review: Trigonometric Functions and Representations (Bartels M3H)

Convert 90\degree to radians.

Convert 180\degree to radians.

Convert 114\degree to radians.

Convert 27\degree to radians.

Convert the angle \frac{\pi}{4} radians to degrees.

Convert \frac{5\pi}{6} radians to degrees.

Convert \frac{7\pi}{3} radians to degrees.

Convert \frac{5\pi}{3} radians to degrees.

If cos\theta={\frac{5}{13}} and 0<\theta<\frac{\pi}{2}. Find tan\theta

From a hot air balloon 2,500ft above the ground, you see a clearing whose angle of depression is 25\degree. to the nearest foot, what is your horizontal distance from the clearing?

Evaluate each of the following trigonometric functions at the given angle. cos(30°)

Evaluate each of the following trigonometric functions at the given angle. sin(-210°)

Evaluate each of the following trigonometric functions at the given angle. csc(90°)

Evaluate each of the following trigonometric functions at the given angle. tan(120°)

Find all possible values of θ between 0≤θ≤360°.sin(1)

sinx•secx

sinx•cotx

sinx(cscx-sinx)

tanxcotx-cos^{2}x

secx•cotx•sinx

\frac{sin^{2}x+cos^{2}x}{sinxcosx}

\frac{1+tan^{2}x}{cscx•secx}

sinx•cosx•cotx+3cos^{2}x

Evaluate: cot(5\pi/9)

Evaluate: csc(212\degree)

What angle is co-terminal to 30\degree

What angle is quadrant II would have a reference angle of 55\degree

What quadrant would the terminal side of 285\degree angle fall in?

The cosine of 270\degree angle is?

The sine of 270\degree angle is?

Evaluate tan(7.8\degree)

Find the measurement of \theta if csc\theta=4/3

Would you use law of sines or law of cosines to solve for the missing side?

How would you set it up?

Convert 90\degree to radians.

Convert 180\degree to radians.

Convert 114\degree to radians.

Convert 27\degree to radians.

Convert the angle \frac{\pi}{4} radians to degrees.

Convert \frac{5\pi}{6} radians to degrees.

Convert \frac{7\pi}{3} radians to degrees.

Convert \frac{5\pi}{3} radians to degrees.

If cos\theta={\frac{5}{13}} and 0<\theta<\frac{\pi}{2}. Find tan\theta

From a hot air balloon 2,500ft above the ground, you see a clearing whose angle of depression is 25\degree. to the nearest foot, what is your horizontal distance from the clearing?

Evaluate each of the following trigonometric functions at the given angle. cos(30°)

Evaluate each of the following trigonometric functions at the given angle. sin(-210°)

Evaluate each of the following trigonometric functions at the given angle. csc(90°)

Evaluate each of the following trigonometric functions at the given angle. tan(120°)

Find all possible values of θ between 0≤θ≤360°.sin(1)

sinx•secx

sinx•cotx

sinx(cscx-sinx)

tanxcotx-cos^{2}x

secx•cotx•sinx

\frac{sin^{2}x+cos^{2}x}{sinxcosx}

\frac{1+tan^{2}x}{cscx•secx}

sinx•cosx•cotx+3cos^{2}x

Evaluate each of the following trigonometric functions at the given angle.

cos(30°)

Evaluate each of the following trigonometric functions at the given angle.

sin(-210°)

Evaluate each of the following trigonometric functions at the given angle.

csc(90°)

Evaluate each of the following trigonometric functions at the given angle.

tan(120°)

Find all possible values of θ between 0≤θ≤360°.

sin(1)

Evaluate each of the following trigonometric functions at the given angle.

cos(30°)

Evaluate each of the following trigonometric functions at the given angle.

sin(-210°)

Evaluate each of the following trigonometric functions at the given angle.

csc(90°)

Evaluate each of the following trigonometric functions at the given angle.

tan(120°)

Find all possible values of θ between 0≤θ≤360°.

sin(1)