1-16-2025

Posljednje ažuriranje about 1 year ago

Do Now

Measuring a Circle

null

Converting

null

Coterminal and Reference Angles

It helps to have the angles measured in radians instead because it helps with solving arc length and area of a sector. The formulas are simpler and more concise.

Biblioteka

1-16-2025

Posljednje ažuriranje about 1 year ago

Do Now

Pitanje 1

Do Now- You are given the angle 500\degree .

Solve for a co terminal angle \theta such that 0<\theta<360

\theta=

With the given information, what is the reference angle for \theta?

Measuring a Circle

null

Pitanje 2

Instead of over complicating things, let's image a circle with a radius of 1. (leave your answer as a simplified fraction \frac{5\pi}{6})

What is the Circumference of the full Circle?

What is the Circumference (Arc Length) of half a Circle?

What is the Circumference of a third of a circle?

Converting

null

Teacher Example: Convert \frac{5\pi}{6} to degrees

Pitanje 3

Student Example \frac{8\pi}{3}

Teacher Example: Convert 15 degrees to radians

Pitanje 4

Student example: Convert 275 \degree to radians.

Coterminal and Reference Angles

It helps to have the angles measured in radians instead because it helps with solving arc length and area of a sector. The formulas are simpler and more concise.

null

Pitanje 5

Find an angle \theta that is co terminal to \frac{-2\pi}{7} where 0\leq \theta \leq 2\pi

Pitanje 6

What is the reference angle for \frac{4\pi}{3}

What is the reference angle for \frac{5\pi}{3}

Pitanje 1

Do Now- You are given the angle 500\degree .

Solve for a co terminal angle \theta such that 0<\theta<360

\theta=

With the given information, what is the reference angle for \theta?

Pitanje 2

Instead of over complicating things, let's image a circle with a radius of 1. (leave your answer as a simplified fraction \frac{5\pi}{6})

What is the Circumference of the full Circle?

What is the Circumference (Arc Length) of half a Circle?

What is the Circumference of a third of a circle?

Teacher Example: Convert \frac{5\pi}{6} to degrees

Pitanje 3

Student Example \frac{8\pi}{3}

Teacher Example: Convert 15 degrees to radians

Pitanje 4

Student example: Convert 275 \degree to radians.

null

Pitanje 5

Find an angle \theta that is co terminal to \frac{-2\pi}{7} where 0\leq \theta \leq 2\pi

Pitanje 6

What is the reference angle for \frac{4\pi}{3}

What is the reference angle for \frac{5\pi}{3}