The unit circle and quadrants

Presentation

•

Mathematics

•

11th Grade

•

Medium

Pascale Chalain

Used 2+ times

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12 Slides • 10 Questions

The unit circle and quadrants

Replace this with a sub-header that can be in multiple lines.

Multiple Choice

What is the exact value of $Cos\ 30\degree$ ?

$\frac{1}{2}$

$\frac{1}{\sqrt[]{2}}$

$\frac{\sqrt[]{3}}{2}$

$\sqrt[]{3}$

Multiple Choice

What is the exact value of $\tan\ 60\degree$ ?

$\frac{1}{2}$

$\frac{1}{\sqrt[]{2}}$

$\frac{\sqrt[]{3}}{2}$

$\sqrt[]{3}$

Multiple Choice

Solve $\sin\ \theta=\frac{\sqrt[]{2}}{2}$

$\theta=\frac{\pi}{6}$

$\theta=\frac{\pi}{4}$

$\theta=\frac{\pi}{3}$

$\theta=\frac{\pi}{2}$

The Sine Curve

The Cosine Curve

The Tan Curve

The Quadrants

A = ALL positive
S = SIN only positive
T = TAN only positive
C = COS only positive

x is the key angle

Complete the table:

Multiple Choice

$\cos\ \theta$ is positive in

the 1st and 2nd quadrants

the 1st and 3rd quadrants

the 1st and 4th quadrants

the 2nd and 3rd quadrants

Multiple Choice

Evaluate cos(225°)

$-\frac{\sqrt{2}}{2}$

$\frac{\sqrt{2}}{2}$

$-\frac{\sqrt{3}}{2}$

$-\frac{1}{2}$

Dropdown

What is the reference angle for

\frac{4\pi}{3}

?

Reference angle =

Multiple Choice

Evaluate $\tan\left(\frac{7\pi}{6}\right)$

$-\frac{\sqrt{3}}{2}$

$\frac{\sqrt{3}}{3}$

$-\frac{1}{2}$

$\sqrt{3}$

Dropdown

Find the exact value of the following trig expressions.

\sin\left(\frac{\pi}{3}\right)=

\sin\left(\frac{7\pi}{6}\right)=

\cos\left(\frac{5\pi}{4}\right)=

\cos\left(-\frac{\pi}{3}\right)=

Example:

Dropdown

Suppose you know that for a particular angle,

\cos\theta=\frac{4}{5}

. The related triangle is shown. Find

\sin\theta=

Fill in the Blanks

Suppose you know that for a particular angle, $\cos\theta=\frac{4}{5}$ . The related triangle is shown.

Given that $\theta$ is in the fourth quadrant,

$\sin\theta=$

(type your answer as a fraction)

The unit circle and quadrants

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