Double-Angle and Half-Angle Identities

Presentation

•

Mathematics

•

11th Grade

•

Medium

•

CCSS

HSF.TF.C.9

Standards-aligned

Anita Langston

Used 3+ times

FREE Resource

11 Slides • 12 Questions

Please take a moment and look at the Double-Angle and Half-Angle Identities in your flipchart.

Please watch the video and take notes in your INB.

Multiple Choice

cos 2x =

2 sin x cos x

cos²x - sin²x

2 cos²x - 2

sin²x - cos²x

Multiple Choice

Which identity represents a double-angle identity for sin 2θ?

2sinθcosθ

cos²θ - sin²θ

1 - 2sin²θ

2cos²θ - 1

Multiple Select

Select all that represent a double-angle identity for cos 2θ?

2sinθcosθ

cos²θ - sin²θ

1 - 2sin²θ

2cos²θ - 1

Multiple Choice

cos 2x =

2(sin x)(cos x)

$\cos^2x+\sin^2x$

$2\cos^2x-1$

$\sin^2x-\cos^2x$

Copy the examples from the next video in your INB. Feel free to pause and try some of the questions on your own.

Multiple Choice

The expression $2\sin30^o\cos30^o$ has the same value as

$\sin15^o$

$\cos60^o$

$\sin60^o$

$\cos15^o$

Multiple Choice

The expression $10\sin2x\cos2x$ has the same value as

$\sin20x$

$\cos20x$

$5\ \sin4x$

$4\ \sin\ 5x$

Multiple Choice

The expression $\cos^2\ 23°\ -\ \sin^2\ 23°$ has the same value as

$\sin32°$

$\cos64°$

$\cos\ 46°$

$\sin\ 46°\ \cos\ 46°$

Multiple Choice

The expression $2\cos^2\ 22.5°\ -\ 1$ has the same value as

$\sin\ 45°$

$\cos45°$

$\cos\ \left(\frac{22.5}{2}\right)°$

$\cos\ 22.5°$

Watch the video on the next slide and copy the notes into your INB.

Multiple Choice

Use a double-angle or half-angle identity to find the exact value of each expression

cos θ = 4/5 and 270° < θ < 360°Find sin 2θ

-1/5

24/25

-24/25

-25/24

Multiple Choice

Use a double-angle identity to find the exact value of each expression
cos θ = 4/5 and 270° < θ < 360°
Find sin 2θ

-1/5

24/25

-24/25

-25/24

Multiple Choice

Find the exact value of sin 2x if sin x = 12/13 and x is in the first quadrant.

120/169

25/169

60/169

5/13

Multiple Choice

If $\sin\theta=\frac{\sqrt{5}}{3}$ , then $\cos2\theta$ equals

$\frac{1}{3}$

$-\frac{1}{3}$

$\frac{1}{9}$

$-\frac{1}{9}$

Watch the video on the next slide and copy the notes into your INB.

Please try the problem to your right. The answers are on the next page.

Please complete the worksheet attached in the assignment tab.

Please take a moment and look at the Double-Angle and Half-Angle Identities in your flipchart.

Please watch the video and take notes in your INB.

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