Double Angle and Half Angle Formula

Presentation

•

Mathematics

•

11th Grade

•

Hard

Joseph Anderson

FREE Resource

3 Slides • 14 Questions

Review Double & Half Angle Identities

Multiple Choice

sin2u =

(sinu)(cosu)

2(sinu)(cosu)

(sinu)^2

2(sinu)^2

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

Use the information about the angle θ, 0≤θ<2π to find the exact value of
sin (2θ)
1. sin θ= 3/5 , 0<θ<π/2

24/7

7/25

24/25

1/2

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

Using the second identity, find Cos(50)

sin²(25) - cos²(25)

cos²(50) - sin²(50)

cos²(25) - sin²(25)

sin²(50) - cos²(50)

Multiple Choice

Using the third identity, find Cos(40)

2cos² (40) - 1

2cos² (20) - 1

2cos² (20) + 1

2cos² (40) + 1

Multiple Choice

Use a double-angle or half-angle identity to find the exact value of each expression
sin θ = −3/5 and 3π/2 < θ < 2π Find tan θ/2

-1/3

-√3

√3/3

-1

Multiple Choice

Use the Half-angle formulas to find the exact value of each expression
sin 22.5º

√(2 + √3)/2

√(2 - √2)/2

√(2 + √2)/2

√(2 - √3)/2

Multiple Choice

If $\cos A=\frac{1}{3}$ , then the positive value of $\tan\ \frac{A}{2}$ ?

$\sqrt{2}$

$\sqrt{3}$

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

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

Multiple Choice

If $\cos\theta=\frac{1}{8},$ the positive value of $\sin\ \frac{\theta}{2}$ is

$\frac{3}{2}$

$\frac{\sqrt{7}}{4}$

$\frac{9}{16}$

$\frac{3}{4}$

Multiple Choice

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

$\sin15^o$

$\cos60^o$

$\sin60^o$

$\cos15^o$

Multiple Choice

If $\cos\theta=\frac{1}{8},$ what is the value of $\sin\ \frac{\theta}{2}$ if $\frac{3\pi}{2}<\theta<2\pi$

$\frac{3}{2}$

$-\frac{\sqrt{7}}{4}$

$\frac{9}{16}$

$-\frac{3}{4}$

Multiple Choice

Use a double angle identity to find the exact value of $\sin420\degree$

$-1$

$\frac{1}{2}$

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

Poll

After this review, I feel ------------ about using double & half angle identities

very confident

confident/OK

shaky...I'm so-so

not so sure...I'm very confused

Other: my thoughts/feelings are not expressed here

Review Double & Half Angle Identities

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