double and half angles identities

double and half angles identities

10th Grade

19 Qs

quiz-placeholder

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double and half angles identities

double and half angles identities

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Medium

CCSS
HSF.TF.C.9, HSF.TF.C.8

Standards-aligned

Created by

Kanika Rana

Used 56+ times

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19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

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

Tags

CCSS.HSF.TF.C.9

2.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

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

Tags

CCSS.HSF.TF.C.9

3.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

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

Tags

CCSS.HSF.TF.C.9

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

Tags

CCSS.HSF.TF.C.9

5.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

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

Tags

CCSS.HSF.TF.C.9

6.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

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

Tags

CCSS.HSF.TF.C.9

7.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

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

Tags

CCSS.HSF.TF.C.9

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