Sum/Difference & Double/Angle Identities

Sum/Difference & Double/Angle Identities

9th - 12th Grade

10 Qs

quiz-placeholder

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Sum/Difference & Double/Angle Identities

Sum/Difference & Double/Angle Identities

Assessment

Quiz

9th - 12th Grade

Practice Problem

Medium

CCSS
HSF.TF.C.9, HSF.TF.B.7

Standards-aligned

Created by

Patricia Jones

Used 61+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the exact value of cos 75°75\degree  

 624\frac{\sqrt{6}-\sqrt{2}}{4}  

 5+34\frac{\sqrt{5}+\sqrt{3}}{4}  

 12\frac{1}{2}  

 264\frac{\sqrt{2}-\sqrt{6}}{4}  

Tags

CCSS.HSF.TF.C.9

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the exact value of sin  75°75\degree  

 2+64\frac{\sqrt{2}+\sqrt{6}}{4}  

 84\frac{\sqrt{8}}{4}  

 264\frac{\sqrt{2}-\sqrt{6}}{4}  

 74\frac{\sqrt{7}}{4}  

Tags

CCSS.HSF.TF.C.9

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given angle A and B in Quadrant I with  sinA =1213 and cosB =35 find cos(A+B)\sin A\ =\frac{12}{13}\ and\ \cos B\ =\frac{3}{5}\ find\ \cos\left(A+B\right)  

 3365-\frac{33}{65}  

 3365\frac{33}{65}  

 12\frac{1}{2}  

 1213\frac{12}{13}  

Tags

CCSS.HSF.TF.C.9

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 sinA= 1213  and cosB= 45, find cos(A+B)\sin A=\ \frac{12}{13\ }\ and\ \cos B=\ \frac{4}{5},\ find\ \cos\left(A+B\right)  Given angle A and B in Quadrant I with

 1645\frac{16}{45}  

 1665\frac{16}{65}  

 3665\frac{36}{65}  

 2045\frac{20}{45}  

Tags

CCSS.HSF.TF.C.9

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 Given cosθ=513 and 3π2<θ<2π find sin2θGiven\ \cos\theta=\frac{5}{13}\ and\ \frac{3\pi}{2}<\theta<2\pi\ find\ \sin2\theta  

 120169\frac{120}{169}  

 120169-\frac{120}{169}  

 2426\frac{24}{26}  

 1026\frac{10}{26}  

Tags

CCSS.HSF.TF.C.9

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 Solve 4cos2θ3=0 for the interval 0°θ360°Solve\ 4\cos^2\theta-3=0\ for\ the\ interval\ 0\degree\le\theta\le360\degree  

 30°, 45°, 60°, 360°30\degree,\ 45\degree,\ 60\degree,\ 360\degree  

 30°, 150°, 210°, 330°30\degree,\ 150\degree,\ 210\degree,\ 330\degree  

 60°, 120°, 240°, 300°60\degree,\ 120\degree,\ 240\degree,\ 300\degree  

 45°, 135°, 225°, 315°45\degree,\ 135\degree,\ 225\degree,\ 315\degree  

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 Solve 2sinθ+3=0 on the interval 0°θ360°Solve\ 2\sin\theta+\sqrt{3}=0\ on\ the\ interval\ 0\degree\le\theta\le360\degree  

 45°, 135°, 225°, 315°45\degree,\ 135\degree,\ 225\degree,\ 315\degree  

 225°, 315°225\degree,\ 315\degree  

 60°, 120°, 240°, 300°60\degree,\ 120\degree,\ 240\degree,\ 300\degree  

 240°, 300°240\degree,\ 300\degree  

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