Home
Grade 1Grade 2Grade 3Grade 4Grade 5Grade 6Grade 7Grade 8Grade 9Grade 10Grade 11Grade 12Math Themes
Explorers (Grades 1-3)Explorers Elite (1-3)Navigators (Grades 4-6)Navigators Elite (4-6)Challengers (Grades 7-9)Challengers Elite (7-9)Scholars (Grades 10-12)Scholars Elite (10-12)Schedule an Evaluation
Mobius MethodFlexible ClassesCompanySupport
Pricing
Ctrl+k
Sign InJoin

Trigonometry Identities - Sum to Product to Identity (Degrees)

Level 1

This math topic focuses on practicing trigonometric identities, specifically the conversion from sum to product identities using degrees. It is suitable for students who are learning about trigonometric identities and provides problems requiring them to rewrite expressions involving sine and cosine functions. Each question presents an addition or subtraction of trigonometric terms and asks the student to convert the expression into a product format that involves both sine and cosine functions. The problems likely involve using specific trigonometric formulas to rearrange and simplify the expressions given in degrees.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more
WorksheetView

Trigonometry Identities - Sum to Product to Identity (Degrees) Worksheet

Mobius Math Academy logo
Trigonometry Identities - Sum to Product to Identity (Degrees)
1
Complete the sum to product identity for this expression
A LaTex expression showing \text{sin}{(60 to the power of circle )}+\text{sin}{(150 to the power of circle )}
a A LaTex expression showing =2 \text{sin}{( \frac{(60 to the power of circle + 150 to the power of circle )}{2})} \text{cos}{( \frac{(60 to the power of circle - 150 to the power of circle )}{2})}
b A LaTex expression showing =\text{sin}{( 2 over (60 to the power of circle + 150^{ circle )})} \text{sin}{( \frac{(60 to the power of circle - 150 to the power of circle )}{2})}
2
Complete the sum to product identity for this expression
A LaTex expression showing \text{sin}{(315 to the power of circle )}-\text{sin}{(210 to the power of circle )}
a A LaTex expression showing =2 \text{sin}{( \frac{(315 to the power of circle - 210 to the power of circle )}{2})} \text{cos}{( \frac{(315 to the power of circle + 210 to the power of circle )}{2})}
b A LaTex expression showing =-2 \text{sin}{( 2 over (315 to the power of circle ) )} \text{cos}{( \frac{(315 to the power of circle - 210 to the power of circle )}{2})}
3
Complete the sum to product identity for this expression
A LaTex expression showing \text{sin}{(150 to the power of circle )}-\text{sin}{(240 to the power of circle )}
a A LaTex expression showing =2 \text{sin}{( \frac{(150 to the power of circle - 240 to the power of circle )}{2})} \text{cos}{( \frac{(150 to the power of circle + 240 to the power of circle )}{2})}
b A LaTex expression showing =2 \text{cos}{( \frac{(150 to the power of circle + 240 to the power of circle )}{2})} - \text{sin}{( \frac{(150 to the power of circle + 240 to the power of circle )}{2})}
4
Complete the sum to product identity for this expression
A LaTex expression showing \text{sin}{(315 to the power of circle )}+\text{sin}{(150 to the power of circle )}
a A LaTex expression showing =2 \text{sin}{( \frac{(315 to the power of circle + 150 to the power of circle )}{2})} \text{cos}{( \frac{(315 to the power of circle - 150 to the power of circle )}{2})}
b A LaTex expression showing =2 \text{cos}{( \frac{(315 to the power of circle - 150 to the power of circle )}{2})} - \text{sin}{( \frac{(315 to the power of circle + 150 to the power of circle )}{2})}
5
Complete the sum to product identity for this expression
A LaTex expression showing \text{sin}{(150 to the power of circle )}+\text{sin}{(240 to the power of circle )}
a A LaTex expression showing =\text{sin}{( 2 over (150 to the power of circle + 240^{ circle )})} \text{sin}{( \frac{(150 to the power of circle - 240 to the power of circle )}{2})}
b A LaTex expression showing =2 \text{sin}{( \frac{(150 to the power of circle + 240 to the power of circle )}{2})} \text{cos}{( \frac{(150 to the power of circle - 240 to the power of circle )}{2})}
6
Complete the sum to product identity for this expression
A LaTex expression showing \text{cos}{(150 to the power of circle )}+\text{cos}{(240 to the power of circle )}
a A LaTex expression showing =2 \text{cos}{( \frac{(150 to the power of circle + 240 to the power of circle )}{2})} \text{cos}{( \frac{(150 to the power of circle - 240 to the power of circle )}{2})}
b A LaTex expression showing =2 \text{cos}{( 2 over (150 to the power of circle + 240^{ circle )})} \text{cos}{( \frac{(150 to the power of circle - 240 to the power of circle )}{2})}
7
Complete the sum to product identity for this expression
A LaTex expression showing \text{cos}{(150 to the power of circle )}-\text{cos}{(300 to the power of circle )}
a A LaTex expression showing =2 \text{sin}{( 2 over (150 to the power of circle + 300^{ circle )})} \text{cos}{( \frac{(150 to the power of circle - 300 to the power of circle )}{2})}
b A LaTex expression showing =-2 \text{sin}{( \frac{(150 to the power of circle + 300 to the power of circle )}{2})} \text{sin}{( \frac{(150 to the power of circle - 300 to the power of circle )}{2})}
8
Complete the sum to product identity for this expression
A LaTex expression showing \text{sin}{(120 to the power of circle )}+\text{sin}{(45 to the power of circle )}
a A LaTex expression showing =2 \text{sin}{( \frac{(120 to the power of circle + 45 to the power of circle )}{2})} \text{cos}{( \frac{(120 to the power of circle - 45 to the power of circle )}{2})}
b A LaTex expression showing =2 \text{cos}{( \frac{(120 to the power of circle - 45 to the power of circle )}{2})} - \text{sin}{( \frac{(120 to the power of circle + 45 to the power of circle )}{2})}