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 - Half Angle to Identity (Degrees)

Level 1

This math topic focuses on practicing the use of half-angle identities in trigonometry with angles in degrees. It covers specific trigonometric functions including sine (sin), cosine (cos), and tangent (tan). Each problem presents an expression involving a trigonometric function of half an angle, and students are tasked with completing the identity using given options. The worksheet is structured to enhance understanding and application of these half-angle identities within introductory trigonometric identities.

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

more
WorksheetView

Trigonometry Identities - Half Angle to Identity (Degrees) Worksheet

Mobius Math Academy logo
Trigonometry Identities - Half Angle to Identity (Degrees)
1
A LaTex expression showing \text{sin}{(\frac{240 to the power of circle }{2})}
Complete the half-angle identity for this expression
a A LaTex expression showing =\pmsquare root of \frac{1-\text{cos(240 to the power of circle )}{2}}
b A LaTex expression showing =\pmsquare root of \frac{1+\text{cos(240 to the power of circle )}{1-\text{cos}(240 to the power of circle }}
2
A LaTex expression showing \text{tan}{(\frac{315 to the power of circle }{2})}
Complete the half-angle identity for this expression
a A LaTex expression showing =\frac{1-\text{cos}(315 to the power of circle )}{\text{sin}(315 to the power of circle )}
b A LaTex expression showing =\pmsquare root of \frac{1+\text{sin(315 to the power of circle )}{1-\text{sin}(315 to the power of circle }}
3
A LaTex expression showing \text{tan}{(\frac{60 to the power of circle }{2})}
Complete the half-angle identity for this expression
a A LaTex expression showing =\pmsquare root of \frac{1+\text{sin(60 to the power of circle )}{2}}
b A LaTex expression showing =\frac{1-\text{cos}(60 to the power of circle )}{\text{sin}(60 to the power of circle )}
4
A LaTex expression showing \text{cos}{(\frac{210 to the power of circle }{2})}
Complete the half-angle identity for this expression
a A LaTex expression showing =\pmsquare root of \frac{1+\text{cos(210 to the power of circle )}{1-\text{cos}(210 to the power of circle }}
b A LaTex expression showing =\pmsquare root of \frac{1+\text{cos(210 to the power of circle )}{2}}
5
A LaTex expression showing \text{cos}{(\frac{60 to the power of circle }{2})}
Complete the half-angle identity for this expression
a A LaTex expression showing =\pmsquare root of \frac{1+\text{cos(60 to the power of circle )}{2}}
b A LaTex expression showing =\pmsquare root of \frac{1+\text{cos(60 to the power of circle )}{1-\text{cos}(60 to the power of circle }}
6
A LaTex expression showing \text{sin}{(\frac{330 to the power of circle }{2})}
Complete the half-angle identity for this expression
a A LaTex expression showing =\pmsquare root of \frac{1-\text{cos(330 to the power of circle )}{2}}
b A LaTex expression showing =\pmsquare root of \frac{1+\text{cos(330 to the power of circle )}{1-\text{cos}(330 to the power of circle }}
7
A LaTex expression showing \text{tan}{(\frac{225 to the power of circle }{2})}
Complete the half-angle identity for this expression
a A LaTex expression showing =\frac{1+\text{cos}(225 to the power of circle )}{\text{csc}(225 to the power of circle )}
b A LaTex expression showing =\pmsquare root of \frac{1-\text{cos(225 to the power of circle )}{1+\text{cos}(225 to the power of circle )}}
8
A LaTex expression showing \text{tan}{(\frac{120 to the power of circle }{2})}
Complete the half-angle identity for this expression
a A LaTex expression showing =\frac{1+\text{cos}(120 to the power of circle )}{\text{csc}(120 to the power of circle )}
b A LaTex expression showing =\frac{1-\text{cos}(120 to the power of circle )}{\text{sin}(120 to the power of circle )}