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, Unit Circle Pythagorean Identity - Cos/Sin to Identity (Degrees, Squared Notation)

Level 1

This math topic focuses on trigonometry and the unit circle, specifically utilizing the Pythagorean identity. Students learn to establish relationships between the sine and cosine of angles expressed in degrees using squared notation. The problems involve calculating or deducing the values of sine or cosine based on the Pythagorean theorem as applied to different triangles within the unit circle context. Each question presents the scenario in a visual format followed by a set of answer choices, requiring the application of formulas like \(\sin^2(\theta) + \cos^2(\theta) = 1\).

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

more
WorksheetView

Trigonometry, Unit Circle Pythagorean Identity - Cos/Sin to Identity (Degrees, Squared Notation) Worksheet

Mobius Math Academy logo
Trigonometry, Unit Circle Pythagorean Identity - Cos/Sin to Identity ...
1
An svg image showing a math problem
What does Pythagoras tell us about the Y dimension of this triangle?
a A LaTex expression showing (\sin{(\gamma)}) to the power of 2 = 1 + (\cos{(\gamma)}) to the power of 2
b A LaTex expression showing (\sin{(\gamma)}) to the power of 2 = 1 - (\cos{(\gamma)}) to the power of 2
2
An svg image showing a math problem
What does Pythagoras tell us about the Y dimension of this triangle?
a A LaTex expression showing (\sin{(\gamma)}) to the power of 2 = 1 - (\cos{(\gamma)}) to the power of 2
b A LaTex expression showing (\sin{(\gamma)}) to the power of 2 = 1 + (\cos{(\gamma)}) to the power of 2
3
An svg image showing a math problem
What does Pythagoras tell us about the Y dimension of this triangle?
a A LaTex expression showing \sin{(\beta)} = square root of (\cos{(\beta)) to the power of 2 + 1}
b A LaTex expression showing \sin{(\beta)} = square root of 1 - (\cos{(\beta)) to the power of 2 }
4
An svg image showing a math problem
What does Pythagoras tell us about the X dimension of this triangle?
a A LaTex expression showing \cos{(\gamma)} = square root of 1 - (\sin{(\gamma)) to the power of 2 }
b A LaTex expression showing \cos{(\gamma)} = square root of (\sin{(\gamma)) to the power of 2 + 1}
5
An svg image showing a math problem
What does Pythagoras tell us about the Y dimension of this triangle?
a A LaTex expression showing \sin{(\alpha)} = square root of (\cos{(\alpha)) to the power of 2 + 1}
b A LaTex expression showing \sin{(\alpha)} = square root of 1 - (\cos{(\alpha)) to the power of 2 }
6
An svg image showing a math problem
What does Pythagoras tell us about the Y dimension of this triangle?
a A LaTex expression showing (\sin{(\beta)}) to the power of 2 = 1 + (\cos{(\beta)}) to the power of 2
b A LaTex expression showing (\sin{(\beta)}) to the power of 2 = 1 - (\cos{(\beta)}) to the power of 2
7
An svg image showing a math problem
What does Pythagoras tell us about the X dimension of this triangle?
a A LaTex expression showing (\cos{(\alpha)}) to the power of 2 = 1 - (\sin{(\alpha)}) to the power of 2
b A LaTex expression showing (\cos{(\alpha)}) to the power of 2 = 1 + (\sin{(\alpha)}) to the power of 2
8
An svg image showing a math problem
What does Pythagoras tell us about the X dimension of this triangle?
a A LaTex expression showing \cos{(\alpha)} = square root of (\sin{(\alpha)) to the power of 2 + 1}
b A LaTex expression showing \cos{(\alpha)} = square root of 1 - (\sin{(\alpha)) to the power of 2 }