Right Triangle Trigonometry

Flashcard
•
Mathematics
•
11th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Pythagorean Theorem?
Back
In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
How do you find the sine of an angle in a right triangle?
Back
Sine of an angle (θ) is the ratio of the length of the opposite side to the length of the hypotenuse. Formula: sin(θ) = opposite/hypotenuse.
Tags
CCSS.HSG.SRT.C.6
3.
FLASHCARD QUESTION
Front
How do you find the cosine of an angle in a right triangle?
Back
Cosine of an angle (θ) is the ratio of the length of the adjacent side to the length of the hypotenuse. Formula: cos(θ) = adjacent/hypotenuse.
Tags
CCSS.HSG.SRT.C.6
4.
FLASHCARD QUESTION
Front
How do you find the tangent of an angle in a right triangle?
Back
Tangent of an angle (θ) is the ratio of the length of the opposite side to the length of the adjacent side. Formula: tan(θ) = opposite/adjacent.
Tags
CCSS.HSG.SRT.C.6
5.
FLASHCARD QUESTION
Front
What is the relationship between sine, cosine, and tangent?
Back
tan(θ) = sin(θ)/cos(θ). This means tangent can be expressed as the ratio of sine to cosine.
Tags
CCSS.HSG.SRT.C.7
6.
FLASHCARD QUESTION
Front
What is the sine ratio for a 45-degree angle?
Back
sin(45°) = √2/2.
Tags
CCSS.HSG.SRT.C.6
7.
FLASHCARD QUESTION
Front
What is the cosine ratio for a 45-degree angle?
Back
cos(45°) = √2/2.
Tags
CCSS.HSG.SRT.C.6
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