Basic Trigonometry Ratios and Side Lengths

Quiz
•
Mathematics
•
11th Grade
•
Hard
Standards-aligned
Barbara White
FREE Resource
19 questions
Show all answers
1.
OPEN ENDED QUESTION
3 mins • 1 pt
A trigonometric ratio is the ratio of _______________ of two sides of a right triangle.
Evaluate responses using AI:
OFF
Answer explanation
the ratio of sides
Tags
CCSS.HSG.SRT.C.6
2.
OPEN ENDED QUESTION
3 mins • 1 pt
Trigonometry means ____________________________. Trig ratios are used to find a missing side or angle, given one side and an angle or two sides.
Evaluate responses using AI:
OFF
Answer explanation
Trigonometry means the study of relationships involving lengths and angles of triangles. Trig ratios help find missing sides or angles given specific information.
Tags
CCSS.HSG.SRT.C.7
3.
OPEN ENDED QUESTION
3 mins • 1 pt
tangent of ∠A = ____________________
Evaluate responses using AI:
OFF
Answer explanation
tangent of ∠A = opposite side / adjacent side
Tags
CCSS.HSG.SRT.C.6
4.
OPEN ENDED QUESTION
3 mins • 1 pt
sine of ∠A = ____________________
Evaluate responses using AI:
OFF
Answer explanation
sine of ∠A = opposite side / hypotenuse in a right triangle
Tags
CCSS.HSG.SRT.C.6
5.
OPEN ENDED QUESTION
3 mins • 1 pt
cosine of ∠A = ____________________
Evaluate responses using AI:
OFF
Answer explanation
cosine of ∠A = adjacent side / hypotenuse in a right triangle
Tags
CCSS.HSG.SRT.C.6
6.
OPEN ENDED QUESTION
3 mins • 1 pt
In terms of sides a, b, and c: tanA = ____ = ____ sinA = ____ = ____ cosA = ____ = ____
Evaluate responses using AI:
OFF
Answer explanation
In terms of sides a, b, and c: tanA = a/b = sinA/c = a/c cosA = b/c
Tags
CCSS.HSG.SRT.C.6
7.
OPEN ENDED QUESTION
3 mins • 1 pt
Find each trig ratio. tanA = ____
Evaluate responses using AI:
OFF
Answer explanation
To find tanA, you need to divide the length of the side opposite angle A by the length of the side adjacent to angle A in a right triangle.
Tags
CCSS.HSG.SRT.C.6
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