Basic Trigonometry Ratios and Side Lengths

Basic Trigonometry Ratios and Side Lengths

11th Grade

19 Qs

quiz-placeholder

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Basic Trigonometry Ratios and Side Lengths

Basic Trigonometry Ratios and Side Lengths

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSG.SRT.C.6, HSG.SRT.C.8, HSG.SRT.C.7

Standards-aligned

Created by

Barbara White

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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

Media Image

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

Media Image

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

Media Image

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

Media Image

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

Media Image

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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