Trigonometry Fundamentals - Practice

45 Topics, 2 Skills

Both Lengths to Ratio, Whole Numbers - Parallel Line Display

Topic 1

Length and Ratio to Top Length, Whole Numbers - Parallel Line Display

Topic 2

Length and Ratio to Bottom Length, Whole Numbers - Parallel Line Display

Topic 3

Both Lengths to Ratio, Whole Numbers - Right Angle Line Display

Topic 4

Length and Ratio to Top Length, Whole Numbers - Right Angle Line Display

Topic 5

Length and Ratio to Bottom Length, Whole Numbers - Right Angle Line Display

Topic 6

Both Lengths to Ratio, Whole Numbers - Angle Line Display

Topic 7

Length and Ratio to Top Length, Whole Numbers - Angle Line Display

Topic 8

Length and Ratio to Bottom Length, Whole Numbers - Angle Line Display

Topic 9

Trig Identities in Variable Ratios

Topic 10

Select Trig Identity from Variable Ratios

Topic 11

Calculating Angles from Ratios (Words to Arc Notation)

Topic 12

Calculating Angles from Ratios (to Arc Notation)

Topic 13

Calculating Ratios from Angles (Words)

Topic 14

Calculating Angles from Ratios (Words)

Topic 15

Calculating Angles from Ratios (-1 Notation)

Topic 16

Calculating Angles from Ratio Decimals and Trig Identities

Topic 17

Identity Ratios from Diagrams

Topic 18

Both Lengths to Ratio, Decimal Numbers - Parallel Line Display

Topic 19

Both Lengths to Ratio, Decimal Numbers - Right Angle Line Display

Topic 20

Both Lengths to Ratio, Decimal Numbers - Angle Line Display

Topic 21

Both Lengths to Ratio, Decimal Numbers - Number Only Display

Topic 22

Approximating Identities in Decimal from Diagrams

Topic 23

Side Length Ratios from Diagrams

Topic 24

Identities in Decimal from Diagrams

Topic 25

Solve Angles from Diagrams

Topic 26

Side Length Ratios in Decimal from Diagrams

Topic 27

Fact Family - Sin/Cos/Tan - Triangle to Fact

Topic 28

Calculating Angles from Ratios (Words to -1 Notation)

Topic 29

Calculating Angles from Ratios (to -1 Notation)

Topic 30

Calculating Ratios from Angles

Topic 31

Calculating Angles from Ratios

Topic 32

Calculating Angles from Ratios (Arc Notation)

Topic 33

Calculating Angles from Ratio Fractions and Trig Identities

Topic 34

Both Lengths to Ratio, Decimal Numbers - Parallel Line Display

Topic 35

Both Lengths to Ratio, Decimal Numbers - Right Angle Line Display

Topic 36

Both Lengths to Ratio, Decimal Numbers - Angle Line Display

Topic 37

Both Lengths to Ratio, Decimal Numbers - Number Only Display

Topic 38

Approximating Ratios in Decimal from Diagrams

Topic 39

Side Lengths from Variables

Topic 40

Solve Trig Ratio from Values

Topic 41

Solve Angles from Values

Topic 42

Solve Side Lengths from Values

Topic 43

Solve Side Lengths from Diagrams

Topic 44

Fact Family - Sin/Cos/Tan - Fact to Triangle

Topic 45

Trigonometry - Calculating Angles from Ratios (Level 1)

Topic 32

This math topic focuses on advanced trigonometry, specifically on calculating angles from given trigonometric ratios. Students are required to find angles in degrees based on values of sine, cosine, and tangent. The problems range from finding angles for basic sine and cosine values to solving for angles using different tangent values. Each question includes multiple-choice answers, enhancing the students' problem-solving skills in interpreting trigonometric ratios to determine angle measures. This is a part of a broader unit on advanced trigonometry fundamentals.

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

View Unit

Calculating Angles from Ratios

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Calculate the angle in degrees, given the trigonometric ratio

sin(α)=0.342\text{sin}(\alpha) = 0.342