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Trigonometry - Solving Triangles - Intro

26 Topics, 3 Skills

Trig Identities in Variable Ratios

Topic 1

Calculating Angles from Ratios (Words)

Topic 2

Approximating Ratios in Decimal from Diagrams

Topic 3

Solve Side Lengths from Values

Topic 4

Select Trig Identity from Variable Ratios

Topic 5

Calculating Angles from Ratios

Topic 6

Solve Angles from Values

Topic 7

Solve Side Lengths from Diagrams

Topic 8

Calculating Angles from Ratios (Words to Arc Notation)

Topic 9

Calculating Angles from Ratios (-1 Notation)

Topic 10

Approximating Identities in Decimal from Diagrams

Topic 11

Calculating Angles from Ratios (Words to -1 Notation)

Topic 12

Calculating Angles from Ratios (Arc Notation)

Topic 13

Side Lengths from Variables

Topic 14

Calculating Angles from Ratios (to Arc Notation)

Topic 15

Calculating Angles from Ratio Decimals and Trig Identities

Topic 16

Side Length Ratios from Diagrams

Topic 17

Calculating Angles from Ratios (to -1 Notation)

Topic 18

Calculating Angles from Ratio Fractions and Trig Identities

Topic 19

Identities in Decimal from Diagrams

Topic 20

Calculating Ratios from Angles (Words)

Topic 21

Identity Ratios from Diagrams

Topic 22

Calculating Ratios from Angles

Topic 23

Solve Trig Ratio from Values

Topic 24

Side Length Ratios in Decimal from Diagrams

Topic 25

Solve Angles from Diagrams

Topic 26

Trigonometr

Calculating Angles from Ratios (to Arc Notation) (Level 1)

This math topic focuses on using trigonometric functions to calculate angles from given ratios, primarily using inverse trigonometric functions (arc functions). It covers problems involving the sine (sin), cosine (cos), and tangent (tan) functions, converting specific ratios to angles using arc notation like arcsine (asin), arccosine (acos), and arctangent (atan). Each question in the series offers multiple choices to identify the correct application of these functions, reinforcing understanding of how to correctly interpret trigonometric ratios and calculate corresponding angles.

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

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Calculating Angles from Ratios (to Arc Notation)

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

How would you calculate the angle, using arc notation?

tan(α)=5.671\text{tan}(\alpha) = 5.671

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