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Trigonometry - Calculating Angles from Ratio Fractions and Trig Identities (Level 1)

This math topic focuses on calculating angles based on trigonometric ratios. It includes solving problems that ask for the determination of an angle when given the ratio of sides, such as opposite to hypotenuse, opposite to adjacent, or adjacent to hypotenuse. The problems are designed to apply trigonometric identities and understand the relationships between different sides of a right triangle in trigonometry, aiming to enhance fundamental skills in trigonometry as an introductory concept. Each problem presents multiple choices for the angle that corresponds with the given side ratio.

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

Calculating Angles from Ratio Fractions and Trig Identities

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


What angle (in degrees) has this ratio of sides?

oppadj=114.544\frac{opp}{adj} = \frac{114.54}{4}