CLASS 10 · LEARNING KNOWLEDGE
Trigonometry and angle calculation
How it works
In a right triangle, an angle can be calculated from a side ratio using the inverse function. Sine and cosine for acute angles lie between 0 and 1. The calculator must be set to degrees.
Note
α=arcsin(G/H); α=arccos(A/H); α=arctan(G/A).
α=arcsin(G/H); α=arccos(A/H); α=arctan(G/A).
An example
In a right-angled triangle, the opposite leg is 3 cm and the adjacent leg is 10 cm. Calculate the corresponding acute angle. Round to two decimal places. Give the result in °.
tan α=3/10; α=arctan(3/10). Use degree measure. Result: 16.7 °.
Try it yourself now
50 Exercises · three difficulty levels · selection and number input
To the learning unit →Own explanation and own practice exercises by AmyMath. Subject reference framework: KMK Educational Standards Mathematics ESA/MSA. The topic assignment may vary by federal state.