The Trigonometric Ratios
Introduction:
The three main trigonometric ratios are:
cosine - sIne and tangent.
Let's discover more about them!
![Using the given right triangle, we have:
[size=150][color=#ff00ff]Cosine[/color] : [math]cosA=\frac{3}{5}[/math]
[color=#ff00ff]Sine: [/color] [math]sinA=\frac{4}{5}[/math]
[color=#ff00ff]Tangent [/color]: [math]tanA=\frac{4}{3}[/math][/size]](https://www.geogebra.org/resource/ntavd4fb/8NlcjiRl9WBOEX2M/material-ntavd4fb.png)
Answer the following questions about the above right triangle:
What is the measure of the hypotenuse?
What is the measure of adjacent side to angle A?
What is the measure of the opposite side to angle A?
Let's find some ratios
Find the ratio
Compare: What trigonometric ratio is equal to the ratio ?
Find the ratio
Compare: What trigonometric ratio is equal to the ratio ?
Find the ratio
Compare: What trigonometric ratio is equal to the ratio ?
Critical Thinking:
If we compare the ratio of tangent with sine and cosine. How can we write the ratio of tangent in terms of sine and cosine?
Read the summary.
