The three main trigonometric ratios are:[br]cosine - sIne and tangent.[br]Let's discover more about them![br][br][br]
Using the given right triangle, we have:[br][size=150][color=#ff00ff]Cosine[/color] : [math]cosA=\frac{3}{5}[/math][br][color=#ff00ff]Sine: [/color] [math]sinA=\frac{4}{5}[/math][br][color=#ff00ff]Tangent [/color]: [math]tanA=\frac{4}{3}[/math][/size]
Answer the following questions about the above right triangle:[br]
What is the measure of the [color=#ff0000]hypotenuse[/color]?
What is the measure of [color=#ff0000]adjacent side[/color] to angle A?
What is the measure of the [color=#ff0000]opposite side[/color] to angle A?
Find the ratio [math]\frac{opposite}{hypotenuse}[/math]
Compare: What trigonometric ratio is equal to the ratio [math]\frac{opposite}{hypotenuse}[/math] ?
Find the ratio [math]\frac{adjacent}{hypotenuse}[/math]
Compare: What trigonometric ratio is equal to the ratio [math]\frac{adjacent}{hypotenuse}[/math] ?
Find the ratio [math]\frac{opposite}{adjacent}[/math]
Compare: What trigonometric ratio is equal to the ratio [math]\frac{opposite}{adjacent}[/math] ?
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?
[math]tanA=\frac{sinA}{cosA}[/math]
