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# Trigonometry For Dummies

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### Trigonometry For Dummies

1. 1. By : Jasemar Reid
2. 2. <ul><li>Trig is basically geometry and the study of angles and the relationships of three- dimensional figures. It’s also the study of how the sides and angles of a triangle are related to each other. </li></ul>
3. 3. <ul><li>The height to the hypotenuse of a triangle is called the sine (pronounced like the word “sign”), it is abbreviated as SIN. </li></ul><ul><li>The base to the hypotenuse is called the cosine (pronounced like the word “co-sign”), it is abbreviated as COS. </li></ul>
4. 4. <ul><li>The reference angle is the positive acute angle that can represent an angle of any measure. Basically, any angle on the x-y plane has a reference angle, which is always between 0 and 90 degrees. The reference angle is always the smallest angle that you can make from the terminal side of an angle (ie where the angle ends) with the x-axis. </li></ul>
5. 5. <ul><li>Degree 2 Radian : </li></ul><ul><li>Just simply do Degree x ∏ </li></ul><ul><li>180 </li></ul><ul><li>EXAMPLE : </li></ul><ul><li>90° x ∏ ‗ .5∏ </li></ul><ul><li>180 </li></ul><ul><li>Radian 2 Degree : </li></ul><ul><li>Just simply do EX : 4∏ . 180 = 240° </li></ul><ul><li>3 ∏ </li></ul><ul><li>Cancel out the pi signs. </li></ul><ul><li>Then simply. </li></ul>
6. 6. <ul><li>A coterminal angle is when the angle have the same terminal side. </li></ul><ul><li>Example: </li></ul><ul><li>30° is coterminal with 360° + 30° = 390°.  They have the same terminal side. </li></ul><ul><li>Example 2: </li></ul><ul><li>− 90° is coterminal with 270°. </li></ul>
7. 7. <ul><li>  Some angles has exact values of their trigonometric functions. Angles 0° and 90° cannot be acute in a right angled triangle that’s why there is a symbol in the table which means it is undefined. </li></ul>
8. 8. <ul><li>I hope u learned and enjoyed the presentation. </li></ul>