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# Trig For Dummies By Adrian P.

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### Trig For Dummies By Adrian P.

1. 1. By Adrian P. Ms. Sukher MATH B PD.3
2. 2. What does trigonometry means? <ul><li>It very simple method that is based on properties of triangle and their application. </li></ul><ul><li>Also, deals with the relationship between sides and angle, and their functions </li></ul><ul><li>Trig. can be simple if you start learning the basic steps which you going to be learning next. </li></ul>
3. 3. Basics of Trig. <ul><li>Trigonometry is based on right triangle sides and their angles. </li></ul><ul><li>We used three different formulas depending on the position of the angle θ and the side </li></ul><ul><li> In this situation we use the formula </li></ul><ul><li>H O sin θ = Opp./Hypo. </li></ul><ul><li>θ H </li></ul><ul><li>In this triangle we use the formula θ </li></ul><ul><li> cos θ = Adj./ Hypo. A O </li></ul><ul><li> For this triangle we need the formula θ tan θ = Opp./ Adj. A </li></ul>
4. 4. How to convert from degree to radian and from radian to degree <ul><li>Example: </li></ul><ul><li>Degree to radian </li></ul><ul><li>60⁰ *∏ = 1/3 ∏ </li></ul><ul><li>180 </li></ul><ul><li>Radian to degree </li></ul><ul><li>2 ∏ ₀ 180 </li></ul><ul><li>3 ∏ </li></ul><ul><li>=60*2= 120⁰ </li></ul>
5. 5. Coterminal Angles <ul><li>Example: </li></ul><ul><li>Find the coterminal angle of 30⁰ </li></ul><ul><li>Coterminal+Angle =360 </li></ul><ul><li>C+ 30⁰=360 </li></ul><ul><li>-30⁰ - 30⁰ </li></ul><ul><li>C= 330 </li></ul><ul><li>Coterminal angle is 330⁰ </li></ul><ul><li>Two angles sharing the same initial and terminal sides </li></ul><ul><ul><li>The initial side is where the measure of an angle start </li></ul></ul><ul><ul><li>The terminal side is where the measure of an angle stops </li></ul></ul><ul><li>The sum of the angle and its coterminal is equal to 360⁰ </li></ul>
6. 6. Reference angle <ul><li>Example: </li></ul><ul><li>We find the answer by subtracting θ with 180 </li></ul><ul><li>180- 115 = 65 </li></ul><ul><li>An acute angle form by the terminal side of angle and the x-axis </li></ul><ul><li>Reference angles can appear in any of the four quadrant but quadrant 1 is special because reference angle is their own angle </li></ul>
7. 7. Signs in trigonometry <ul><li>Sin , Cos, and Tan have the same positive sign just in quadrant 1 </li></ul><ul><li>For Quadrant 2,3,4 the sign changed in sine, cosine , and tangent because the position of the angle changes. </li></ul>
8. 8. Unit circle <ul><li>This is a circle with one unit because is less than one. </li></ul><ul><li>As the angle change to different quadrant the coordinates and radian change as well. </li></ul><ul><li>The chart shows different angles that tell us the radian and coordinates of each point around the unit circle. </li></ul><ul><li>In the right triangle the hypotenuse is always one, x axis is always cos θ and the y axis is always sin θ . </li></ul>
9. 9. Values of special angles <ul><li>This are some special angles and their values for sine, cosine and tangent. </li></ul><ul><li>This is an easy way to learn and memorize these angles and their respective value. </li></ul>
10. 10. <ul><li>For those who don’t know what csc, sec , and cot means let me give you a hint. </li></ul><ul><li>CSC stands for Cosecant, SEC for Secant, and finally COT for Cotangent </li></ul><ul><li>This are the formulas that trig. Identity is mostly about , it look complicate but they can be helpful while simplifying </li></ul>Trigonometry Identity
11. 11. WELL DONE <ul><li>You have just learned the trig major steps. </li></ul><ul><li>Now, you know trigonometry is a very simple way to help you understand triangles and their properties. This presentation gave you the knowledge of what trigonometry is all about. </li></ul>