Trig For Dummies By Adrian P.
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Trig For Dummies By Adrian P.

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Trig For Dummies By Adrian P. Trig For Dummies By Adrian P. Presentation Transcript

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