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# Trig For Dummies By Adrian P.

## on Jan 04, 2009

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## 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:
• 60⁰ *∏ = 1/3 ∏
• 180
• 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.