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Unit 5: Introduction to Trigonometry Lesson 5: Evaluate Trig Functions

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1 Unit 5: Introduction to Trigonometry Lesson 5: Evaluate Trig Functions
Accel Precalc Unit 5: Introduction to Trigonometry Lesson 5: Evaluate Trig Functions EQ: How do you evaluate trig functions of angles not found on special triangles?

2 Check MODE of calculator before you evaluate any function.
Using a Graphing Calculator to Approximate the Ratio of All Six Trig Functions: Check MODE of calculator before you evaluate any function. Degrees or Radians

3 Ex. Evaluate each trig function to four decimal places.

4 These are the reciprocals of the ratio not the angle.
What about the reciprocal functions? Recall: These are the reciprocals of the ratio not the angle. NOTE: DO NOT USE THE SIN-1, COS-1, or TAN-1 KEYS!!

5 Ex. Evaluate each trig function to four decimal places.
You want the reciprocal of the RATIO, not the ANGLE!

6 Using a Graphing Calculator to Approximate an Angle for All Six Trig Functions:
Up to this point, you have been given the angle and have found the ratio. Now you will be given the ratio and will find the angle.

7 How do you solve algebra equations?
RECALL: How do you solve algebra equations? You used inverse operations to solve these equations. When solving for angles in trig, you need to use inverse trig functions.

8 Recall: What is function notation? What is inverse function notation? Inverse Notation for Trig Functions:

9 sin 60 = _____ Given angle, asks for a RATIO Given ratio, asks for a ANGLE Use an inverse trig function to solve. Respond in degrees.

10 Ex. Evaluate. Round to nearest hundredth of a degree.

11 NOTE: Reciprocal of RATIO, not ANGLE.
Ex. Evaluate. State angle in degrees and minutes. NOTE: Reciprocal of RATIO, not ANGLE.

12 NOTE: Reciprocal of RATIO, not ANGLE.
Ex. Evaluate. State angle in radians. NOTE: Reciprocal of RATIO, not ANGLE.

13 In Class Assignment: Complete Calculator Worksheet Parts I – VI Textbook p ODDS #39 – 45, 53, 55


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