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L22_blanks

# L22_blanks - Ex Find all solutions for Ex Now find just the...

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1 Day 26 Lecture 22 for 4/12/2011 L19 – Don’t Forget the Basics 3. Pythagorean Identities: L20 – STEPS for Simple(r) Trig. Equations 1) First, Isolate the trig. function. 2) Solve for the angles in just one cycle. 3) Add “ K times the Period “ to your solution to make the general solution . This is a formula that specifies all solutions. Sometimes… 4) You may need to make a list by plugging in values of K. 5) You may be able to combine two solution formulas into one. Slide: 2 of 12 is 0

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2 L22 – Multiple Angles and Composition Suppose you encounter an equation with an expression inside the trig function. 1) Get the Equation into a simple form … i.e. Isolate the trig function [This may require factoring and using identities] 2) Temporarily substitute a Ɵ or u for the expression and 3) Rewrite the original E.Q. 4) Solve the simpler equation as normal, don’t forget the k times the period. 5) Last, change your substitution back and solve the subsequent equation Slide: 3 of 12 is 0 L22 – Multiple Angles and Composition

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Unformatted text preview: Ex: Find all solutions for . Ex: Now find just the ones in the interval [ 0, 2π )… Slide: 4 of 12 is 0 3 L21 – One More Time… Ex: Find all solutions for . Ex: Now find just the ones in the interval [ 0, 4π )… Slide: 5 of 12 is 0 L22 – …A pinch of Inverse Trig. Functions Ex: Solve Slide: 6 of 12 is 0 4 L22 – Sum and Difference Intro. Memorize and or learn how to derive. The arrows indicate the order you can derive them. Slide: 7 of 12 is 0 L22 – Find the Exact Value Ex: 1) 2) 3) 4) 5) Slide: 8 of 12 is 0 5 L22 – Find the Exact Value Ex: If , and both and are in quadrant IV, find the exact value of… 1) 2) Slide: 9 of 12 is 0 L22 – Inverse Trig. Problems hit Rock Bottom! Ex: Write as an algebraic expression. Ex: Verify the identity… Slide: 10 of 12 is 0 6 L22 – Old Problems, New Details. Ex: Solve on the interval . Slide: 11 of 12 is 0 L22 – Double Angle Identities Ex: Derive… Slide: 12 of 12 is 0...
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L22_blanks - Ex Find all solutions for Ex Now find just the...

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