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Do Now: Verify the x-value is a solution. Pre-Calculus Honors 5.3: Solving Trig Equations. HW: p.373-374 (10, 28, 32, 38, 40, 46, 50, 62, 66). How to solve a trig equation. Use standard algebraic techniques such as collecting like terms and factoring.
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Pre-Calculus Honors5.3: Solving Trig Equations HW: p.373-374 (10, 28, 32, 38, 40, 46, 50, 62, 66)
How to solve a trig equation • Use standard algebraic techniques such as collecting like terms and factoring. • Your preliminary goal is to isolate the trig function.
Solve for x. What would your solution be if the domain wasn’t restricted?
Solve for x. Collect Like Terms
Find all solutions of the equation. Extract Square Root
Solve for x. Factor
Solve for x. Factor
Solve for x. Rewrite with a single trig function: use identities.
Solve for x. Rewrite with a single trig function: start by squaring both sides.
Solve for x. Functions of multiple angles: solve for 3x first.
Find all solutions. Functions of multiple angles: solve for x/2 first.
Find all solutions. Using inverse.
Pre-Calculus Honors5.3: Solving Trig Equations HW: p.373-374 (10, 28, 32, 38, 40, 46, 50, 62, 66)