Download 6.1 Solving Trigonometric Equations Recall: Adding and subtracting

6.1 Solving Trigonometric Equations
Recall: Adding and subtracting like terms!
Feb 10­9:40 AM
Solve some equations:
Find ALL degree solutions:
1. 2 cos θ = 1
Feb 10­9:42 AM
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You try:
Find ALL degree solutions:
1. 2 tan θ + 2 = 0
Feb 10­9:45 AM
A little harder: Find all RADIAN solutions in [0, 2
π] for
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Find all degree solutions:
4 cos θ ­ 1 = 3 cos θ + 4
Feb 10­9:52 AM
Recall Zero Product Property:
Solve and find ALL radian solutions between [0, 2
π]
(cos x ­ 1)(2 cos x ­ 1)= 0
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Find all degree solutions:
tan θ ­ 2 cos θ tan θ = 0
Feb 10­9:53 AM
Example: Find all radian solutions.
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Sometimes the problems don't factor nicely. If it is a quadratic, • use the quadratic formula to solve for the function • then use the inverse function to find the reference angle
• use the reference angle to get the final answers in the appropriate quadrants
Example:
1 ­ 4 cos
Solve for all radian solutions:
A = ­2cos
2
A
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Feb 10­9:55 AM
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