6. Trigonometric Identities and More Equations
Solving Trigonometric Equations Using Identities
6. Trigonometric Identities and More Equations
Solving Trigonometric Equations Using Identities - Video Tutorials & Practice Problems
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Solve Trig Equations Using Identity Substitutions
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2
Problem
ProblemFind all solutions to the equation.
(cosθ+sinθ)(cosθ−sinθ)=−21
A
θ=125π+2πn,127π+2πn
B
θ=32π+2πn,34π+2πn
C
θ=3π+2πn,32π+2πn
D
θ=3π+πn,32π+πn
3
Problem
ProblemFind all solutions to the equation where 0 ≤ θ ≤ 2π.
sinθcos(2θ)−sin(2θ)cosθ=22
A
θ=45π,47π
B
θ=4π,43π
C
θ=45π+2πn,47π+2πn
D
θ=43π,47π
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