tan^3 θ - 4tan θ / tan θ + 2
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Answer:
tan^2 θ - 2 tan θ
Step-by-step explanation:
Given tan^3 θ - 4tan θ / tan θ + 2
= tan θ (tan^2 θ - 4 ) / tan θ + 2
= tan θ (tan θ + 2) ( tan θ - 2)/ tan θ + 2
= tan θ ( tan θ - 2)
= tan^2 θ - 2 tan θ
tan^3 θ - 4tan θ / tan θ + 2 = tan^2 θ - 2 tan θ
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