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Question
tan θ cosec2 θ – tan θ is equal to
Options
sec θ
cot2 θ
sin θ
cot θ
Solution
cot θ
Explanation;
Hint:
tan θ cosec2 θ – tan θ = tan θ (cosec2 θ – 1)
= `tan theta xx cot^2 theta`
= `1/cot theta xx cot^2 theta`
= cot θ
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