SOLUTION: What expression is equivalent to tan θ-(sec θ/sin θ). Thank You

SOLUTION: What expression is equivalent to tan θ-(sec θ/sin θ). Thank You

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Question 42450: What expression is equivalent to tan θ-(sec θ/sin θ).
Thank You
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
tan q - (sec q / sin q) =
(sin q / cos q) - (1 / sin q cos q) =
(sin^2 q / sin q cos q) - (1 / sin q cos q) =
sin^2 q - 1 / sin q cos q
- cos^2 q / sin q cos q =
- cos q / sin q =
- cot q
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