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Question

Cot theta - tan theta? 


Solution

=2cot 2 theta

Explanation 


Here i use 'x'  instead of theta 
Use the double angle formula for 
tan(x)  and use the fact that cot x=1/tanx

Tan (2x) =2tanx /1-tan^2x

2cot (2x) =2 *1/tan(2x)

    =2 *(1-tan^2x)/2tanx

=1/tanx  - tan^2x /tanx 

=cotx - tanx

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