The value of cotx-tanxcot2x is
1
2
-1
4
Explanation for the correct option:
Find the required value.
cotx-tanxcot2x=cosxsinx-sinxcosxcos2xsin2x
=cos2x-sin2xsin2xsinxcosxcos2x=2cos2xsin2x2sinxcosxcos2x∵cos2x-sin2x=cos2x=2sin2xsin2x∵2sinxcosx=sin2x=2
Hence, option (B) is the correct answer.