Prove cotA-cosec2A=cot2A

Steps to prove cotA-cosec2A=cot2A

Take L.H.S cotA-cosec2A

=cotA-cosec2A

=cosA/sinA-1/sin2A

=2cos^2A-1/2sinA.cosA

=cos2A/sin2A

=cot2A

=R.H.S

Hence cotA-cosec2A=cot2A is proved.

Detail Information:-

Similar questions for you:- 

• Prove that tan75+cot75=4
• Prove that cot2A=cot^2A-1/2cotA
• Prove that cotA-tanA/cotA+tanA=cos2A
• Prove that cotA-tanA=2cot2A