Question

cot A-cosec 2A=cot 2A

Answer 1

cotA -cosec(2A) 

=cosA/sinA - 1/sin(2A) 

=cosA/sinA - 1/(2sinAcosA) 

=(2cos²A-1)/2sinAcosA 

=cos(2A)/sin(2A) 

=cot(2A)

i hope help you

Answer 2

=cos A/sin A- 1/sin2A

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

=2sinA.cos²A-sinA/2sin²A.cosA

=sinA(2cos²A-1)/sinA(2sinA.cosA)

=2cos²A-1/2sinA.cosA

=cos2A/sin2A

=cot2A

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