Question

cot A*cos A/1+sin A=cosec A-1​

Answer 1

Step-by-step explanation:

cotA*cosA/1 +sinA =cosecA-1

taking LHS

cosA/sinA×cosA/1+sinA

cosA^2/sinA (1+sinA)

1-sin^2A/ sinA (1+sinA)

(1+sinA)(1-sinA)/ sinA (1+sinA)

1-sinA/sinA

1-1/cosecA / 1/cosecA

cosecA-1/cosecA / 1/cosecA

cosecA-1 /1

cosecA-1 =RHS

Hence Proved

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