Question

Cos A. Cosec A - sin A. SecA /
cos A +sin A =

Answer 1

Answer:

(cos A cosec A - sin A sec A)/(cos A + sin A)  = CosecA - SecA

Step-by-step explanation:

prove that

(cos A cosec A - sin A sec A)/(cos A + sin A)  =  cosec A- sec A

LHS = (cos A cosec A - sin A sec A)/(cos A + sin A)

= (CosA /SinA  - SinA/CosA) /(CosA + SinA)

= ( (Cos²A - Sin²A)/SinACosA) /(CosA + SinA)

= ( (cosA + SinA)(CosA - SinA)/SinACosA) /(CosA + SinA)

= (CosA - SinA)/SinACosA

= CosA/SinACosA - SinA/SinACosA

= 1/SinA - 1/CosA

= CosecA - SecA

= RHS

QED

Proved

Step-by-step explanation:

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