Question

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Answer 1

Answer:

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full solution in pic

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Answer 2

Answer:

given cot A = 4/5

to prove (sin A + cos A)/(sin A - cosA) = 9

as cot A = 4/5 = cos A/sin A = 4/5 (1)

let us divided through by sin A

LHS =>

(sin A/sin A+cos A/sin A)/sin A/sin A - cos A/sin A)

=> (1 + 4/5)/(1-4/5) [ substituting cosA/sinA = ,4/5 from equation 1 ]

=> (9/5)/(1/5)

=> 9/5 * 5/1

=> 9 = RHS hence proved