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Good day

can u help me to prove that:sin A/1+cosA +cot A =cosec A

Hi Joel,

You can start by simplifying sinA/(1 + cosA). Multiply top and bottom by 1 - cosA and you'll have;

sinA/(1 + cosA) = sinA . (1 - cosA) / (1 + cosA) . (1 - cosA)

= sinA . (1 - cosA) / (1 - cosČA)

= sinA . (1 - cosA) / sinČA

= (1 - cosA) / sinA

= (1/sinA) - (cosA/sinA)

= cosecA - cotA

Therefore,

sinA/(1 + cosA) + cotA = cosecA - cotA + cotA

= cosecA

Hope its clear enough.

Regards

Calculus

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