Question
The expression of (cot Īø + cosec Īø ā1) / (cot Īø ā
cosec Īø+1) is equal toSolution
(CotĪø + CosecĪø ā 1) / (CotĪø ā CosecĪø + 1) we know that [ āµ Cosec2Īø ā cot2Īø = 1] => (CotĪø + CosecĪø ā (Cosec2Īø ā cot2Īø)) / (CotĪø ā CosecĪø + 1) => (CotĪø + CosecĪø ā (CosecĪø + cotĪø) (CosecĪø - cotĪø)) / (CotĪø ā CosecĪø + 1) => (CotĪø + CosecĪø (1 ā CosecĪø + cotĪø)) / (CotĪø ā CosecĪø + 1) => (CotĪø + CosecĪø) => (CosĪø / SinĪø) + (1 / SinĪø) = (CosĪø + 1) / (SinĪø)
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