find y''if (a) x= cosec x and (b) y= sec x . find the double differentiation. <br /><br />plz answer it fast, it's urgent!!! <br />I'll mark brainliest if the answer is correct and step by step .
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Explanation:y = cosec(x)
y'' = -cosec(x)cot(x)
y'' = cosec(x)cot2 (x) + -cosec(x) * -cosec2 (x)
= cosec(x)(cot2 (x) + cosec2 (x))
Use the identity, cot2 (x) = cosec2 (x) - 1
= cosec(x)((cosec2 (x) - 1) + cosec2 (x))
= cosec(x)(2cosec2 (x) - 1)
= 2cosec3 (x) - cosec(x)
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