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Prove that: cos e c(tan^(-1)("cos"(cot^(...

Prove that: `cos e c(tan^(-1)("cos"(cot^(-1)("sec"(sin^(-1)a)))))=sqrt(3-a^2),` where `a in [0,1]`

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Here `x = cosec (tan^(-1) (cos (cot^(-1) (sec (sin^(-1) a)))))`
`=cosec (tan^(-1) (cos (cot^(-1) ((1)/(sqrt(1 - a^(2)))))))`
`= cosec(tan^(-1) ((1)/(sqrt(2 - a^(2)))))`
`= sqrt(3 - a^(2))`
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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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