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If cos 37˚ = a/b then what is the value of cosec37˚ - cos53˚ = ?

If cos 37˚ = a/b then what is the value of cosec37˚ - cos53˚ = ? Correct Answer a<sup>2</sup>/b√(b<sup>2</sup> - a<sup>2</sup>)

cos 37° = a/b

sin 37° = √(b2 - a2)/b        ----(i)

cosec37° - cos53° = 1/sin 37° - sin 37°

(1 - sin2 37˚)/ sin 37= a2/b√(b2 - a2) (from (i)

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