Express cosecA in terms of tanA
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cosec²A-cot²A=1
or, cosec²A=1+cot²A
or, cosec²A=1+1/tan²A
or, cosec²A=(tan²A+1)/tan²A
∴, cosecA=√(1+tan²A)/tanA
or, cosec²A=1+cot²A
or, cosec²A=1+1/tan²A
or, cosec²A=(tan²A+1)/tan²A
∴, cosecA=√(1+tan²A)/tanA
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