Sec square A is identical to cosec A÷(cosec A - sin A)
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RHS= cosec A ÷(cosecA - SinA)
=> cosecA ÷((1/sinA)-sinA)
=>cosecA÷(1-sin²A/sinA)
=>cosecA ÷(cos²A/sinA)
=>1/sinA ÷ (cos²A/sinA)
=> 1/cos²A
=> sec²A
so yes, Sec square A is identical to cosec A÷(cosec A - sin A)
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