Question Bank - Mathematics

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Select the most appropriate option to solve the equation:(1 - 2Cos2 A)/(Sin A × Cos A) = ?

A.
tanA + cotA
B.
tanA - cotA
C.
secA - cosecA
D.
SecA + cosecA

Solution:

Given:(1 - 2Cos2 A)/(Sin A × Cos A)Formula used:Sin2 A = 1 - Cos2 ATan A = Sin A/Cos ACot A = Cos A/Sin ACalculation:(1 - 2Cos2 A)/(Sin A × Cos A) = (1 - Cos2 A - Cos2 A)/(Sin A × Cos A)? (Sin2 A - Cos2 A)/(Sin A × Cos A)? {Sin2 A)/(Sin A × Cos A)} - {(Cos2 A)/(Sin A × Cos A)}? (Sin A/Cos A) - (Cos A/Sin A)? Tan A - Cot A? Option (2) is the correct answer.

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