Question Bank - Mathematics

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

A.
sec A + tan A
B.
sec A - tan A
C.
cosec A + cot A
D.
cosec A - cot A

Solution:

Given:The equation = Cos A/(1 - Sin A)Formula Used:Sin2? + Cos2? = 1Calculation:According to the question, we haveCos A/(1 - Sin A) ....(1)Now, multiply in the numerator and denominator of the equation (1) by (1 + Sin A) = {Cos A × (1 + Sin A)}/{(1 - Sin A)(1 + Sin A)}? {Cos A × (1 + Sin A)}/(1 - Sin2 A)? {Cos A × (1 + Sin A)}/Cos2 A? (1 + Sin A)/Cos A? Sec A + Tan A? The answer of the given equation is Sec A + Tan A.

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