If ≤ft(A/2) = x , then the value of x is: - Quantitative Aptitude MCQ Competitive Exams 2026 | ExamTest.live

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If tan (\frac{A}{2}) = x, then the value of x is:

Solution & Step-by-step Explanation

From trigonometric half-angle identities, we know: 1 - cos A = 2 sin^{2} (\frac{A}{2}) 1 + cos A = 2 cos^{2} (\frac{A}{2}) Dividing the two equations: \frac{1 - cos A}{1 + cos A} = \frac{2 sin ^{2} ( \frac{A}{2} )}{2 cos ^{2} ( \frac{A}{2} )} = tan^{2} (\frac{A}{2}) Taking the square root on both sides: tan (\frac{A}{2}) = \frac{1 - cos A}{1 + cos A} Since tan (\frac{A}{2}) = x : x = \frac{1 - cos A}{1 + cos A}

Try it yourself before checking the explanation above.

If tan (\frac{A}{2}) = x, then the value of x is:

\sqrt{\frac{1+\cos A}{1-\cos A}}

\frac{1-\cos A}{1+\cos A}

\frac{1+\cos A}{1-\cos A}

\sqrt{\frac{1-\cos A}{1+\cos A}}

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