Trignometry

Quantitative Aptitude ( CCS)

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What is the value of [sin(90° - A) + cos(180° - 2A)] / [cos(90° - 2A) + sin(180° - A)]?

sin(A/2).cosA

cot(A/2)

tan(A/2)

sinA.cos(A/2)

Explanation:

⇒ [sin(90° - A) + cos(180° - 2A)] / [cos(90° - 2A) + sin(180° - A)]
⇒ (cosA - cos2A) / (sin2A + sinA)
⇒ [2sin{(A + 2A)/2}.sin{(2A - A)/2}] / [2sin{(A + 2A)/2}.cos{(2A - A)/2}]
⇒ (sin 3A/2) / (sin 3A/2) × (sin A/2) / (cos A/2)
⇒ tan(A/2)

By: MIRZA SADDAM HUSSAIN

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