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If tan(x + y) × tan(x – y) = 1, then find the value of tanx. |
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Answer» Correct Answer - Option 3 : 1 Given: tan(x + y) × tan(x – y) = 1 Concept used: If tanA × tanB = 1, then A + B = 90° Calculation: tan(x + y) × tan(x – y) = 1 ⇒ x + y + x – y = 90° ⇒ 2x = 90° ⇒ x = 45° ⇒ tan45° = 1 ∴ tan45° is 1. |
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