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If tan(2x + y) tan(2x – y) = 1, then the value of tan(2x)1. 1/√32. 13. 1/24. 0 |
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Answer» Correct Answer - Option 2 : 1 Given: Our given expression is tan(2x + y) tan(2x – y) = 1 Formula used: When A + B = 90° then, tanA tanB = 1 and vice versa Calculation: Our given expression is tan(2x + y) tan(2x – y) = 1 ⇒ 2x + y + 2x – y = 90° ⇒ 4x = 90° ⇒ 2x = 45° Now, tan2x = tan45° = 1 ∴ The value of tan45° is 1 |
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