1.

If tan(2x + y) tan(2x – y) = 1, then the value of tan(2x)1. 1/√32. 13. 1/24. 0

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



Discussion

No Comment Found

Related InterviewSolutions