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| 1. |
If 4 tan =3,evaluate 4 sin-cos+1 4cos+cos-1 |
| Answer» 4tan = 3 ⇒ tan = 3/4we know, tan = perpendicular/baseso, after comparing , perpendicular = 3 and base = 4∴ hypotenuse = √(3² + 4²) = 5now, sin = perpendicular/hypotenuse = 3/5cos = base/hypotenuse = 4/5now, (4sin - cos + 1)/(4sin + cos - 1)= (4 × 3/5 - 4/5 + 1)/(4 × 3/5 + 4/5 - 1)= (12 - 4 + 5)/(12 + 4 - 5)= 13/11 | |