How to Calculate an Angle Using Trigonometric Functions
Learn how to calculate angles using sine, cosine, and tangent in triangles with step-by-step examples.
0 views
To calculate an angle, you can use basic trigonometric functions like sine, cosine, or tangent in right-angled triangles. For example, if you know the lengths of the opposite side and the adjacent side, you can use the tangent function. The formula is: tan(angle) = opposite/adjacent. Use an inverse tangent function (arctan) on a calculator to find the angle. Alternatively, if you know two sides or an angle and a side in other triangle types, the Law of Sines or Cosines can be applied.
FAQs & Answers
- What is the tangent function? The tangent function relates the opposite side of a right triangle to the adjacent side and is crucial in calculating angles.
- How do I use the Law of Sines? The Law of Sines allows you to find unknown angles or sides in any triangle when you know some sides and their opposite angles.
- What is the difference between sine, cosine, and tangent? Sine and cosine relate to the ratios of sides in a right triangle, while tangent is the ratio of sine to cosine.