Table of Contents
What are Trigonometric Ratios?
Trigonometric Ratios- Infinity learn: The trigonometric ratios are the ratios of the lengths of the sides of a right triangle to the length of the hypotenuse. The three most common ratios are sine, cosine, and tangent.
Trigonometric Ratios Definition
The trigonometric ratios are the six fundamental ratios that are used to calculate the angles and distances of points on a triangle. The six ratios are sine, cosine, tangent, cosecant, secant, and cotangent.
A Few Applications of Trigonometry
- Some specific applications of trigonometry include finding the height of a building, measuring the distance between two points, and calculating the size of a ship’s mast. Additionally, trigonometry is often used in navigation and in surveying.
- Trigonometry has many practical applications in the real world. It can be used to calculate distances, heights, and angles. It can also be used to solve problems in physics and engineering.
- One application of trigonometry is calculating distances. This can be done using the Pythagorean theorem, which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the length of the long side. This theorem can be used to calculate the distance between two points on a plane.
- Another application of trigonometry is calculating heights. This can be done using the sine, cosine, and tangent functions. These functions can be used to find the height of a point on a plane relative to another point.
- Angle measurements can also be made using trigonometry. This can be used to solve problems in physics and engineering. For example, it can be used to calculate the force of a wind gust or the torque of a motor.
Questions to be Solved on All Trigonometric Ratios
1.In a right angled triangle, the length of the hypotenuse is 10 units, and the length of one of the other sides is 6 units. What is the length of the other side?
Ans) The length of the other side is 4 units.
2. What is the value of sin(x) when x = pi/6?
Ans) The value of sin(x) when x = pi/6 is 1/2.
