Applications of Trigonometric Functions

This course gives an overview of the Applications of Trigonometry. It starts the discussion with the Law of Sines and using the various Law of Sines to solve triangles. The course provides problem-solving techniques to determine the area of a triangle when length of two slides and the included angle is provided. It talks about the concept of obtaining the area of triangles. The course progresses further with the introduction Law of Cosines to solve triangles and explains the concept of deciding whether Law of Sines or Law of Cosines is to be applied to solve a triangle.

11 topics

366 lectures

Educators

Course Curriculum

Equations and Inequalities

35 videos

Linear Equations and Functions

20 videos

Linear Equations and Inequalities

28 videos

Systems of Equations and Inequalities

25 videos

Matrices and Determinants

40 videos

Quadratic Equations

10 videos

Quadratic Functions

60 videos

50 videos

Introduction to Trigonometry

44 videos

Applications of Trigonometric Functions

15 videos

Graphing Trigonometry Functions

39 videos

Applications of Trigonometric Functions Lectures

Applications of Trigonometric Functions

Lawsof Cosines - Example 3

In mathematics, the law of cosines, also known as the cosine rule or the cosine formula, is a formula used to calculate the cosine of an angle in a triangle, given the lengths of the sides of the triangle and the angle itself. It is one of the basic facts in Euclidean geometry.

Whitney Dillinger

Applications of Trigonometric Functions

Findareaofatriangle

In geometry, the area of a triangle is the number of square units that compose the triangle. It is the base times the height of a triangle: A = b h where "b" is the length of the base (or "base") and "h" is the height (or "altitude"). The area can also be calculated using the Heron's formula: A = 1/2 bh where "b" is the length of the base and "h" is the height. This formula only works for right triangles. The area is also equal to the average of the lengths of the bases times the height: A=b h = 1/ 2 ( b + h ).

Whitney Dillinger

Applications of Trigonometric Functions

Lawsof Cosines

In mathematics, the law of cosines, also known as the cosine rule or the cosine formula, is a formula used to relate the sides of a triangle (or a polygon with three or more vertices) in Euclidean plane geometry. The law of cosines was known to ancient Indian and Babylonian mathematicians. The law of cosines was also known to ancient Chinese mathematicians, but the name of the law of cosines was given by European mathematicians.

Whitney Dillinger

Applications of Trigonometric Functions

Lawsof Sines

In trigonometry, the law of sines is a formula used to relate the sides of any triangle to the sines of its angles. The law of sines may be derived from vector addition of the angles and sides of a triangle.

Whitney Dillinger

Applications of Trigonometric Functions

Findtheareaofatriangle - Example 1

In mathematics, the area of a triangle is half the base times the height. It is a generalization of the concept of area in Euclidean geometry, where the base and height are the sides of the triangle and where the area is the length of any side times the area of the triangle.

Whitney Dillinger

Applications of Trigonometric Functions

Lawsof Cosines - Example 1

In mathematics, the law of cosines, also known as the cosine rule or the cosine formula, is a formula used to calculate the cosine of an angle in a triangle, given the lengths of the sides of the triangle and the angle itself. It is one of the basic facts in Euclidean geometry.

Whitney Dillinger

Applications of Trigonometric Functions

Lawsof Sines - Example 1

In trigonometry, the law of sines, also called the law of sines, is a trigonometric identity relating the sides of a triangle to the lengths of its three angles. The law of sines is a special case of the law of cosines, since cos(A) = sin(A) / sin(A).

Whitney Dillinger

Applications of Trigonometric Functions

Findtheareaofatriangle - Example 2

In mathematics, the area of a triangle is half the base times the height. It is a generalization of the concept of area in Euclidean geometry, where the base and height are the sides of the triangle and where the area is the length of any side times the area of the triangle.

Whitney Dillinger

Applications of Trigonometric Functions

Lawsof Cosines - Example 2

In mathematics, the law of cosines, also known as the cosine rule or the cosine formula, is a formula used to calculate the cosine of an angle in a triangle, given the lengths of the sides of the triangle and the angle itself. It is one of the basic facts in Euclidean geometry.

Whitney Dillinger

Applications of Trigonometric Functions

Lawsof Sines - Example 2

In trigonometry, the law of sines, also called the law of sines, is a trigonometric identity relating the sides of a triangle to the lengths of its three angles. The law of sines is a special case of the law of cosines, since cos(A) = sin(A) / sin(A).

Whitney Dillinger

Applications of Trigonometric Functions

Findtheareaofatriangle - Example 3

In mathematics, the area of a triangle is half the base times the height. It is a generalization of the concept of area in Euclidean geometry, where the base and height are the sides of the triangle and where the area is the length of any side times the area of the triangle.

Whitney Dillinger

Applications of Trigonometric Functions

Lawsof Sines - Example 3

In trigonometry, the law of sines, also called the law of sines, is a trigonometric identity relating the sides of a triangle to the lengths of its three angles. The law of sines is a special case of the law of cosines, since cos(A) = sin(A) / sin(A).

Whitney Dillinger

Applications of Trigonometric Functions

Lawsof Cosines - Example 4

In mathematics, the law of cosines, also known as the cosine rule or the cosine formula, is a formula used to calculate the cosine of an angle in a triangle, given the lengths of the sides of the triangle and the angle itself. It is one of the basic facts in Euclidean geometry.

Whitney Dillinger

Applications of Trigonometric Functions

Lawsof Sines - Example 4

In trigonometry, the law of sines, also called the law of sines, is a trigonometric identity relating the sides of a triangle to the lengths of its three angles. The law of sines is a special case of the law of cosines, since cos(A) = sin(A) / sin(A).

Whitney Dillinger

Applications of Trigonometric Functions

Findtheareaofatriangle - Example 4

In mathematics, the area of a triangle is half the base times the height. It is a generalization of the concept of area in Euclidean geometry, where the base and height are the sides of the triangle and where the area is the length of any side times the area of the triangle.

Whitney Dillinger