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Area of a Triangle, precalculu? At grade

This lesson covers how to find the area of a triangle using sine.

It is an educational content of CK-12 Foundation (to access some of the CK-12 contents you must be logged in).

Trigonometrical ratios

As Thales' theorem tells us, trigonometrical ratios of an angle do not depend on the right-angled triangle we choose. Therefore, we can choose a right-angled triangle whose hypotenuse is the radius of ...

Trigonometric Ratios: sine, cosine and tangent

You'll learn the basic concepts of trigonometry: sine, cosine and tangent.

Trigonometric Ratios is an educational content from Sangakoo, a social network that helps you to learn Mathematics.

Using Sine to Calculate the Area of a Triangle

"Using the standard formula for the area of a triangle, we can derive a formula for using sine to calculate the area of a triangle. Using sine to calculate the area of a triangle means that we can fin ...

Inverse Trigonometric Functions

"Once we understand the trigonometric functions sine, cosine, and tangent, we are ready to learn how to use inverse trigonometric functions to find the measure of the angle the function represents. In ...

Inverse Sine Function

"Since sine is not a one-to-one function, the domain must be limited to -pi/2 to pi/2, which is called the restricted sine function. The inverse sine function is written as sin^-1(x) or arcsin(x). I ...

The Law of Sines

"One method for solving for a missing length or angle of a triangle is by using the law of sines. The law of sines, unlike the law of cosines, uses proportions to solve for missing lengths. The ratio ...

Tangent Ratios

"Right triangles have ratios that are used to represent their base angles. Tangent ratios, along with cosine and sine ratios, are ratios of two different sides of a right triangle. Tangent ratios are ...

Tangent Function

"In right triangle trigonometry (for acute angles only), the tangent is defined as the ratio of the opposite side to the adjacent side. The unit circle definition is tan(theta)=y/x or tan(theta)=sin(t ...

Graphing Reciprocal Trigonometric Functions

"The three cofunction identities are useful because they can be used to convert, for example, sine into cosine or any trig function into its cofunction. When graphing reciprocal trigonometric function ...

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