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Tell me about trigonometric functions

Jun 23, 2024

Tell me about trigonometric functions

Solution by Steps

step 1

Trigonometric functions are functions of an angle. They relate the angles of a triangle to the lengths of its sides. The primary trigonometric functions are sine (

\sin

), cosine (

\cos

), and tangent (

\tan

)

step 2

The sine function (

\sin

) of an angle in a right triangle is the ratio of the length of the opposite side to the hypotenuse. Mathematically,

\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}

step 3

The cosine function (

\cos

) of an angle in a right triangle is the ratio of the length of the adjacent side to the hypotenuse. Mathematically,

\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}

step 4

The tangent function (

\tan

) of an angle in a right triangle is the ratio of the length of the opposite side to the adjacent side. Mathematically,

\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}

step 5

These functions are fundamental in trigonometry and are used to solve problems involving right triangles and to model periodic phenomena

Answer

Trigonometric functions relate the angles of a triangle to the lengths of its sides and are fundamental in solving problems involving right triangles.

Key Concept

Trigonometric Functions

Explanation

Trigonometric functions such as sine, cosine, and tangent are used to relate the angles of a triangle to the lengths of its sides. They are essential in solving problems involving right triangles and modeling periodic phenomena.