Trigonometric Functions and Unit Circle

It helps in solving algebra problems.

It is used to find trigonometric ratios without a calculator.

It is used to calculate logarithms.

It is essential for geometry proofs.

To find the area of a circle.

To calculate the perimeter of polygons.

To determine sine, cosine, and tangent values.

To solve quadratic equations.

√2/2

0.5

√3/2

1

Adjacent over hypotenuse

Opposite over hypotenuse

Opposite over adjacent

Hypotenuse over adjacent

(1, 0)

(0, -1)

(-1, 0)

(0, 1)

1

√3/2

0.5

√2/2

√2/2

√3/2

0.5

1

First quadrant

Second quadrant

Third quadrant

Fourth quadrant

To solve calculus problems

To memorize all trigonometric values

To understand the relationship between angles and trigonometric functions

To calculate the area of a triangle