Q:

# How Do You Use a Unit Circle With Tangent Chart?

A:

A unit circle can help solve values for the tangent of angles 30 degrees, 45 degrees and 60 degrees. Tan (θ) = x/y, sin (θ) = y and cos (θ) = x. By substituting x and y, tan (θ) = sin (θ)/cos (θ).

## Keep Learning

Credit: Jill Ferry Photography Moment Getty Images

The unit circle has a radius of 1, sin 30 = 1/2 and cos 30 = (√3)/2; thus, tan 30 = (1/2)/ (√3)/2 or √3/3. Tan 45 = ((√2)/2)/ ((√2)/2) or 1 and tan 60 = (√3)/2/ 1/2 or √3. While cos 90 = 0 and sin 90 = 1 tan 90 is unknown.

In trigonometry, the size of the angle theta is most important.

## Related Questions

• A: The trigonometric functions sine, cosine and tangent calculate the ratio of two sides in a right triangle when given an angle in that triangle. To find the... Full Answer >
Filed Under:
• A: Successfully working through trigonometry problems requires knowledge of the properties of triangles as well as the ability to measure and understand the r... Full Answer >
Filed Under:
• A: Find the tangent by dividing the length of the opposite side of a right triangle by the length of its adjacent side. The result of this equation is the tan... Full Answer >
Filed Under:
• A: The integral of sec(x) is the natural log of the absolute value of the secant of x plus the tangent of x, added to a constant. Using mathematical notation,... Full Answer >
Filed Under:
PEOPLE SEARCH FOR