Trigonometry Worksheets

In these free math worksheets, students learn how to find the trig ratios: sine, cosine, and tangent.

There are five sets of Sine, Cosine, & Tangent worksheets:
Trigonometry Worksheet (Learn Adjacent, Opposite, & Hypotenuse)
Trigonometric Ratios Worksheets (Sine Ratio, Cosine Ratio, Tangent Ratio)

How to find Sine, Cosine, & Tangent worksheets?
In the context of trigonometry, the sides of a right triangle are often described in relation to an angle within the triangle. The common terms used are:

Hypotenuse: The side opposite the right angle. It is the longest side of the right triangle.

Opposite: The side opposite a specified angle. In other words, if you’re looking at one of the non-right angles, the side opposite that angle is called the “opposite” side.

Adjacent: The side adjacent to a specified angle. It is the side that is next to the angle but is not the hypotenuse.

Sine (sin), cosine (cos), and tangent (tan) are three fundamental trigonometric functions that describe the relationships between the sides and angles of a right triangle. These functions are widely used in mathematics and various scientific fields.

1. Sine (sin):
   In a right triangle, the sine of an angle (θ) is the ratio of the length of the side opposite the angle to the length of the hypotenuse.
   sin(θ)= Opposite/Hypotenuse
2. Cosine (cos):
   The cosine of an angle (θ) in a right triangle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
   cos(θ)= Adjacent/Hypotenuse
3. Tangent (tan):
   The tangent of an angle (θ) in a right triangle is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
   tan(θ)= Opposite/Adjacent

These functions are defined not only in the context of right triangles but also more broadly using the unit circle and as periodic functions. They have various applications in physics, engineering, computer science, and other fields where understanding the relationships between angles and sides is crucial.

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Sine, Cosine, & Tangent Worksheets.

More Sine, Cosine, & Tangent Worksheets

Printable
(Answers on the second page.)
Trigonometry Worksheet #1 (Adjacent, Opposite, & Hypotenuse)
Trig Ratios Worksheet #2 (Sin, Cos, Tan Ratios)
Trig Ratios Worksheet #3 (Sin, Cos, Tan Ratios)
Trig Ratios Worksheet #4 (Sin, Cos, Tan Ratios)
Trig Ratios Worksheet #5 (Sin, Cos, Tan Ratios)

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