These worksheets will teach your students how to find sines, cosines, and tangents of triangles.

What Are the Functions: Cos, Sin, and Tan? Cos - Cos function, or as some people call it cosine function in every triangle, is that ratio which is spotted on the opposite side of the hypotenuse of that same triangle. The cos function is considered as one of the three primary parts of trigonometry and is also a component of the sine (i.e., co + sine) Sin - The sin in the right-angle triangle can be found by dividing the length of the opposite side by size of the hypotenuse. The sine function, alongside with tangent and so sine, is among the three most usual and ordinary trigonometric functions. In the right-angled triangle, the sine of the desired angle is the length of the hypotenuse separates the distance of the opposite side. The sine is written without the 'e' as 'sin' in the formula. Tan - The tan is basically sin(x)cos(x) and hence the tan function is not identified whenever cos(x)=0. Likewise, the sin function and tangent function become zero as soon as the integer of both of them becomes a multiple of π.

When we work with triangles a helpful acronym to learn is SOH-CAH-TOA. These relate the various sides of a triangle: Adjacent, Hypotenuse, and Opposite sides. The Adjacent side is next to the angle theta. The Hypotenuse is the longest side. The Opposite side is the side that is directly opposite angle theta. Using the main functions of trigonometry Sine, Cosine, and Tangent; we can determine missing sides with the help of that acronym. (SOH) Sine theta is equal to the Opposite side divided by the Hypotenuse. (CAH) Cosine theta is equal to the Adjacent side divided by the Hypotenuse. (TOA) Tangent theta is equal to the Opposite side divided by the Adjacent side. This set works with triangles of various sizes and amplitudes. Your students will use these activity sheets to practice calculating the sine, cosine, and tangent for various triangles, as well as using those values to determine leg length. This is a heavy engineering unit.

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Print Using Cos, Sin, and Tan Worksheets

Click the buttons to print each worksheet and associated answer key.

Tangents Solve for X Lesson

This worksheet explains how to solve for a side of a triangle. A sample problem is solved, and two practice problems are provided.


Students will solve for the cosine of one point to help you determine a side of a triangle. Ten problems are provided.


Students will use the tangent to solve for a missing value along the way. Ten problems are provided.

Review and Practice

Students review how to solve for various missing parts of a triangle. Six practice problems are provided.

My Quiz

You will plow through various triangles always finding a point that matters to the worksheet maker person. Ten problems are provided.

Skills Check

This is a really cool way to go about these problems for yourself. Three problems are provided, and space is included for students to copy the correct answer when given.

Lesson Sine of Single Point

Find the value of Sine J. Here, opposite side to J is HG, GJ is adjacent side, and HJ is the hypotenuse.

Sine of a Point Worksheet 1

Use the given measures to find the desired point.

Worksheet 2

More practice on the same skill.

Review Sheet

A complete problem is worked out for you. Use it as inspiration to finish up the other six problems.


The same skill in assessment form for your students.

Do Now

This can be used to review or introduce this skill as a class.

Find the Tangent of One Point: Lesson

:tan theta = opposite side/ adjacent side

Tangent of Points Worksheet 1

Find the Tan of all given points.

Worksheet 2

Devour the point of the Tan.

Review Sheet

Here; opposite side to V is ZB. ZV is adjacent side, and VB is the hypotenuse.

Quiz Using Tan

All right triangles for you to beat on.

Do Now

A solid warmup sheet for students.

Tangents find the value of x: Lesson

The key is to replace all the given values in the formula.

Worksheet 1

Get at it with this skill now.

Worksheet 2

Another go around with this topic.

Review Sheet

Here, opposite side to V is ZB, ZV is adjacent side, VB is the hypotenuse.


A quick test of where your students stand with this skill.

Do Now

We would highly recommend you do this as a class.