← Back to Trigonometric Ratios

Trigonometric Ratios - Worksheet 1 - 10th Grade

Easy

Define and apply sine, cosine, and tangent in right triangles (Easy)

20 problems · 20-25 minutes · Skills: trigonometry, right triangles, ratios

About This Worksheet

This easy-level worksheet contains 20 problems designed for 10th Grade students practicing trigonometric ratios. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.

Trigonometric ratios are one of the most powerful tools in all of mathematics, connecting angles to lengths in a way that enables calculation of distances, heights, and positions that cannot be measured directly. They are the gateway to a vast portion of mathematics — from the unit circle to Fourier analysis — and have applications in every field of science and engineering.

  • Define sine, cosine, and tangent as ratios of sides in a right triangle using SOH-CAH-TOA
  • Write the six trigonometric ratios for an acute angle given a right triangle
  • Use a calculator to evaluate trig ratios and inverse trig functions for any acute angle
  • Use reciprocal ratios (cosecant, secant, cotangent) to solve for missing sides
  • Identify co-function relationships between complementary angles

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
3 + 2 =
2
5 + 2 =
3
1 + 2 =
4
1 + 1 =
5
2 + 3 =
6
2 + 2 =
7
3 + 4 =
8
5 + 3 =
9
5 + 2 =
10
5 + 2 =
11
5 + 2 =
12
5 + 3 =
13
2 + 2 =
14
4 + 3 =
15
2 + 2 =
16
3 + 3 =
17
5 + 4 =
18
5 + 5 =
19
3 + 5 =
20
5 + 1 =

Answer Key

1. 52. 73. 34. 25. 56. 47. 78. 89. 710. 711. 712. 813. 414. 715. 416. 617. 918. 1019. 820. 6

Frequently Asked Questions

How do I download this trigonometric ratios - worksheet 1 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this right triangle trigonometry worksheet cover?

This worksheet focuses on trigonometry, right triangles, ratios. It is designed for 10th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 20 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.