Law of Sines & Cosines - Worksheet 8 - 10th Grade
HardApply the law of sines and law of cosines to oblique triangles (Hard)
23 problems · 25-30 minutes · Skills: trigonometry, law of sines, law of cosines
About This Worksheet
This hard-level worksheet contains 23 problems designed for 10th Grade students practicing law of sines & cosines. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.
The Law of Sines and Law of Cosines extend trigonometry beyond right triangles to all triangles, dramatically expanding what can be calculated. These tools are used in navigation, structural engineering, and game physics, and they connect to the deeper theory of trigonometric identities and the geometry of the unit circle.
- Apply the Law of Sines to solve oblique triangles
- Apply the Law of Cosines to find missing sides or angles in any triangle
- Determine which law to apply given AAS, ASA, SSA, SAS, or SSS information
- Identify the ambiguous SSA case and determine how many triangles are possible
- Calculate the area of any triangle using the formula involving two sides and an angle
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this law of sines & cosines - worksheet 8 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, law of sines, law of cosines. 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 23 problems. It typically takes 25-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.