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Using Unit Circles to Relate Right Triangles to Sine & Cosine

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

The radius of a unit circle is _____.

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1. If theta of a right triangle on the unit circle is θ = 0, then what is the cosine of theta (θ)?

2. Consider a right triangle on the unit circle. If theta (θ) is 90, then cos(θ) is _____.

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About This Quiz & Worksheet

Using this quiz and attached worksheet, you can evaluate how well you understand sine and cosine. The quiz will assess your understanding of concepts like adjacent and hypotenuse.

Quiz & Worksheet Goals

Use these assessment tools show you can:

  • Identify the radius of a unit circle
  • Identify cosine in relation to a right triangle on the unit circle
  • Calculate the sine and cosine of an angle in a right triangle

Skills practiced

This worksheet and quiz let you practice the following skills:

  • Critical thinking - apply relevant concepts to examine information about right triangles in a different light
  • Problem solving - use acquired knowledge to solve sine and cosine practice problems
  • Interpreting information - verify that you can read information regarding the unit circle and interpret it correctly
  • Knowledge application - use your knowledge to answer questions about the hypotenuse of triangles

Additional Learning

To learn more about sine, cosine and the unit circle, review the lesson called Using Unit Circles to Relate Right Triangles to Sine & Cosine, which covers the following objectives:

  • Defining right triangles
  • Defining unit circle
  • Using sine and cosine
  • Identifying unit circle triangles
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