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#### Description:

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: In the triangle pictured above show that \left(\frac{|AB|}{|AC|}\right)^2 + \left(\frac{|BC|}{|AC|}\right)^2 = 1 Deduce that \$\sin^2{\theta} + \cos^2{\...

#### Subjects:

• Mathematics > General
• Education > General

#### Keywords:

Informal Education,NSDL,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-103,High School,Vocational/Professional Development Education,Mathematics,Education,oai:nsdl.org:2200/20140110185514437T

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Update Standards?

#### CCSS.Math.Content.HSF-TF.C.8: Common Core State Standards for Mathematics

Prove the Pythagorean identity sin²(?) + cos²(?) = 1 and use it to find sin(?), cos(?), or tan(?) given sin(?), cos(?), or tan(?) and the quadrant of the angle.
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