Unit circle intro to pyth identity Day 2...sin2A+ cos2A=1 tana A + 1 sec2A 1 + cot2 A — csc2 A In...
Transcript of Unit circle intro to pyth identity Day 2...sin2A+ cos2A=1 tana A + 1 sec2A 1 + cot2 A — csc2 A In...
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Unit circle intro to pyth identity Day 2 May 17, 2017
In Math 2, you need to know the highlighted part.
The UNIT CIRCLEAll are unique points
located on the coordinate plane
to make a circle with the radius of 1.
For each of the following angles drawn in standard position, give the coordinate pair from the unit circle.
A B1200 4950
For each of the following angles drawn in standard position, give the coordinate pair from the unit circle.
A B
θ
* Start by label the parts with hyp, opp, adjWe will prove sin2 θ + cos2 θ = 1, using the Pythagorean Theorem.
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Unit circle intro to pyth identity Day 2 May 17, 2017
The Pythagorean Identities in Trigonometry are: sin2 θ + cos2 θ = 1
tan2 θ + 1 = sec2 θ
1 + cot2 θ = csc2 θ
We will only focus on one for the class.sin2 θ + cos2 θ = 1
sin2 θ + cos2 θ = 1 sin2 θ + cos2 θ = 1
Given that where find Whiteboards
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Attachments
Using Pythagorean Identity wksht.docx
NAME:_________________________________ Row# ____________
Using a Pythagorean Identity
lesson
18-5
Practice and Problem Solving: Modified
Use the given value to calculate the values of the indicated trigonometric functions. Round your answers to three decimal places.
1.Given that cos 0.5, where 0 90o , find sin
2.Given that cos 0.707, where 0 90o , find sin
Solve.
3.
4.
IM2 Pythagorean Identity
.
q
q
SMART Notebook
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