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.

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

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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