Unit Circle Review - Commack Schools
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Trigonometry use after wednesday.notebook 1 January 22, 2021 Unit Circle Review Write everything you remember about the unit circle. Using the above information we can derive our first Trigonometric Identity. To do this we will use the Pythagorean Theorem.
Transcript of Unit Circle Review - Commack Schools
Trigonometry use after
wednesday.notebookJanuary 22, 2021
Unit Circle Review Write everything you remember about the unit circle.
Using the above information we can derive our first Trigonometric Identity.
To do this we will use the Pythagorean Theorem.
Trigonometry use after wednesday.notebook
January 22, 2021
Example 8: Using the Pythagorean identity, if π/2 < t < π and sin (t) = 2/3, find cos(t) and tan (t).
Trigonometry use after wednesday.notebook
January 22, 2021
Example 9: Using the Pythagorean identity, if π/2 < t < π and cos(t) = 3/√10, find sin(t) and tan(t).
Trigonometry use after wednesday.notebook
we can derive two others!
Trigonometry use after wednesday.notebook
Examples: 1) Use the Pythagorean identity to simplify the expression: tan2(t)cos2(t) + cos2(t).
2) Use the Pythagorean identity to simplify the
expression:
In other words, what does equal?
skip to notes packet
Trigonometry use after wednesday.notebook
Do Now:
How can we derive the double angle identities using our addition identity?
1) sin(2x) =
2) cos(2x) =
January 22, 2021
Example 1: Derive the identity for cos(3x) in terms of cosine and constants only.
Trigonometry use after wednesday.notebook
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Unit Circle Review Write everything you remember about the unit circle.
Using the above information we can derive our first Trigonometric Identity.
To do this we will use the Pythagorean Theorem.
Trigonometry use after wednesday.notebook
January 22, 2021
Example 8: Using the Pythagorean identity, if π/2 < t < π and sin (t) = 2/3, find cos(t) and tan (t).
Trigonometry use after wednesday.notebook
January 22, 2021
Example 9: Using the Pythagorean identity, if π/2 < t < π and cos(t) = 3/√10, find sin(t) and tan(t).
Trigonometry use after wednesday.notebook
we can derive two others!
Trigonometry use after wednesday.notebook
Examples: 1) Use the Pythagorean identity to simplify the expression: tan2(t)cos2(t) + cos2(t).
2) Use the Pythagorean identity to simplify the
expression:
In other words, what does equal?
skip to notes packet
Trigonometry use after wednesday.notebook
Do Now:
How can we derive the double angle identities using our addition identity?
1) sin(2x) =
2) cos(2x) =
January 22, 2021
Example 1: Derive the identity for cos(3x) in terms of cosine and constants only.
Trigonometry use after wednesday.notebook
Page 6
Page 7
Page 8
Page 9
Page 10
Page 11
Page 12
Page 13
Page 14
Page 15
Page 16
Page 17
Page 18
Page 19
Page 20
Page 21
Page 23
Page 25
Page 27
Page 28