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.
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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