Session 15. Agenda: Questions from 8.1-8.2? 8.3 – Trigonometric Identities 8.4 – Graphs of Trigonometric Functions 8.5 – Inverse Trigonometric Functions Things to do before our next meeting. Questions?. 8.3 – Trigonometric Identities. Summary of Trig Identities Already Seen:.
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Agenda:
For any x, find the value of:
value of .
in terms of x.
where k is any odd integer.
cosecant is shown below along with the graph of sine.
where k is any integer.
below along with the graph of cosine.
where k is any odd integer.
where k is any integer.
-- Shift the graph of cosine to the left 3 and then vertically stretch by a factor of 3.
-- Shift the graph of sine to the right 2 and then reflect the graph across the x-axis.
-- Reflect the graph of tangent across the y-axis and then shift the graph up 4 units.
The graph was stretched horizontally.
The second thing done is to The last thing to be done shift the graph to the right . is to reflect the graph across the x-axis.
you must first factor out the 3 to obtain .
This would give you a period of and a shift left of .
Domain: (0, π) Domain: (-∞, ∞)
Range: (-∞, ∞) Range: (0, π) [Quad. I and II
on unit circle.]