tan(-0) - Show that = sin 0. For each step in sec 0 your process, explain what identity you are using to take that step, using the vocabulary in Week

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 72E
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tan(-0)
• Show that
= sin 0. For each step in
sec 0
your process, explain what identity you are using
to take that step, using the vocabulary in Week
6 Video 2 to describe the identities.
• Solve the equation cot? 0 – 3 csc 0 = 2 for all
solutions 0, showing all steps in your process.
Use set notation and k E Z to index your
solutions. Leave your answers in exact form (for
example, square roots and inverse trigonometric
functions), but you may include decimal
approximations if it helps you verify your
solutions graphically using technology.
• Solve the equation sin 0 + 3 cos 0 = 1 for
0€ [0, 2л).
• There are at least three different ways to solve
2
the equation (sec (20) – 1)
9 using
different combinations of the strategies in this
unit.
o Find at least two of those paths and solve for
0 E [0, 2x). Let v = 20 in both paths.
What interval is v in to get 0 E [0, 2x)?
- One path should include a Pythagorean
identity but no factoring.
· Another path should include factoring
(another substitution may help here) but
not a Pythagorean identity.
Transcribed Image Text:tan(-0) • Show that = sin 0. For each step in sec 0 your process, explain what identity you are using to take that step, using the vocabulary in Week 6 Video 2 to describe the identities. • Solve the equation cot? 0 – 3 csc 0 = 2 for all solutions 0, showing all steps in your process. Use set notation and k E Z to index your solutions. Leave your answers in exact form (for example, square roots and inverse trigonometric functions), but you may include decimal approximations if it helps you verify your solutions graphically using technology. • Solve the equation sin 0 + 3 cos 0 = 1 for 0€ [0, 2л). • There are at least three different ways to solve 2 the equation (sec (20) – 1) 9 using different combinations of the strategies in this unit. o Find at least two of those paths and solve for 0 E [0, 2x). Let v = 20 in both paths. What interval is v in to get 0 E [0, 2x)? - One path should include a Pythagorean identity but no factoring. · Another path should include factoring (another substitution may help here) but not a Pythagorean identity.
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