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Precalculus Notes: Unit 4.7-4.8 & 5 – Trigonometric Identities
Power Reducing Identities
1  cos 2
2
1  cos 2
cos 2  
2
1

cos
2
tan 2  
1  cos 2
sin 2  
Ex6: Express cos5 x in terms of trig functions with no power greater than 1.
Rewrite as a product
Power reducing identity
Multiply
Power reducing identity
You Try:
1. Find the solutions to 2cos x  sin 2 x  0 in 0,2  .
2. Verify
2cos2
 cot   tan  .
sin 2
Reflection: How do you convert from a cosine function to a sine function? Explain.
Page 22 of 24
Precalculus – Graphical, Numerical, Algebraic: Pearson Chapter 4