Use one or more of the six sum and difference identities to solve Exercises 13-54. In Exercises 13-24, find the exact value of each expression. sin ( α + β ) sin ( α − β ) = cos 2 β − cos 2 α
Use one or more of the six sum and difference identities to solve Exercises 13-54. In Exercises 13-24, find the exact value of each expression. sin ( α + β ) sin ( α − β ) = cos 2 β − cos 2 α
Solution Summary: The author explains how to prove the expression mathrmsin(alpha +beta
Evaluate / cos(a0)d0 where a is a real number, and C is an arbitrary constant.
sin(a0)
+ C
a sin(a0) + C
sin(a0) + C
- sin(@0)
+ C
When a key is pressed on a touch-tone telephone, the keypad generates two pure
tones, which combine to produce a sound that uniquely identifies the key. The figure
shows the low frequency f1 and the high frequency f2 associated with each key.
Pressing a key produces the sound wave y = sin(2nfzt) + sin(2xf2t).
High frequency f2
1209 1336 1477 Hz.
697 Hz + 1
Low
770 Hz + 4
6.
frequency
852 Hz
8.
941 Hz
(a) Find the function that models the sound produced when the 9 key is
pressed.
y = sin(17047t) + sin(2954rt)
(b) Use a Sum-to-Product Formula to express the sound generated by the 9
key as a product of a sine and a cosine function.
y =
Chapter 6 Solutions
MyLab Math with Pearson eText -- Combo Access Card (18-wk) for Algebra & Trigonometry
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Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities; Author: Mathispower4u;https://www.youtube.com/watch?v=OmJ5fxyXrfg;License: Standard YouTube License, CC-BY