Concept explainers
Because you may not be required to memorize the identities in this section, it's often tempting to pay no attention to them at all! Exercises 1-4 are provided to familiarize you with what these identities do. Fill in each blank using the word sum, difference, product, or quotient.
The formula
can be used to change a______ of two sines into
the________ of two cosine expressions.
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Chapter 6 Solutions
Algebra and Trigonometry
- sec 9.1arrow_forwardWhen 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 =arrow_forwardTake a moment to skim this page on co-function identities 2. Once you have done so, complete the following identities. a. sin 2 - T Preview b. cos 2 (플- ) Preview c. tan Previewarrow_forward
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