Question 1

Solve the problem.
-On a Touch-Tone phone, each button produces a unique sound. The sound produced is the sum of two tones, gi' $y = \sin ( 2 \pi l t )$ and $y = \sin ( 2 \pi h t )$
where $l$ and $h$ are the low and high frequencies (cycles per second) shown on the illustration.

The sound produced is thus given by $$y = \sin ( 2 \pi l t ) + \sin ( 2 \pi h t )$$
Write the sound emitted by touching the 4 key as a product of sines and cosines.
A) $y = 2 \sin ( 439 \pi t ) \cos ( 1,979 \pi t )$
B) $y = 2 \sin ( 566 \pi t ) \cos ( 2,106 \pi t )$
C) $y = 2 \sin ( 2,106 \pi t ) \cos ( 566 \pi t )$
D) $y = 2 \sin ( 1,979 \pi t ) \cos ( 439 \pi t )$

Accepted Answer

The answer of Solve the problem.
-On a Touch-Tone phone, each...

Question 2

Express the sum or difference as a product of sines and/or cosines.
-$\sin ( 4 \theta ) - \sin ( 2 \theta )$
A) $\sin ( 3 \theta ) \cos \theta$
B) $\sin \theta \cos ( 3 \theta )$
C) $2 \sin ( 3 \theta ) \cos \theta$
D) $2 \sin \theta \cos ( 3 \theta )$

Accepted Answer

The answer of Express the sum or difference as a...

Quiz 6: Analytic Trigonometry

Express the sum or difference as a product of sines and/or cosines. - $\sin ( 4 \theta ) - \sin ( 2 \theta )$

Quiz 6: Analytic Trigonometry

Express the sum or difference as a product of sines and/or cosines. - sin⁡(4θ) −sin⁡(2θ) \sin ( 4 \theta ) - \sin ( 2 \theta ) sin(4θ) −sin(2θ)

Express the sum or difference as a product of sines and/or cosines. - $\sin ( 4 \theta ) - \sin ( 2 \theta )$