Use properties of the trigonometric functions to find the exact value of the expression. Do not use a calculator. sin (7) esc CSC 15п

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter67: Analysis Of Trigonometric Functions
Section: Chapter Questions
Problem 52A: For each exercise, functions and cofunctions of two angles are given. Which of the functions or...
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Solve parts a-i listed below and show your work.

here are parts g, h, and i

 

Use properties of the trigonometric functions to find the exact value of the expression. Do
not use a calculator.
sin
1
y=sin(x) + 1
y = 2-4 cos(3x)
π
c (1577)
CSC
Determine the amplitude, period, domain and range for each function. Sketch at least two
cycles and label key points on the graph.
Several research papers use a sinusoidal graph to model blood pressure. Suppose an indi-
7πt
vidual's blood pressure is modeled by the function P(t) = 30 sin ¹ (77²) +
+ 130 where the
maximum value of P is the systolic pressure, which is the pressure when the heart contracts
(beats), the minimum value is the diastolic pressure, and t is time, in seconds. The heart
rate is the number of beats per minute.
(a) What is the individual's systolic pressure?
(b) What is the individual's diastolic pressure?
(c) What is the individual's heart rate?
Transcribed Image Text:Use properties of the trigonometric functions to find the exact value of the expression. Do not use a calculator. sin 1 y=sin(x) + 1 y = 2-4 cos(3x) π c (1577) CSC Determine the amplitude, period, domain and range for each function. Sketch at least two cycles and label key points on the graph. Several research papers use a sinusoidal graph to model blood pressure. Suppose an indi- 7πt vidual's blood pressure is modeled by the function P(t) = 30 sin ¹ (77²) + + 130 where the maximum value of P is the systolic pressure, which is the pressure when the heart contracts (beats), the minimum value is the diastolic pressure, and t is time, in seconds. The heart rate is the number of beats per minute. (a) What is the individual's systolic pressure? (b) What is the individual's diastolic pressure? (c) What is the individual's heart rate?
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