For Exercises 43-46, given the values for sin t and cos t , use the reciprocal and quotient identities to find the values of the other trigonometric functions of t . (See Example 4) sin t = 28 53 and cos t = − 45 53
For Exercises 43-46, given the values for sin t and cos t , use the reciprocal and quotient identities to find the values of the other trigonometric functions of t . (See Example 4) sin t = 28 53 and cos t = − 45 53
Solution Summary: The author explains how to calculate the values of the other trigonometric functions of t using the reciprocal and quotient identities.
For Exercises 43-46, given the values for
sin
t
and
cos
t
, use the reciprocal and quotient identities to find the values of the other trigonometric functions of
t
. (See Example 4)
In each of Problems 1 through 4, draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y as t → ∞. If this behavior depends on the initial value of y at t = 0, describe the dependency.1. y′ = 3 − 2y
B 2-
The figure gives four points and some
corresponding rays in the xy-plane. Which of
the following is true?
A
B
Angle COB is in standard
position with initial ray OB
and terminal ray OC.
Angle COB is in standard
position with initial ray OC
and terminal ray OB.
C
Angle DOB is in standard
position with initial ray OB
and terminal ray OD.
D
Angle DOB is in standard
position with initial ray OD
and terminal ray OB.
temperature in degrees Fahrenheit, n hours since midnight.
5. The temperature was recorded at several times during the day. Function T gives the
Here is a graph for this function.
To 29uis
a. Describe the overall trend of temperature throughout the day.
temperature (Fahrenheit)
40
50
50
60
60
70
5
10 15 20 25
time of day
b. Based on the graph, did the temperature change more quickly between 10:00
a.m. and noon, or between 8:00 p.m. and 10:00 p.m.? Explain how you know.
(From Unit 4, Lesson 7.)
6. Explain why this graph does not represent a function.
(From Unit 4, Lesson 8.)
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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