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Trigonometric equations Questions

A complicated equation was simplified and factored into (tanx) (sin²x – a ) (sec x - a) = 0.
Determine the number of roots of the equation over the domain 0 <= x <= 2π if:
a) 0< a < 1
b) a > 1

Math

Trigonometric equations Solutions

A complicated equation was simplified and factored into (tanx) (sin²x – a ) (sec x - a) = 0. Determine the number of roots of the equation over the domain 0 <= x <= 2π if: a) 0< a < 1 b) a > 1

Solve ∆ABC. Round to one decimal place where necessary. The "triangle” may have no solution or may have two solutions. If there are two triangles, write both answers in the blank. If no triangle, type NA in each blank.
B = 20°, C = 31°, a = 210

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Trigonometric equations Solutions

Solve ∆ABC. Round to one decimal place where necessary. The "triangle” may have no solution or may have two solutions. If there are two triangles, write both answers in the blank. If no triangle, type NA in each blank. B = 20°, C = 31°, a = 210

Sketch the graph of y = tan( x + π/4 ) within the interval ( – 2π, 2π)
a) What is the period?
b) Write the formula for the vertical asymptotes: x =
where k is an odd integer.
c) List the vertical asymptotes within ( - 2π, 2π ): x =
d) List all

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Trigonometric equations Solutions

Sketch the graph of y = tan( x + π/4 ) within the interval ( – 2π, 2π) a) What is the period? b) Write the formula for the vertical asymptotes: x = where k is an odd integer. c) List the vertical asymptotes within ( - 2π, 2π ): x = d) List all x intercepts as ordered pairs ( x,0) such that – 2π < x < 2π: e) Graph all the above features.

as
a
8- TT1 Sigor EU-S and
3. The average depth of water at the end of a dock is 6 feet. This varies 3 feet in both directions with the tide.
Suppose there is a high tide at midnight. If the tide goes from low to high every 6 hours, sketch a graph and
writ

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Trigonometric equations Solutions

as a 8- TT1 Sigor EU-S and 3. The average depth of water at the end of a dock is 6 feet. This varies 3 feet in both directions with the tide. Suppose there is a high tide at midnight. If the tide goes from low to high every 6 hours, sketch a graph and write a trigonometric function d(t) that describes the depth of the water as a function of time.

(06.06 MC)
X
The model for long-term average temperature f (x), in degrees Celsius, at the Willburn airport is represented by the equation f(x) = 5 sin
+14.5. If x represents the month of the year, in
12
which months will the temperature be 17°C?
JT
57
x=

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Trigonometric equations Solutions

(06.06 MC) X The model for long-term average temperature f (x), in degrees Celsius, at the Willburn airport is represented by the equation f(x) = 5 sin +14.5. If x represents the month of the year, in 12 which months will the temperature be 17°C? JT 57 x= + 2n and x= + 2n 6 6 Thing O 57 x= +24gen and x= +24xn 6 6. = Ox=2 TT + 2 and x = 10TT + 2T Ox= 2T + 24T1n and x = 10TT + 24TIN 3

04.04 Unit Test: Tric
m: Use Sum, Difference, Doux
DL 4.10 Unit Test: Trigonometric La X
M Simplify/Condense csc(theta)-ce X
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Math

Trigonometric equations Solutions

04.04 Unit Test: Tric m: Use Sum, Difference, Doux DL 4.10 Unit Test: Trigonometric La X M Simplify/Condense csc(theta)-ce X I/le/enhancedSequenceViewer/1690262?url=https%3A%2F%2Fe02711f5-1353-40b6-af9b-349f7ff846bd.sequences.api.brightsp big sister Save a kid C Volun 3 Volunteer - Sunshin... UE 8 Classes JustServe: Projects N college scholorships 4.10 Unit Test: Trigonometric Laws and Identities - Part 1 [0, 21) What are the solutions to the trigonometric equation on the interval 2sin²x = sin x Select all correct solutions. 0 0 27 5 OTT Els colors also la wla ola O 0 57 o 117 6 O acer C 0 o A # 3 * $ 4 to t % 5 N & 7 ( 9 6 8

Problem 2.
(3 points)
Set up an integral that represents the length of the curve r = 8 sin @ then evaluate it:
Length
=
dt
=
Notes
Note: You can earn partial credit on this problem.
SAVE and preview answers

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Trigonometric equations Solutions

Problem 2. (3 points) Set up an integral that represents the length of the curve r = 8 sin @ then evaluate it: Length = dt = Notes Note: You can earn partial credit on this problem. SAVE and preview answers

$Evaluate dx 2 x - 16 for x > 4, in two ways: using partial fractions and a trigonometric substitution. Reconcile your two - answers. ... dx secu 1 J 2 sec?0-1 Vsec²0-1 II In +C 2 x - 16 4 Rewrite the integral in terms of x and simplify the result. Use the$

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Trigonometric equations Solutions

Evaluate dx 2 x - 16 for x > 4, in two ways: using partial fractions and a trigonometric substitution. Reconcile your two - answers. ... dx secu 1 J 2 sec?0-1 Vsec²0-1 II In +C 2 x - 16 4 Rewrite the integral in terms of x and simplify the result. Use the reference triangle for the secant substitution shown here to determine the values. Vir - 22 Sza dx 1 = In 8 x - 16 X-4 X+4 +C a x = a seco Reconcile the results from the two evaluations of the integral. Choose the correct answer below. O A. The two results can be reconciled by changing the constant of integration. OB The two results can be reconciled because the secant substitution results in itan ²0 = - tan 0 in this case. C. The two results can be reconciled using the properties of logarithms. D. The two results can be reconciled by using integration by parts.

Given graph of tan A. (part)
D
B
511/4
1/2
31/4
11
1/4
-1/4
-5n14
3/4
211
-112
C
E
A
and graph of arctane,
2
TT/3
P
R
Q
-TT/6
-3
1/6
$
T
= T/3
Match the marked points with points given in the following table:
1. (-3,-1)
16 (17)
2. (-1)
7. (-1,-4)
3. (V3, 5

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Trigonometric equations Solutions

Given graph of tan A. (part) D B 511/4 1/2 31/4 11 1/4 -1/4 -5n14 3/4 211 -112 C E A and graph of arctane, 2 TT/3 P R Q -TT/6 -3 1/6 $ T = T/3 Match the marked points with points given in the following table: 1. (-3,-1) 16 (17) 2. (-1) 7. (-1,-4) 3. (V3, 5) 8. (1,1) 5. (-ß3, 5) 10. (1) 9. (3-1) [Choose A Choose B [Choose

Find all solutions of the equation in the interval [0, 271). (Enter your answers as a comma-separated list.)
sin? 3x - sin? x = 0
X=
Use a graphing utility to graph the equation and verify the solutions.
y
y
2
1
21
2x
11
0-24
0-21
Ants for
hann inn
y
2
y
2

Math

Trigonometric equations Solutions

Find all solutions of the equation in the interval [0, 271). (Enter your answers as a comma-separated list.) sin? 3x - sin? x = 0 X= Use a graphing utility to graph the equation and verify the solutions. y y 2 1 21 2x 11 0-24 0-21 Ants for hann inn y 2 y 2. 1 X 27 -1 2X -1 0-27

IVIY
Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the interval [0, 27). (Enter your answers as a comma-separated list.)
4 sin3
x + 2 sin? x - 2 sin x - 1 = 0
Y =

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Trigonometric equations Solutions

IVIY Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the interval [0, 27). (Enter your answers as a comma-separated list.) 4 sin3 x + 2 sin? x - 2 sin x - 1 = 0 Y =

Solve - 6 sin(x) + 2 cos(x)
4 for the first 2 positive solutions. You may solve this equation graphically.
X =
Give your answers accurate to at least 2 decimal places, as a list separated by commas
Question Help: D Video Post In forum

Math

Trigonometric equations Solutions

Solve - 6 sin(x) + 2 cos(x) 4 for the first 2 positive solutions. You may solve this equation graphically. X = Give your answers accurate to at least 2 decimal places, as a list separated by commas Question Help: D Video Post In forum

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