Trig final
Given the graph of y=asinb(x+c)+d, determine the vertical displacement
-1
Find the exact value of the given expression cos(60+135)
-1-sqrt3/2 sqrt2
use a calculator to evaluate tan39 22' round your answer to four decimal places
0.8204
what is the phase shift of the function y=sin(3x+3)
1 unit left
if B=29degrees and a=9, determine the value of c. Round to two decimal places
10.29
The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff 25 feet above the water makes a 25 degree angle with the water to the nearest foot, how far is the boat from the cliff?
128 feet
Given the graph of y=asinb(x-c)+d on the right, determine the value of b
2
use a calculator to evaluate tan 245 Round your answer to four decimal places
2.1445
Find the exact value of csc0 using the triangle shown in the figure below if a=24 b=7
25/7
Convert 260 59' 51" to degree decimal form. Round answer to three decimal places
260.998
Determine the quadrant in which a 130 angle lies
2nd quadrant
find the period of the function y=-2cos(3x)+1
2pi/3
Use trig Identities to identify which expression is equivalent to 2/cotx-cscx
2sinx/coxx-1
find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 1- yards tall casts a shadow 14 yards long. Round to the nearest degree
36
Determine the quadrant in which a -150 38' angle lies
3rd quadrant
Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of 330. Round to two decimal places
40.32
Determine the quadrant in which an angle, 0, lies if 0=5.40 radains
4th quadrant
find the length of the hypotenuse
6
Given A=53, B=73, and c=8. fidn the value of a
7.90
rewrite 315 in radian measure as a multiple of pi
7pi/4
using the figure below if 0=26degrees and y=8, etermine the exact value of x
8/tan26
Given a=12, b=11, and c=8. use the Law of Cosines to find the value of C
C=40.42
Find the magnitude of vector v with initial point (3, -6) and terminal point (0,6)
IIvII=3 sqrt17
Find the magnitude of vector v with initial point (7, -7) and terminal point (-1,5)
IIvII=4 sqrt13
Find the magnitude of vector v (4,-3)
IIvII=5
Find the magnitude of vector v with initial point (3,6) and terminal point (-4.-1)
IIvII=7 sqrt2
Given C=130, B=29, and c=15. find the value of a
a=7.02
Given C=123 degrees, B=32 degrees, and c=15. use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places
a=7.56
evaluate arctanspart3/3 without using a calculator
pi/6
Let w be a vector with initial point (-1,7) and terminal point (-4,1) Write w as a linear combination of the standard unit vectors i and j
w=-3i-6j
Given u=(-4,4) and v=(-5,0) determine -6u-2v
-6u-2v=(34,-24)
Find the exact value of the given expression cos(60+135)
-sqrt6-sqrt2/4
Given sin30=1/2 and cos30=pi3/2, determine the following csc30
csc30=2
Given C=100degrees, a=8, and b=7, use the Law of Cosines to solve the triangle for the valuce of c. Round answer to two decimal places.
11.51
Given a=7, b=13, and c=8, use the Law of Cosines to solve the triangle for value of B. Round answer to two decimal places.
120.00
If a=5 and c=20, determine the value of A. Round to two decimal places
14.48
viola drives 170 meters up a hill that makes an angle of 6 with the horizontal, what horizontal has she covered
169.1
Given C=108, a=9, b=15 find the value of c
19.73
determine two coterminal angles for 0=-503
217, -143
fidn the value of x in the triangle below
23
Evaluate cos^-1 (sqrt3/-2) without using a calculator
5pi/6
Find the value of x in the triangle below
6.2
find the measure of x in the right triangle
69.1
A vertical pole 32 feet tall stands on a hillside that makes an angle of 17degrees with the horizontal. Determine the approximate length of cable that would be needed to reach from the top of the pole to a point 56 feet downhill from the base of the pole. Round answer to two decimal places
72.17
Given A=72degrees, b=6, and c=8. Use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places.
8.39
rewrite 4pi/9 in degree measure
80
Given u=(1,-5) and v=(-4,-2) determine 9u-v
9u-v=(13,-43)
simplify the expression cosx/1+sinx+tanx using trig identities
secx
Using trig identities to simply the expression sinx/cosx+cosx/sinx Identify an equivalent
secxcscx
write the given expression as the sine of an angle (sin100 cos 35+sin35 cos 100
sin 135
Find the exact value of the given expression using a sum or difference formula cos 19pi/12
sqrt3-1/2 sqrt2
Givne u=(3,4) and v=(-2,5) determine u-6v
u-6v=(15,-26)
Find the vector v that has a magnitude of 4 and is in the same direction as u, where u=(-3,-6)
v(-4/sqrt5, -8/sqrt5)
find the component form of vector v with initial point (3,2) and terminal point (2,6).
v=(-1,4)
Find the component form of vector v with initial point (5,0) and terminal point (-5,-3)
v=(-10,-3)
Fidn the component form of vector v with initial point (2,-7) and terminal point (-6,4)
v=(-8,11)
Find the component form of vector v
v=(4,5)
Let w be a vector with initial point (9,1) and terminal point (5,4). Write w as a linear combination of the standard unit vectors i and j
w=-4i+3j
solve the equation of 2sin^2x=sinx
x=0, pi, pi/6, 5pi/6
fidn the exact solutions of the given equation in the interval [0, 2pi] sin2x=sinx
x=0, pi/3, pi, 5pi/3
Find the value of x and y without using a calculator
x=17 sqrt3. y=34
Solve the multiple-angle equation cosx/2=-sqrt3/2
x=5pi/3+4npi and 7pi/3+4npi, where n is an integer
which of the folowing is a solution to the given equation sqrt2 sinx+1=0
x=7pi/4
which of the following is a solution to the equation 2cosx+sqrt3=0
x=7pi/6
Solve the following equation 2cosx-1=0
x=pi/3+2nPi and x=5pi/3+2npi, where n is an integer
Which one of the equations matches the graph
y=-2sin(3x)
Which one of the equations below matches the graph
y=2sin(1/3x)
The point (-5, -12) is on the terminal side of an angle in standard position. Determine the exact value of tan0
tan0=12/5
write the given expression tan7x-tanx/1+tan7xtanx as a single trig expression
tan6x
If the graph of the function f(x)=5sinx+p just touches the x-axis what is the value of p
-5 or 5
Find the exact value of the given expression using a sum or difference formula sin345
-sqrt3+1/2 sqrt2
Find the exact value of the given expression sin(5pi/3-pi/4)
-sqrt3-1/2 sqrt2
Which of the following is equivalent to the given expression sin^2x/1-cosx
1+cosx
Given a=3 b=11, and c=10, use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places
15.50
A radio transmission tower is 100 feet tall. How long should a guy wire be if it is to be attached 7 feet from the top and is to amke and angle of 23 degrees with the ground? Give your answer to the nearest tenth of a foot.
238.0 ft
A granular subastance as sand naturally settles into a cone-shaped pile when poured from a small aperture. Its height depends on the humidity and adhesion between granules. The angle of elevation of a pile, theta, is called the angle of repose. If the height of a pile of sand is 15 feet and its diameter is approximately 52, determine the angle repose. Round answer to nearest degree.
30
Determine the quadrant in which an angle, 0, lies if 0=8pi/7
3rd quadrant
Given u=4i+2j and v=-3i-2j determine 3u-9v
3u-9v=39i+24j
if sin0=sqrt3/2, find the value of 0 in degrees (0<theta<90) without the aid of a calculator
60 degrees
Determine two coterminal angles (one positive and one negative) for 0=2pi/3
8pi/3 -4pi/3
State the quadrant in which 0 lies if sectheta>0 and csctheta<0
Quadrant IV
Find the amplitude and period of y=-4sin(0-6)+7
amplitude: 4, period 2pi
Write the given expression as a single trig expressions (sin95 cos40-sin40 cos 95)
sin55
after a severe storm, three sisters, April, May and June, stood on their porch and noticed that the tree in their front yard was leaning 6 from vertical toward the house. From the porch which is 98 feet away from the base of the three, they noticed that the angle of elevation to the top of the tree was 24. Approximate the height of the tree. Round to two decimal places
41.91
write the given expression as the cosine of an angle (cos60 cos65-sin60 sin 65
cos125
write the expression cos55cos40+sin55sin40 as a single trig expression
cos15
find the exact value of cos 19pi/12 using a sum or difference formula
sqrt6-sqrt2/4
find the exact value of cos(285) using an anglue sum or difference
sqrt6-sqrt2/4
find the exact value of sin11pi/12 using an angle sum or difference
sqrt6-sqrt2/4
write the given expression as the tangent of an angle (tan5x+tan3x/1-tan5x tan3x
tan(8x)
Let w be a vector with initial point (9, -1) and terminal point (-3, 7). Write w as a linear combination of the standard unit vector i and j
w=-12i+8j
