# Trigonometry

Pre-Calculous (Trig)
The Singapore Flyer, currently the world's largest Ferris wheel, completes one rotation every 37 minutes.1 Measuring 150 m in diameter, the Flyer is set atop a terminal building, with a total height of 165 m from the ground to the top of the wheel. When viewed from Marina ...

Pre-Calc/Trig...
Helpp needed, this is sort of confusing me. Describe the nature of the roots for this equation. 2x^2-x+1=0 A. Two real, rational roots B. Two real, irrational roots C. One real, double root D. Two complex roots

Pre-Calc/Trig...
Help me please. Simplify 1. √-36 2. -√-625

Pre-Calc/Trig...
Help me please. Solve the equation: (x-3)(x+2)=0 Enter the solution with the lowest value.

Pre-Calc/Trig...
A ball is thrown upward with an initial velocity of 4ft/sec from a height of ten feet. what is the maximum height that the ball will reach. h(t)= -16+vt+s

Pre-Calc/Trig...
Solve using any method. 1. 2x^2+5x-3=0 2. -x^2+x+1=0

Pre-Calc/Trig...
Use the discriminant to determine the nature of the roots. 1. 2x^2+5x-3=0 2. -x^2+x+1=0

Pre-Calc/Trig...
Help me do this please. Simplify the expressions using imaginary numbers. 1. √-16 2. √-49

Pre-Calc/Trig...
Am I right? Consider the function y=x^2+5x-2. What would happen to the graph if (x - 3) was substituted in place of the x? A. The graph would shift up 3 units. B. The graph would shift down 3 units. C. The graph would shift 3 units to the right. <--- D. The graph would ...

Pre-Calc/Trig...
Help me please. Which of the following accurately depicts the transformation of y=x^2 to the function shown below? y=5(x-2)^2+1 A. Shift 5 units right, stretch vertically by a factor of 2, then shift up 1 unit. B. Shift up 1 unit, stretch horizontally by a factor of 5, then ...

Pre-Calc/Trig...
Am i correct? A vertical shift is an example of a non-rigid transformation. True

Pre-Calc/Trig...
am i correct? What is the axis of symmetry for the graph of y=2x^2-4x+2? x=? the line goes through 1? x=1

Pre-Calc/Trig...
Am i correct? The graph of y=3x^2-4x+2 opens downwards. FALSE The graph of y=2x^2-4x+2 has a y-intercept of (0,1). FALSE

Pre-Calc/Trig...
Stuck on these two questions, help me please. The graph of y=3x^2-4x+2 opens downwards. True or False? The graph of y=2x^2-4x+2 has a y-intercept of (0,1). True or False?

trig
from a top of a hill

Pre-Calc/Trig...
Which of the following quadratic functions has a graph that opens downwards? check all that apply A. y=2x^2-9x+3 B. y=x^2+4x+8 C. y=-(5+2x^2) D. y=60x-15x^2

Pre-calc/Trig...
which of the following are quadratic functions? check all that apply 1. y=2x^2-3x+7 2. y=3x-4 3. y=(5x-3x^2)/4+1 4. y=x-x^3

Pre-Calc/Trig..
Write a function for the graph described as a transformation of y=x^2 y=x^2 experiences a vertical stretch of factor 2 and then a shift right of 3 units.

Pre-Calc/Trig...
Explain how the graph of the given function is a transformation of the graph of y=x^2 *y=(x+5)^2

Pre-Calc/Trig...
Explain how the graph of the given function is a transformation of the graph of y=x^2 *y=x^2+7

Pre-Calc/Trig...
vertex form:y-4=-(x-4)^2

Pre-Calc/Trig...
standard form: y=x^2-4x-5 vertex form: ? intercept form: ?

trig
The centers of two belt pulleys, with radii of 3 cm and 6 cm, respectively, are 13 cm apart. Find the total area K enclosed by the belt.

Pre-Calc/Trig...
if h(x)=(fog)(x) and h(x)=3√x+3 find g(x) if f(x)= 3√x+2

Pre-Calc/Trig...
Assume f(x) = -2x + 8 and g(x) = 3x. What is the value of (f + g)(-1)?

Pre-Calc/Trig...
Am i correct? It is possible for a system of linear equations to have no solutions. True <-- False i think it's true, if the lines are parallel?

Pre-Calc/Trig...
Which of the following is the equation of a line parallel to the line y = 3x + 2, passing through the point (10,1)? 3x + y = 29 3x - y = 29 -3x - y = 29 3x + y = 29

trig
what is the angle of elevation of a 15 foot ladder leaning 12 feet up a building?

Pre-Calc/Trig...
Let y = 4t + 2 be a linear function representing the distance from home for an ant t minutes after starting out from a location near its home. What does the number 4 represent in this function? The ant is 4 feet from its home after t minutes. The ant started out 4 feet from ...

Pre-Calc/Trig...
If f(x)=1/(x+2), what is f(3+h)? A. 1/(3+h) B. 1/(h+5) C. 1/(x+2)(3+h) D. (3+h)(x+2)

algebra2/ trig
The figure at the right shows three circular pipes all with 12inch diameters the have been strapped together by a metal band.What is the lenght of the band? I don't even know where to start , please help?

Trig
Two planes take off at the same time from an airport. The first plane is flying at 240 miles per hour on a bearing of S 45.0° E. The second plane is flying in the direction S 45.0°W at 290 miles per hour. What is the bearing of the second plane from the first after 5 hours...

Pre-Calculus/Trig...
Help Please For the function defined by: f(x)= (x^2,x≤1) (2x+1,x>1) Define f(0). and also how would i graph f(x)?

Math Pre-Calc/Trig
If 11 square meters of tile are available to make a rectangle whose width must be 6 meters less than its length, what would be the dimensions of the rectangle?

math- pre calc/trig
Find the length of each side of a square if the diagonal is 7(square root 2)? How do I solve or set up this problem?

Math (Trig)
Rewrite the following expression in terms of tan3x: (sin2x + sin4x)/(cos2x + cos4x)

Pre-Calc/Trig
Helpp please State the domain and range of each of the following functions: 1. f(x)=1/(x+3) 2. g(x)=√x+6 3. h(x)=x^3+2x+5

Pre-Calc/Trig
Help Please Find (fog)(2) and (f+g)(2) when f(x)= 1/x and g(x)=4x+9

Trig
A railroad tunnel is shaped like a semiellipse as shown below. A semiellipse is shown on the coordinate plane with vertices on the x axis and one point of intersection with the positive y axis. The height of the tunnel at the center is 27 ft and the vertical clearance must be ...

trig
karen, (who is 1,6m tall) wishes to calculate the height of a tall tree. she stands 50m from the base of the tree and measures its angle of elevation to be 36 degrees. determine the height of the tree?

Math Precal/Trig
Solve for n. 7((1-(-3)^n)/(1-(-3))=3829 I was confused on distributing the number 7, because we've always had problems with the number 1 on the outside.

trig
if 15 sin theta=8 cos theta , then what is sin theta-cos theta/sin theta +cos theta

trig
A bird at the top of a tree looks down on a field mouse at an angle of depression of 65°. If the field mouse is 30 meters from the base of the tree, find the vertical distance from the ground to the bird’s eyes. Round the answer to the nearest tenth.

trig
A planes actual resulting ground speed and direction are 550 mph and N26E. A wind is blowing from the northeast. If the pilot is holding a course of N27E how fast is the wind blowing I'm just stumped. It's an extra credit question is basically why I'm stumped.

Trig
A planes actual resulting ground speed and direction are 550 mph and N26E. A wind is blowing from the northeast. If the pilot is holding a course of N27E how fast is the wind blowing?

trig
if acos^3x+3acos.sin^2x=m asin3x+3acos^2x.sin=n proof that-(m+n)^2/3+(m-n)^2/3=2a^2/3

trig
proof that (m+n)^2/3+(m-n)^2/3=2a^2/3

trig
I have arrived at .322 as the sine of the angle how do I find the actual angle (in decimal/deg)

Trig
Two people decide to find the height of an obelisk. They position themselves 25 feet apart in line with, and on the same side of, the obelisk. If they find that the angles of elevation from the ground where they are standing to the top of the obelisk are 65 degrees and 44 ...

Trig
Two people decide to find the height of an obelisk. They position themselves 25 feet apart in line with, and on the same side of, the obelisk. If they find that the angles of elevation from the ground where they are standing to the top of the obelisk are 65 degrees and 44 ...

trig
the 40ft. pole is braced by , a wire from its top in a point 60ft. from its base up, snd 18° slope. how long is the wire?

trig
A spring is attached to the ceiling and pulled 17 cm down from equilibrium and released. After 3 seconds the amplitude has decreased to 16 cm. The spring oscillates 13 times each second. Assume that the amplitude is decreasing exponentially. Find an equation for the distance, ...

trig
bike tires are 22 inches in diameter and has an angular speed of 5 miles per second, how fast is the bike traveling in mph

Precalculus/Trig
I can't seem to prove these trig identities and would really appreciate help: 1. cosx + 1/sin^3x = cscx/1 - cosx I changed the 1: cosx/sin^3x + sin^3x/sin^3x = cscx/1-cosx Simplified: cosx + sin^3x/sin^3x = cscx/1-cosx I don't know where to go from there. 2. (sinx + cosx)(tanx...

Precalculus/Trig
Prove the following identity: 1/tanx + tanx = 1/sinxcosx I can't seem to prove it. This is my work, I must've made a mistake somewhere: Converted 1/tanx: 1/sinx/cosx + sinx/cosx = 1/sinxcosx Simplified 1/sinx/cosx: cosx/sinx + sinx/cosx = 1/sinxcosx Found common denominator ...

trig
the angle of from the top of a 41 fdepression as measured oot tower to a reference point on the ground is 65 degrees. How far away, to the nearest foot, is the reference point from the base of the tower

Math - trig
Determine the general solution of 8 cos^2x - 4cosx - 1 =0 (8cos^2x - 4cosx)/8 =1/8 cos^2x - 4cosx=1/8 cos^2x/cosx =1+4cosx/cosx cosx = 5 x = cos^-1(5) x = error

trig
two poles of height 25 cm & 20 cm are are parallel to each other with a distance of 12 cm between them. what is the distance between the top of the two poles?

trig
In 60 ft. Run sith a 21 degree slope what is rise(ft)

trig
Wires are attached to a pole to make it more secure. The diagram shows one of those wires having a length of 220 feet. The angle of elevation from the ground to the top of the pole is 36. What is the height of the pole? A. 178.0 ft B. 374.3 ft C. 159.8 ft D. 129.3 ft

trig
evaluate the expression under the given conditions tan 2 theta; cos theta=7/25, theta in quadrant I

Trig laws
Given the area ABC=7.52m©÷. Find a, when m¡ÐB=40¡Æ and c=6m.

Trig laws help
mÚA=15.52, c=18ft, b=16ft, then a=? ft

trig
if (-12,5) is a pointon the terminal side of an angel 0 find the exact value of six trig funcation of 0

Math: Trig
What is Arcsec(-2) equal to and how can you find the correct answer? I got 2pi/3 but it was marked wrong on my test and I'm not sure why it's wrong. Can you please explain this to me? Thanks!

trig
how do you find algebraically the measure of the obtuse angle, to the nearest degree, that satisfies the equation 3 sec theta = 5 is it sec theta = 5/3 and then cos -1 (5/8) = 0.4

trig
Hi there! I NEED SERIOUS HELP, PLEASE!!! i have such a hard time with verifying identities! The question is: [(sin(theta/2)) / csc(theta/2)] + [(cos (theta/2) / sec(theta/2)] = 1 I have a few ideas on how to solve this, but am mainly not sure how to get rid of (theta/2). I am ...

trig
A weight attached to a long spring is bouncing up and down. As it bounces, its distance from the floor varies periodically with time. You start a stopwatch. When the stopwatch reads 0.3 seconds, the weight reaches its first high point 65 cm above the ground. The next low point...

trig
Establish the following identity: CosA/1-TanA + SinA/1-CotA = CosA-SinA

trig
Given that cos A = 5/13 and A and B are both acute angles, calculate the value of Sin2A and Cos2A

trig
A car drives 1000 feet on a road that is 8 degrees to the horizontal, as shown in the figure. The car weighs 3400 lb. Thus gravity acts straight down on the car with a constant force F=-3400j. Find the work done by the car in overcoming gravity?

trig
in triangle ABC, a = 2, b = the square root of 3, and m,angle C = 30 degrees. What is the value of c? a= 1 b= 2 c= 2square root of 3 d=square root of 3 over 3

Trig
Find the coterminal angles: one positive one negative angle. 55° and (9(3.14)/5) answer degrees in radians and radians in degrees

trig angle of elevation
The eyes of a basket ball player are 6 feet above the floor. He is at the free-throw line, which is 15 feet from the center of the basket rim. The center of the rim is 10 feet above the floor Before shooting the player decides to step back a few steps. His angle of elevation ...

Trig
The problem is: an airplane is flying in the direction 120 degrees with an airspeed of 320 mph, and a 35 mph wind is blowing in the direction 60 degrees. The question ask to find the true course and the ground speed. To solve the problem I have done this: Flying 120sin 320_+...

trig
To guard against a fall, a ladder should make an angle of 75o or less with the ground. What is the maximum height that a 20-foot ladder can reach safely to the nearest tenth of a foot? in my diagram I set it up using the sin function since I want to find the height so I did (...

trig
Draw the graph of f(x) = tan x and g(x) = 2cos x for 180 _< thetha _< 180 {since its a graph I'm sure how to draw it here}

check my set up please, trig
Sarah holds the end of her kite string 5 feet off the ground. The kite string makes a 43 degree angle of elevation with the horizontal and the kite is 105 ft. off the ground. How long is the kite string to the nearest tenth of a foot? cos43=100/x ?

help please trig
According to the Americans With Disabilities Act, a ramp can rise no more than 1 ft for every 12 ft of horizontal distance. To the nearest tenth degree what is the maximum angle that the ramp can form with the ground?

trig! check my answe please
An advertising blimp hovers over a stadium at an altitude of 125 m. The pilot sights a tennis court at an 8o angle of depression. To the nearest meter, find the ground distance in a straight line between the stadium and the tennis court. I set it up 125/tan8, knowing its a ...

Trig
I was wondering, is a sinusoidal function an algebraic model? Or, on the other hand, is there a way to derive an algebraic model from a sinusoidal function?

Trig
Hi, I would like to ask anyone available a quick question. How would I explain WHY it is that the data/function of average monthly temperatures for a location are a sinusoidal function? I am having trouble phrasing and explaining it, although I am aware that it is in fact ...

Trig
Charo is 50 feet from the tallest totem pole, located in Alberta Bay, Canada, which has a height of 173 feet. If Charo’s eyes are 5 feet from the ground, find the angle to the nearest degree of elevation for her line of sight to the top of the totem.

trig
Solve (1+tan square A)(1-sinA)(1+ sinA)

trig
At a horizontal distance of 101 meters from the base of a tower, the angle of elevation to the top is 15 degrees. Find the line of sight distance to the nearest meter.

trig
earth is 149 600 000 km from the sun. this distance is equal to 1 A.U (astronomical unit). Mars is seen form earth to make an angle of 68degrees with the sun. a) draw a diagram and label b)how far are earth and mars c) do you think the distance between earth and mars are the ...

trig length
To secure a 610-meter radio tower against high winds, guy wires are attached to a ring on the tower. The ring is 7 meters from the top. The wires form a 69o angle with the ground. To the nearest hundredth meter find the length of the guy wire

trig
A road has a 10% grade (slope). To the nearest degree what is the angle of elevation of the road? should I use sin?

Trig
You and a friend are rowing a boat 8.5 KPH heading north. A cross current is moving 3.2 KPH at an angle of 38 degrees north of the west direction. How fast are you actually moving and what direction are you actually heading?

trig
A 15 ft. ladder makes a 35o angle with the side of a house. To the nearest tenth of a foot how high up on the house does the ladder come?

trig
From a rock ledge the angle of elevation to the topof a treeis 25 degrees. The angle of depression to the bottom of the tree is 10 degrees. Find the heightof the rock ledgeto the nearest tenth and find the height of the tree to the nearest tenth

trig
A kite string is 65 metres long and makes an angle of 32 degrees with the ground. Calculate the height of the kite above the ground to the nearest metre.

math trig
a 3.8m ladder rests against a vertical wall and makes an angle of 38 degrees with the wall. how far does the ladder reach up the wall?

trig
Robert is standing on a cliff and looks down at an angle of depression of 62 degrees to look at a boat. The cliff is 76 feet high. How far is the boat from the cliff? Round your answer to two decimal places. The boat is _________ feet from the cliff.

Trig
What is the common ratio, r, for the sequence represented by the formula an = 3(2)^-n? 1/2 2 3 6 Is it 2?

trig
A loading ramp is 35 feet long and forms an angle measuring 10° with the ground. How high is the top end of the ramp off the ground? Round your answer to the nearest tenth?

Trig help
What values for theta(0<_theta<_2pi) satisfy the equation? 3sin theta = sin theta-1

Trig
A 24-foot ladder is placed against a building. The building is perpendicular to the level ground so that the base of the ladder is 11 feet away from the base of the building. How far up the building, in feet, does the ladder reach? Round to nearest hundredth.

Precal/trig
sina=3/5, pi/2<a<pi evaluate cos2a

trig
In right ∆LMN, sin M = 0.759. What is cos N?

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