# Trigonometry

Trigonometry
Find cotangent theta given that cosecant theta equals -3.5891420 and theta is in the third quadrant. I was using the trig identity 1+cot^2theta=csc^2theta I wanted to isolate cotangent so I plugged in 1/sin (-3.5891420) and then squared my answer. I then subtracted one from ...

trig
A man is between two tall buildings 8m away from the taller building. If the angle of the top of the building from where he stans bears N 8degrees W for the taller one and N 12degrees E for other. How far is he from the other building if the taller building is 6/5 as to the other

trig
From post C, An airplane and a helicopter travel to different islands.The plane travels.415 km N 60degrees45minutes E to island A. and the helicopter travels to island B at S 19degrees5minutes E for 120 km. what is the distance between tthe two island

Trig
Bob the ranger is atop a fire tower that i son the side of a mountain.The fire tower is 10 meters high and the angle of depression from the top of the tower to the base of the mountain is 48 degrees. The tower creates a 115 degree angle with the mountain. How far up he ...

Trig
How do i solve sinx/cosx(sinx+cosx/sinx×cosx)=secx? I know it's 1/cosx because it equals secx but I don't know how to get there? :^(

trig
two ships p and q left a port at the same time. q sailed on a bearing of 150 while p sailed on the north side of q. after a distance of 8km and 10km by pand q respectively, their distance apart was 12km. find the bearing of p and r

Geometry
I am having trouble with this question. I do not know where to begin. I am in Trig now and we are doing review but I forgot everything that I learned in Geometry. I want to understand how to do this problem. "a picture measures 20 cm by 25 cm. the width of the matting and ...

Trig 4
Can someone break down the meaning of sin, tan, and cos into simpler more understandable terms?

Trig/ English
I need an Acrostic poem for the word "Exponent"

Precalc/Trig
I don't understand how to do these problems: Find two pairs of polar coordinates for each point with the given rectangular coordinates if 0 ≤ θ ≤ 2π. Round to the nearest hundredth, if necessary. 17. (2, -3) Answers: (3.61, 5.30) and (-3.61, 2.16) 19. (a...

Trig/Precalc
Two questions that I would really appreciate some hints on: 1) Circles with centers (2,1) and (8,9) have radii 1 and 9, respectively. The equation for a common external tangent can be written in the form y=mx+b with 0<m. What is b? 2) In triangle ABC, AB=BC, and BD is an ...

Pre-Calc/Trig
write an equation of the conic section: a hyperbola with vertices (0,-6) and (0,6) and asymptotes y=(3/4)x and y=(-3/4)x

trig
an observer at A looks due north and sees a meteor with an angle of elevation of 70 degrees. At the same instant, another observer 30 miles east of A seed the same meteor and approximates its position as N 50 degrees W but fails to note its angle of elevation. Find the height ...

Pre-Calc/Trig
Complete the following for each system that involves one or more quadratic equations: Solve the system algebraically 7y^2-5x^2+20x=3 5x^2+21y^2=209

trig
a guy wire reaches from the top of a 125 meter television transmitter tower to the ground.The wire makes a 63' angle with the ground.Find the length of the guy wire.

Pre-calc/trig
5=log3(x^2+18)

Pre-calc/Trig
For each parabola, find the vertex and focus. x= (1/400)y^2 y= 1/8(x-3)^2-1

Trig/Precalc
So I have two questions that have been puzzling me for quite some time and would really appreciate any help with either of them! (a) There are four positive intergers a, b, c, and d such that 4cos(x)cos(2x)cos(4x)=cos(ax)+cos(bx)+co​s(cx)+cos(dx) for all values of x. ...

Pre-calc/Trig
For each parabola, tell in which direction the graph opens. x= 1/2y^2 y= -1/24x^2

trig
prove that the equation 2sin x cos x +4cos^2 x =1 may be written in the form of tan^2 x -2tan x -3=0

Pre-Calc/Trig
A potato is put into an oven that has been heated to 350F. Its temperature as a function of time is given by T(t) = a(1 - e-kt) + b. The potato was 50F when it was first put into the oven. if the potato is 60F after 2 minutes, what is the value of k? ...

Pre-Calc/Trig
A body was found at 6 a.m. outdoors on a day when the temperature was 50oF. The medical examiner found the temperature of the body to be 66oF. What was the approximate time of death? Use Newton's law of cooling, with k = 0.1947. A. Midnight (12 a.m.) B. 5 a.m. C. 2 a.m. D. 3 a...

Pre-Trig/Calc
Please help :) A potato is put into an oven that has been heated to 350F. Its temperature as a function of time is given by T(t) = a(1 - e-kt) + b. The potato was 50F when it was first put into the oven. What is the value of b in this context? Explain. What is ...

Trig/Precalc
Find the greatest possible value of 5cos(x)+6sin(x). I know that it would be a good idea to look for identities that are in the form of acos(x)+bsin(x), but I can't seem to find any. Other than that I don't really know where to go with this problem. Any help would be much ...

trig
1. The sides of a triangle, in centimetres, are given by 3n-4, 3n+9, 4n+5. Draw a diagram to show the information. If the perimeter of the triangle is 114 cm, find the length of each side.

Trig
What is the period of f(x)=sin4x. I got pi/2 but on my answer list, it is not on there. a.4pi b.2pi c.pi d.1/2pi Which one would i choose?

Pre-Calc/Trig...
what is In e^4.3 equivalent to? How?

Pre-Calc/Trig...
Which of the following could be an example of a function with a domain (-oo,oo) and a range (-oo,2)? Check all that apply. A. y= -(3)^x+2 B. y= -(3)^x-2 C. y= -(0.25)^x+2 D/ y= -(0.25)^x-2

Trig
Verify each trigonimetric equation by substituting identities to match right hand side of the equation to the hand side of the equation. Please help. -tan^2x+sec^2x=1

trig
Solve R=3(1-sin theta) and graph

Math (TRIG)
Please help me set up these problems. 1.) Find an equivalent equation in rectangular coordinates. r(1 - 2 cos θ) = 1 2.) Find a rectangular equation for the plane curve defined by the parametric equations. x = sec t, y = tan 3.) A projectile is fired with an initial ...

Trig (math)
1.) Find all solutions of the equation. Leave answers in trigonometric form. x^2 + 1 - sqrt3i = 0 2.) Give the rectangular coordinates for the point. (9, 2pi/3) 3.) The rectangular coordinates of a point are given. Express the point in polar coordinates with r L 0 and 0° K ...

Trig (math)
1.) Write the complex number in trigonometric form r(cos theta + i sin theta) with theta in the interval [0°, 360°). 9 sqrt 3 + 9i 2.) Find the product. Write the product in rectangular form, using exact values. [4 cis 30°] [5 cis 120°] 3.) [4(cos 135° + i sin 135°)][6(...

trig
Question #1 Suppose that θ is an angle in standard position whose terminal side intersects the unit circle at −−2029,2129 Find the exact values of cscθ cotθ sinθ .

Math Trig
Let theta be an angle in quad III such that sec theta = -13/5. Find the exact values of cot theta and sin theta? Thank you!!!

Pre-Calc/Trig...
Use the rules of logarithms to expand [(x+3)^4(x-5)^7]

Precalc/Trig
2 roads intersect at an angle of 60 degrees. A friend's mail box is 434 feet from that intersection and your mailbox is on the other road and is 525 feet from the intersection. How far is it from your mailbox to your friend's mailbox? I got 1016.66 feet, but that is wrong. ...

Pre-Calc/Trig...
I have one way, but cant think of another? Show two ways of finding y if y = log4 64. Explain your thinking. 4^x=64 x=3

Pre-Calc/Trig...
Write the equation y = log x in exponential form.

Pre-Calc/Trig...
If An is defined as a geometric sequence, is the sequence 1/an also a geometric sequence? Explain your reasoning

Pre-Calc/Trig...
is this the correct formula for me to solve this? A bacteria culture has 2,000 bacteria. The number of bacteria increases by 5% each hour. How many bacteria are there after 12 hours? 2,000*0.05^(12-1)

Pre-Calc/Trig...
Find S5 for a geometric series for which a1 = 81 and r = 1/9.

Pre-Calc/Trig...
Given a geometric sequence with a1 = 6 and r = 2/3, write an explicit formula for An, the nth term of the sequence.

Pre-Calc/Trig...
The nth term of a geometric sequence is given by an = 1/4(4)^n-1. Write the first five terms of this sequence.

Pre-Calc/Trig...
Write the equation y = bx in logarithmic form.

trig
How much does it cost to paint a triangular surface of sides 6m,5m, and 11m at the rate of rs.20/-per metre square.

trig
a ship starts from port at a bearing of South 32 degrees East. It travels 8 miles in this direction before turning to a bearing of North 14 degrees East. It travels 15 miles in this direction, before finally turning to a bearing of South 72 degrees East and travels another 4 ...

Trig
a ships navigator determines that the ship is moving through the water at 17.5mi/h with a heading of 26.3 degrees north of east but the ship is actually moving at 19.3 mi/h in a direction of 33.7 degrees north of east. What is the velocity of the current? would this be 17....

Trig
A jet is 115 mi east and 88.3 i north of Niagara Falls. What is its displacement from Niagara Falls?

Precalc/Trig
I have no idea how to solve this one problem: Round to two decimal places. Two observers 25 feet apart, sight to the top of the tree. If the angle of elevation to the top of the tree from the observer closest to the tree is 30 degrees and the angle of elevation from the ...

trig
Two circles of radii 5 and 3 cm, respectively, intersect at two points. At either point of intersection, the tangent lines to the circles form a 60◦ angle, as in Figure 2.2.4 above. Find the distance between the centers of the circles

Trig
I need help setting these up. 1.) Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. round to one decimal place. Theta= 35 degree, b=98 lbs, c=55lb 2.) Find the magnitude and direction angle for each vector. Five the...

TRIG!
true or false, the two sets of parametric equations x=t, y=t^2+1 and x=3t, y=9t^2+1 have the same graph. justify your decision.

trig
rewrite each equation in polar form. solve for r if possible a. 2x+3y=5 b. y=1/2x

Trig
Determine exact solution. x E (0, 2pi) 2csc^2x-8=0

trig
determine a set of parametric equations to represent the line segment that begins at the point(-2,6) and ends at the point (10,-4)

trig
solve each equation if 0 < x < 2pi. answer must be in radians 1. 4 cos x - 2 = 0 2. 3 sec^2 - 4 = 0

Pre-Calc/Trig
is the integer n odd or even, explain

Pre-Calc/Trig
Help me please, I don't understand this write using exponential notation √ 36* 3√ 64 oh and 3 is an exponent

Trig
Does this result in no triangle, 1 or 2 triangles? If so, then solve. B= 88 degrees, b= 4 and a=23. I know that A= (sin 88)(23)/(4)= A=5.74 degrees C= 180-5.74-88= C=86.26 degrees c=(sin86.26)(4)/(sin 88)= c=3.99 My question is how do you know if it's 0,1, or 2 triangles. And ...

Trig- math
Find the area of a triangle if the sides of the triangle have the lengths 849mi, 930mi, and 1301mi. Here's my work: a=849 b=930 c=1301 A=.5(849)(930)sinA sin A = 394,785 mi^2 (this number doesn't seem right to me, can you explain to me what I did wrong)?

trig
I need help setting this problem up. A force of 36lb is required to hold a 70lb toolbox on an incline. What angle does the incline make with the horizontal?

Trig
I need help with my vectors unit. I'm really confused about how to set them up. Please help. a.) Given u=2i-5j and v=-i+3j, determine -6u-3v? b.) Find the component form of v if |v|=4 and the angle it makes with the x-axis is 60 degree. c.) Given u=5i+3j and v+3i+2j, find (u)(...

Trig
Find the magnitude and direction angle for each vector. Give the measure of the direction angle as an angle in [0,360]. <5sqrt2,-5sqrt2>

Math (trig)
The distance from home plate to dead center field in a certain baseball stadium is 409 feet. A baseball diamond is square with a distance from home plate to first plate base 90 feet. How far is it from first base to dead center field? I also need help setting this up.

Math (trig)
A force of 35lb is required to hold a 72lb toolbox on an incline. What angle does the incline make with the horizontal? Please help me set this up.

Trig
Two tracking stations are on the equator 161 miles apart. A weather balloon is located on a bearing of N 32°E from the western station and on a bearing of N 16°E from the eastern station. How far is the balloon from the western station? Round to the nearest mile.

trig
a boat is tied by a rope 12 meters long to a ring that is 3.5 meters above the water.If the rope is taut find the angle it makes with the water?

Trig
Jane has a bike with a 22-inch rear wheel. The wheel sprocket is 3 inches in diameter and the pedal sprocket is 4 inches in diameter (the sprockets hold the chain.) How fast in miles per hour is she going if she pedals at a rate of 100 revolutions per minute?

Trig
the angle of elevation to the sun is 65 degrees. A building casts a shadow 16m long. What is the height of the building to the nearest meter?

Pre-Calc/Trig
Go over this with me please, I forgot how to do it. Solve the polynomial equation. 15x^3-119x^2-10x+16=0

trig
From the top of a tower of height 75m, a man sees two goats, both due west of him. If the angles of depression of the two goats are 10 degrees and 17 degrees, calculate the distance between them. It wants the angle of depression. I , myself, don't understand the question or ...

Derivative
Can you help me find the derivative of y= cos(x)/1+sin(x).. the / is a fraction bar. I have a hard time finding trig derivatives because I don't really know what the derivative of cos,sin ,or tan would be honestly.

Trig
Determine the intervals of continuity of f(x)= ln(sin(x)) I looked at the graph and I have no idea how to state the intervals.

Math
This one confused me since it revolved around what seemed like dividing trig function by another function Write the following expression in terms of the tangent function 2 / ((cos(r^2 - s^2) / (sin(r^2 - s^2)) = ? I know tan t = sin t / cos t. So would I multiply by the ...

Pre-Calc/Trig
Identify the asymptotes, removable discontinuities, and intercepts for the graph of the function. d(x)=(x^2-12x+20)/3x

Pre-Calc/Trig
What are the polynomial names for these functions. 1.) m(x)=x+x^2-1 2.) d(x)=x+ 3.14 3.) 2-6x^2+11x^3

Trig/Pre-Calc
Solve the polynomial equation. 15x^3-119x^2-10x+16=0

Pre-Calc/Trig
State the domain and range for each function. y=2x^2/(x^2-1) domain: ? range: ?

Pre-Calc/Trig...
Write a function with the following characteristics: A vertical asymptote at x=3 A horizontal asymptote at y=2 An x-intercept at x=-5

Pre-Calc/Trig
Identify the extrema for the function. Classify it as a relative (local) or absolute (global) maximum or minimum value. f(x)=4x^3-12x^2+15

math
Use Green's Theorem to evaluate F(x, y) = y cos x − xy sin x, xy + x cos x , C is the triangle from (0, 0) to (0, 4) to (2, 0) to (0, 0) I kind of understand how to do this , but I am having trouble with the trig

Pre-Calc/Trig
Describe the end behavior for function by writing a limit expression. f(x)=2x^5-x+7

Precalc/Trig
Sorry there are quite a few problems, but I just need to know if these are correct (and if they aren't, where I went wrong): 1. Solve these equations. tanθ = -√3 θ = 2π/3 + kπ θ = 5π/3 + kπ 2. secθ = √2 θ = π/4 + 2k...

calc/trig
A 84-ft tree casts a shadow that is 130 ft long. What is the angle of elevation of the sun?

trig
Find all angles è between 0° and 180° satisfying the given equation. cos è = 1/9

Pre-Calc/Trig
Help please State the x and y-intercepts for each function. f(x)= -x^3+4x

Pre-trig/Calc
Please help me. Use Descartes' rule of signs to describe the roots for each polynomial function. 3. m(x)=x^3+3x^2-18x-40

trig
if x is a positive acute angle, then express tan(180+x) as a function of x

Trig
House B is located at a bearing of N67°E from house A. House C is 370 meters from house A at a bearing of S68°E. House B is located at a bearing of N11°W from house C. Find the distance from house A to house B. (Round your answer to two decimal places.) Sorry, I would post ...

Find exact values for all the solutions to the equation cos theta = sqrt 3/2 for -2pi <= theta <= 2pi Theta = Theta = Theta = Theta =

Pre-Calc/Trig
Use Descartes' rule of signs to describe the roots of the polynomial function. m(x)=x^3+3x^2-18x-40

Pre-Calc/Trig
Help me please. List all possible rational zeros for the polynomial function. p(x)=3x^3-2x^2-5x-2

Math Trig Help
sin theta = x/3, with theta in the first quadrant, find the expression for cos theta and tan theta. Answers will be in algebraic terms of x. Give exact answers with 0 < theta <pi/2 (0 less than or equal to theta, less than or equal to pi/2 Cos theta ? Tan Theta?

Trig
A playground slide starts 107cm above the ground and is 250cm long. What angle does the slide make with the ground? Give the answer to the nearest degree.

TRIG WORD PROBLEMS
from 25 feet away from the base of a building, the angle of elevation from the ground to the top of a building is measured 38 degrees. how tall is the building. WHat i did was put 25 feet on the base of the triangle the angle measurement oppsite and the longer leg x is this ...

RIGHT TRIANGLE TRIG
a kite is being flown 150 yards of string. the kite has an angle of elevation with the ground 65 degrees. how high above the ground is the kite. I DON'T KNOW HOW TO SET UP THE PROBLEM

Pre-Calc/Trig...
Help me please Is the given linear expression a factor of the polynomial? Show work. f(x)=2x^3+x^2-5x+2; x+2

Math/Physics
My question is this: The potential at the surface of a sphere (radius R) is given by V_0 = k cos 3theta where k is constant. Find the potential inside and outside the sphere as well as the surface charge density (lower case sigma(theta)) on the sphere. (assume there is no ...

Physics
To move a large crate across a rough floor, you push on it with a force (F) at an angle of 21 degrees below the horizontal. Find the force necessary to start the crate moving, given the mass of the crate is 32 kg and the coefficient of static friction between the crate and the...