# Trigonometry

**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 350F. Its temperature as a function of time is given by T(t) = a(1 - e-kt) + b. The potato was 50F 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 ...

**Math Trig Please Help!!!**

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...

**Trig**

I need to the steps to get (1-sinx)(1+sinx)=cos^2 x

**Algebra 2 & trig**

joanna invested $7500, part at a 5.5% and the remainder at a 6% annual rate of interest. if she collected a total of 435 in interest at the end of one year, how much money was invested at each rate?

**Trig**

A weight is oscillating on the end of a spring. The position of the weight relative to the point of equilibrium is given by y=1/12(cos8t-3sin8t), where y is the displacement (in meters) and t is the time (in seconds). Find the times when the weight is at the point of ...

**Pre-Calc/Trig**

y=-x^2+5x+36 converting into intercept form is this the correct answer? y=(x+9)(x-4)

**Pre-Calc/Trig**

How?? I only know how to convert standard form functions into intercept form, but I do not understand how to do this. Convert the functions into standard form. 1.y=2(x-4)(x+3) 2.y-2=-3(x+4)^2

**Pre-Calc/Trig**

I have looked this up, but still cant figure out what it is.. What is the projectile motion function?

**Calculus/pre-trig**

Write the formula for the discriminant. State the types of roots for a quadratic equation, explaining how the discriminant helps you determine the type.

**trig**

simplify tan(-17 degree)+sin(24 degree)+cot(73 degrees)+cos(66 degrees in(-24 degree)

**Pre-Calc/Trig**

How would I solve this one? I just can't get this one. 6x^2+11x-35=0

**Pre-Calc/Trig**

Have i solved this correctly? x^2+3x-28=0 (x+7)(x-4)=0 x=-7 or 4

**Pre-Calc/Trig**

How would I solve this? x^2+10x+24=0

**Math, Trig/Pre Calc**

You have been asked to build a ramp for Dan’s Daredevil Motorcycle Jump. The dimensions you are given are indicated below. Find the height and incline in feet. Round to the nearest foot One side is 200 ft.The angle between the hypotenuse and the side of 200 ft is 13 degrees...

**Pre-Calc/Trig...**

Help me please Standard form: y=x^2-2x-3 Vertex form: ??? Intercept form: ???

**Math Trig**

I'll do my best to describe this problem. Given A=17 degrees, B=73 degrees , x=q, y=5 and z=r use the figure to find the exact value of q and r x = base y = leg z = hypotenuse a = angle between z and x b = angle between z and y 90 degree angle = between x and y Solve for q and...

**Trig calc**

Find the coordinates of the point at -45 degrees on a circle of radius 3.6 centered at the origin. Round your answers to three decimal places.

**Trig**

Find the coordinates of the point at -10 degrees on a circle of radius 2.7 centered at the origin. Round your answers to three decimal places.

**Math Trig**

A kite flier wondered how high her kite was flying. She used a protractor to measure an angle of 40 degrees from level ground to the kite string. If she used a full 120-yard spool of string, how high, in feet, was the kite? (Disregard the string sag and the height of the ...

**Trig calc**

A) P is approximately (0.883, 0.469), is a point on the unit circle with angle 28 degrees estimate the following. Sin 152 degrees = Cos 152 degrees =

**Trig / Calc**

What angle (in degrees) corresponds to 18.96 rotations around the unit circle? Enter the exact decimal answer.

**Trig/Pre-Calc...**

Please help me with this. The finishing time for a runner completing the 200-meter dash is affected by the tail-wind speed, s. The change, t, in a runner's performance is modeled by the function shown below: t= 0.0119s^2 - 0.308s - 0.0003 Predict the change in a runner's ...

**Trig**

Verify and identify, I am so confused on how to do this? this is an extra credit but I am lost, please help. cot(Ý-ƒÎ/2)=-tan Ý