Recent Homework Questions About Trigonometry
Calculus 2 (Differential Equation)
How would you solve the following problem explicitly? Sqrt(1-y^2) dx - sqrt(1-x^2) dy I separated the x and y terms and got: Integral of 1/sqrt(1-x^2) dx = Integral of 1/sqrt(1-y^2) dy I was wondering how would you take the anti-derivative of each function. I believe we are ...
Thursday, March 26, 2015 at 3:40am
calculus trig substitution
∫ x^3 √(x^2+9) dx If you work it can you write the steps? I really don't like the way my teacher teaches it. Someone else doing it might help.
Saturday, March 14, 2015 at 8:39pm
A frisbee is thrown within an angular velocity of 360 rpm. If the diameter of the frisbee is 12 inches, how fast does it travel when it hits the ground rolling on the side? round your answer to the nearest mph
Thursday, March 12, 2015 at 12:36am
Trig verifying identities
I am having trouble with this problem. sec^2(pi/2-x)-1= cot ^2x I got : By cofunction identity sec(90 degrees - x) = csc x secx csc-1 = cot^2x Then split sec x and csc-1 into two fractions and multiplied both numerator and denominators by csc and got: sec x csc^2x-1= cot^2x ...
Monday, March 9, 2015 at 7:07pm
i think its a or b Which scenario describes periodic behavior? A pendulum swinging back and forth A ball bouncing up and down on the ground The takeoff and landing of a jet plane The path a dolphin swims in the ocean
Friday, March 6, 2015 at 1:58pm
Solve tan(40/90) for the double angle cos(2theta). I know I use the x^2 + y^2 = r^2 formula and cos(2theta) = cos^2theta - sin^2theta. But I don't understand my answer
Wednesday, March 4, 2015 at 10:09pm
When you have completed your exam and reviewed your answers, click Submit Exam. Answers will not be recorded until you hit Submit Exam. If you need to exit before completing the exam, click Cancel Exam. Questions 1 to 20: Select the best answer to each question. Note that a ...
Thursday, February 26, 2015 at 12:45am
trig with enough info?
Two oil Wells are 4 km and 6 km from the river. The points along the river are 8 km apart. Find the common loading point on the river, using the shortest amount of pipe.
Wednesday, February 25, 2015 at 6:30pm
An airplane is traveling at a speed of 724 km per hour at a bearing of N30°E. If the wind velocity is 32 km per hour from the west, find the resultant speed and direction of the plane.
Monday, February 23, 2015 at 8:20pm
I worked this problem out but I do not fully understand what I am doing. Fire tower A is 30 kilometers due west of fire tower B.. A fire is spotted from the towers, and the bearings from A and B are N 76 degrees E and N 56 degrees W, respectively. Find the distance d of the ...
Saturday, February 21, 2015 at 6:48pm
I am having trouble with this question. A privately owned yacht leaves a dock in Myrtke Beach, South Carolina, and heads toward Freeport in the Bahamas at a bearing of S 1.4 degrees E. The yacht averages a speed of 20 knots over the 428-nautical- mile trip. A. How long will it...
Saturday, February 21, 2015 at 6:18pm
I have been working on this problem but I am not sure I am doing it right. During takeoff an airplane's angle of ascent is 18 degrees and its speed is 275 feet per second. A. Find the plane's altitude after 1 minute. B. How long will it take for the plane to climb to ...
Saturday, February 21, 2015 at 12:13am
Quadratic equations Trig
I am having a hard time figuring this out. I know I need to find the vertex from the vertex form equation but I am having a hard time figuring out the equation. A caterer will charge a certain club $20 per member to cater a dinner if 150 members attend. However, the cost per ...
Wednesday, February 18, 2015 at 5:42pm
You need a 100 pounds of two types of candy that cost 50 cents per pound and 75 cents per pound. A.) Verify that your total cost is c(x)=0.50x + 0.75(100-x) thx a ton:)
Tuesday, February 17, 2015 at 11:52am
The system of equations: |z-2-2i|=sqrt(23), |z-8-5i|=sqrt(38) has two solutions z_1 and z_2 in complex numbers. Find (z_1+z_2)/2. My first instinct on this problem was to square each equation given that the square of the magnitude of a complex number is much easier to deal ...
Monday, February 16, 2015 at 3:58pm
From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the opposite side of the runway are 6 degrees and 13 degrees respectively. The points and the tower are in the same vertical plane and the ...
Thursday, February 12, 2015 at 9:24pm
What would an example of a logarithmic function that contains two trig functions within it where you would need to use chain rule and product rule to take derivative look like? How would taking the derivative of the function in its original form look different when using log ...
Thursday, February 12, 2015 at 12:13am
I am currently taking a trig class. I need help understanding how to solve for sin,cos, and tan in problems which give an angle and a side length or the hypotenus. Any help would be muchly appreciated
Wednesday, February 11, 2015 at 6:45pm
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 ...
Monday, February 9, 2015 at 6:18pm
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
Monday, February 9, 2015 at 5:45am
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
Monday, February 9, 2015 at 5:40am
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 ...
Thursday, February 5, 2015 at 11:08pm
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
Wednesday, February 4, 2015 at 1:05pm
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...
Tuesday, January 27, 2015 at 9:53pm
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...
Wednesday, January 21, 2015 at 5:59pm
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 ...
Tuesday, January 20, 2015 at 9:32pm
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 ...
Sunday, January 11, 2015 at 5:40am
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.
Monday, January 5, 2015 at 8:09am
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)+cos(cx)+cos(dx) for all values of x. ...
Sunday, January 4, 2015 at 1:46pm
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. if the potato is 60F after 2 minutes, what is the value of k? ...
Tuesday, December 30, 2014 at 9:44pm
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...
Tuesday, December 30, 2014 at 9:30pm
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 ...
Monday, December 29, 2014 at 9:40pm
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 ...
Tuesday, December 16, 2014 at 7:40pm
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.
Thursday, December 11, 2014 at 10:27pm
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
Tuesday, December 9, 2014 at 11:14am
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
Monday, December 8, 2014 at 2:25pm
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 ...
Monday, December 8, 2014 at 1:01am
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...
Monday, December 8, 2014 at 12:21am
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 ...
Sunday, December 7, 2014 at 11:23pm
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 .
Saturday, December 6, 2014 at 2:49pm
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 ...
Thursday, December 4, 2014 at 11:18pm
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)
Wednesday, December 3, 2014 at 5:47pm
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 ...
Tuesday, December 2, 2014 at 7:50pm
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....
Monday, December 1, 2014 at 12:43pm
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 ...
Monday, December 1, 2014 at 1:25am
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
Sunday, November 30, 2014 at 11:15pm
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...
Wednesday, November 26, 2014 at 7:17pm
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. ...
Sunday, November 23, 2014 at 11:38pm
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)?
Sunday, November 23, 2014 at 7:25pm
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...
Sunday, November 23, 2014 at 7:03pm
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.
Sunday, November 23, 2014 at 1:58am
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.
Wednesday, November 19, 2014 at 8:30pm
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?
Monday, November 17, 2014 at 8:33pm