Questions on Algebra: Trigonometry answered by real tutors!

Algebra -> Algebra -> Trigonometry-basics -> Questions on Algebra: Trigonometry answered by real tutors! Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

Algebra: Trigonometry

Solvers

Lessons

Problems, free tutors

Quiz

In Depth

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 124681: -3x^2+7x=-5 solve by completing the square. then write in vertex form
Click here to see answer by MathLover1(1183)

Question 124733: if a tent pole is 2m high and the rope is 2.4m, then hoe far from the base of the pole should the rope be pegged
Click here to see answer by bucky(1732)

Question 125010: Hello I have a question regarding cot 3pi/2. I am suppose to graph it in the rectangular coordinate system. I understand the answer is 0 but what I am wondering is can I actually draw a triangle? Wouldn't it just be a point at (0,-1)? My teacher is looking for reference triangles but I don't know how I could draw one with this point. Thanks.
Click here to see answer by josmiceli(3013)

Question 125223: Hi I have a question that I need help with, here is the actual question:
"The wheels on my skateboard have a diameter of 2.25 inches. If I am traveling at a rate of 15 mph, what is the angular speed of the wheels in revolutions per second?"
Now the answer I got is 37.35 revolutions/second. I don't think that is right. I was thrown off because it ask for angular speed and the formula is w=V/r, but to get revolutions wouldn't I need to divide 264in/sec by 2.25 times 2pi or just by pi?
Thanks
Click here to see answer by stanbon(26297)

Question 125246: How to prove prove sin(a + b) = sin(a)cos(b) + cos(a)sin(b) (even graphically)
Click here to see answer by Fombitz(2113)

Question 125340: Sketch the following polynomial and identify all intercepts, zeros, and include a chart showing points that are necessary to sketch the polynomial:
y=3x^3-14x^2+17x-6
Thanks in advance for the help. I already know how to make the chart, but the rest of the problem is troubling me.
Click here to see answer by stanbon(26297)

Question 125642: Add thirty-eight and nine tenths, five and fifty-eight hundredths, seven, and fifteen and eight tenths
Click here to see answer by Fombitz(2113)

Question 125641:
Add thirty-eight and nine tenths, five and fifty-eight hundredths, seven, and fifteen and eight tenths
Click here to see answer by checkley71(8405)

Question 126761: A projectile is fired vertically upward from a height of 600 feet above the ground. It's height h(t) in feet above the ground after t seconds is given by h(t)=-16t^2+803t+600
a) Estimate when the height of the projectile is 5000 feet above the ground.
b) Determine when the projectile will be more than 5000 feet above the ground.
c) How long will the projectile be in flight?
Click here to see answer by solver91311(5072)

Question 127164: The center of a circle represented by the equation (x-2)^2+(y+3)^2=100 is located in what quadrant
Click here to see answer by solver91311(5072)

Question 127180: If i=radical -1 what is the value of i^223
Click here to see answer by stanbon(26297)

Question 127179: What transformation of the graph of Y=x^2 would result in the graph of Y=x^2+2.
Click here to see answer by stanbon(26297)

Question 127177: a) The amount of money each member of a band earns playing at a graduation party varies inversely as the number of members in the band. If the band has five members, each member earns 70 dollars. Write an equation that models the relationship between the number of members in a band, n, and the amount each member earns, d.

b) Use the equation to calculate the amount each member earns if there are four members in the band.
Click here to see answer by stanbon(26297)

Question 126759: A ball is thrown vertically upward with an intitial velocity of 100 feet per second.
a) Determine a function h(t) that gives the height of the ball at time t seconds after it is thrown. The height function is h(t)=-16t^2+vt+h where v is the initial velocity of the ball and h is the initial height of the ball.
b) how long does it take the ball to reach its maximum height?
c) what is the maximum height the ball reaches?
Click here to see answer by stanbon(26297)

Question 127178: what are the roots of the equation 2x^2-5=0.
Click here to see answer by ankor@dixie-net.com(6693)

Question 127162: The time it takes to travel to a location varies inversely to the speed traveled. It takes 4 hours driving at an average speed of 55 miles per hour to reach a location. To the nearest tenth of an hour, how long will it take to reach the same location driving at an average speed of 50 miles per hour?
Click here to see answer by checkley71(8405)

Question 127225: Hello. Please help me ASAP- I need to turn this in quick. So I have a worksheet that says that I need to discriminate the solutions of the quadratic equation: x squared + 5x + 3 + a. How do I do it and what does the direction mean?
Thanks.
Click here to see answer by stanbon(26297)

Question 127621: x(x+1)^-3/4 + (x+1)^1/4.
please solve
Click here to see answer by stanbon(26297)

Question 129315: how many cubic feet of merchandise can fir into the trailer in the picture ( its a truck 12 high 13 feet wide and 72 feet in length
Click here to see answer by checkley71(8405)

Question 130107: on the same set of axes, sketch and label the graphs of the equations y= 2 cos 2x and y = -2 sin x in the interval 0 < x <
find the values which 2 cos 2x = -2 sin x
Click here to see answer by Edwin McCravy(2922)

Question 130134: A cyclist moves the pedals of a bicycle at 8 ft/sec. The pedals are connected to the center of a gear with a 4 inch radius by a 6 inch shaft. The gear is connected by a chain to a gear with a 3 inch radius. The 3 inch radius gear is in the center of a wheel with a 16 inch radius. What is the linear speed of the wheel in ft/sec.?
I missed this question on a test and it's been bugging me. I'm ok if I'm given rev/min. but this starts out with the pedals moving at 8 ft/sec. Help, I'm so confused!!

Click here to see answer by scott8148(3385)

Question 130978: Please help me to prove that tan^2(x) - sin^(x) = tan^(x) sin^2(x)
Click here to see answer by jim_thompson5910(13794)

Question 131351: A central angle intercepts an arc on a circle equal in length to the diameter of a circle. Find the measure, in radians, of the central angle.
Click here to see answer by josmiceli(3013)

Question 131547: can you explain it to me...i dont understand
Click here to see answer by solver91311(5072)

Question 131832: fond the period and amplitude of:
y=sin3x
y=-3sin2x
y=-2sin1/4x
y=5cos pi x/2
Click here to see answer by stanbon(26297)

Question 131789: Could someone please help me prove this identity.
1 + tan(squared)x/tan x= 2csc2x
I have tried it a number of times and am not having any luck.
Thank you.
Click here to see answer by solver91311(5072)

Question 131980: I am having a very hard time proving this identity
sin 2x + sin 4x/cos 2x - cos 4x = cot x.
If someone could help me that would be great. Also if you could break it down for me and explain what you did I would be very grateful. I have tried doing it several ways and can not figure it out.
Thanks so much.
Click here to see answer by TakeATuition.com(57)

Question 132067: What is the radius of a circle that has an area os 201cm^2
Click here to see answer by checkley71(8405)

Question 132365: verify that one side equals the other only work out one side
2sinxcos^3x+2sin^2xcosx = sin2x
Click here to see answer by stanbon(26297)

Question 132365: verify that one side equals the other only work out one side
2sinxcos^3x+2sin^2xcosx = sin2x
Click here to see answer by solver91311(5072)

Question 132370: Hello. I really do appreciate what you do here, and this is definately one quesion that i will ever bothr you with.
Would you be able to simplify
arccos(sin(5pi/4))

Click here to see answer by scott8148(3385)

Question 132404: Four 6-by-6 squares are drawn on a rhombus having two 30 degree angles. Find the area of the fifth square that is formed by connecting the centers of the squares.
Click here to see answer by solver91311(5072)

Question 132787: I need help verifying this identity, factoring is confusing me. Shouldn't I begin by factoring the top on the left side?

cos 5x cos 3x + sin 5X sin 3x CSC X
----------------------------- = -------
sin 3x - sin X 2
Click here to see answer by jim_thompson5910(13794)

Question 132844: I don't get how to verify trig identities such as: . How is this done?
Click here to see answer by jim_thompson5910(13794)

Question 133075: Hello!
I need help with a few problems that I'm having difficulty with.
1) [(1+i)/i] - [(3)/(4-i)]
For the common denominator, I got i(4-i)= 4i-1
Do you multiply this normally or do you need a conjugate?
2) (sqrt-15) * (sqrt-15)
I really do not understand this problem.
Any help would be greatly appreciated! Thank you!

Click here to see answer by solver91311(5072)

Question 133298: A lady bug is walking on the top edge of a bucket. If the radius of the opening is 8 inches and the lady bug has walked a path that is 14 inches long, what is the radian of measure of the central angle it has traveled?
Click here to see answer by stanbon(26297)

Question 133378: 3 to the -x power is equal to (1/3) to the x power....how do i prove this mathematically?
Click here to see answer by jim_thompson5910(13794)

Question 133378: 3 to the -x power is equal to (1/3) to the x power....how do i prove this mathematically?
Click here to see answer by vleith(1977)

Question 133377: Find each positive angle in the interval [0(degrees),360(degrees)). Remember to find reference angle first. Round to two decimal places.
a.) If 2cot theta - 3=7, find family member of theta in Q2.
b.) If sec beta = -3, find family member of beta in Q4.
c.) csc alpha = 5.2, when sec alpha < 0 (there are two angles).
Click here to see answer by stanbon(26297)

Question 133674: What is the answer to 5(2x-3y)^2?
I know the answer is 20x^2-60xy+45y^2 but I keep getting 20x^2-45y^2!
How do you get the right answer?
Thanks
Click here to see answer by scott8148(3385)

Question 134100: How do you represent tanA in terms of cotA?
Click here to see answer by vleith(1977)

Question 134643: I have done several of these but this one has me stumped?
You are standing 1214 feet from a building. A helicopter is hovering between you and the building. The angle of elevation from you to the helicopter is 56 degrees and from the base of the building the angle is 27 degrees. How far is the helicopter from you?

Click here to see answer by vleith(1977)

Question 135220: Multiplying and Dividing Radicals
Simplify.
1) 2+√3÷√3
2) √11+ 6 ÷ √27
3) 2√7x²y÷ -3√18x³y
4) 48√42x² ÷ 8 √6x
Click here to see answer by stanbon(26297)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790