Questions on Algebra: Trigonometry answered by real tutors!

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Question 69609: How do I go about finding the exact value of tan(pi/4-pi/3)?
Click here to see answer by Edwin McCravy(2922) About Me 

Question 69604: How do I work out how to find the exact value of sin^-1(-sqt3/2).
Click here to see answer by Edwin McCravy(2922) About Me 

Question 69630: How would I express as a sum or difference 2sin(6u)cos(4u)
Click here to see answer by Edwin McCravy(2922) About Me 

Question 69642: I have been studying for an hour and cannot figure out how to do these problems. How do I find the exact value of a trigonometric funtion such as tan135 degrees? Thank you for your help.
Click here to see answer by stanbon(26297) About Me 
Question 69642: I have been studying for an hour and cannot figure out how to do these problems. How do I find the exact value of a trigonometric funtion such as tan135 degrees? Thank you for your help.
Click here to see answer by bucky(1732) About Me 

Question 69756: I am trying to work out how to go about finding the eact value of
tan(sin^-1(-4/5)

Click here to see answer by stanbon(26297) About Me 

Question 69754: How could I find the exact value of cos(sin^-1(3/5)?
Click here to see answer by stanbon(26297) About Me 

Question 69783: I have a Calculus problem that asks me to:
Find a formula for a function f that satisfies the following condition.
It can not be a piecewise function.
lim f(x) = 0
x→±∞
lim f(x) = -∞
x→0
f(2) = 0
lim f(x) = ∞
x→3+
lim f(x) = -∞
x→3-
So far I have:

I'm not sure how to deal with the f(2)=0 without making it piecewise.
Any help would be greatly appreciated.
Thank you so much.

Click here to see answer by stanbon(26297) About Me 

Question 69789: Find the exact value of sin(pi/3 - pi/4)
Click here to see answer by jim_thompson5910(13794) About Me 

Question 70001: the rectangular coordinates of a particular point are x=7, y=-24, find the polar coordinates..
Click here to see answer by bucky(1732) About Me 

Question 70003: convert the following equation to Cartesian coordinates,
r sin 0=-2

Click here to see answer by venugopalramana(3286) About Me 

Question 70004: solve the following triangles. given A=35degrees, b=2, c=3
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 70002: convert the following coordinates please..
polar r=15, 0=2.75 radians

Click here to see answer by jim_thompson5910(13794) About Me 

Question 70073: convert the rectangular equation y=5x+4 to a polar equation...thanks
Click here to see answer by Edwin McCravy(2922) About Me 
Question 70073: convert the rectangular equation y=5x+4 to a polar equation...thanks
Click here to see answer by bucky(1732) About Me 

Question 70074: the first example in a lecture of series is a^n=1/2^n can you write the recursion formula for this series?
please help with this, thanks

Click here to see answer by Edwin McCravy(2922) About Me 

Question 70175: Find the magnitude of the vector 3i - 3j.
Click here to see answer by stanbon(26297) About Me 
Question 70175: Find the magnitude of the vector 3i - 3j.
Click here to see answer by johnpickett(2) About Me 

Question 70173: Find the angle between two vectors (5,2) and (-2,5)
Click here to see answer by stanbon(26297) About Me 

Question 70740: Find the trigonometric form of the product [sqrt6cis(2pi/3)|sqrt6cis(-5pi/6)].
Click here to see answer by stanbon(26297) About Me 

Question 70743: An explorer heads east for 3 miles, makes a 45deg turn towards the left and heads NE for 3.6 miles. Estimate the straight line distance from the explorer's presnt position back to the start position.
Click here to see answer by checkley75(3666) About Me 
Question 70743: An explorer heads east for 3 miles, makes a 45deg turn towards the left and heads NE for 3.6 miles. Estimate the straight line distance from the explorer's presnt position back to the start position.
Click here to see answer by stanbon(26297) About Me 
Question 70743: An explorer heads east for 3 miles, makes a 45deg turn towards the left and heads NE for 3.6 miles. Estimate the straight line distance from the explorer's presnt position back to the start position.
Click here to see answer by venugopalramana(3286) About Me 

Question 70748: Find a vector that has the same direction as 3i - 7j and twice the magnitude.
Click here to see answer by stanbon(26297) About Me 

Question 70757: I need to find the solution for d. 300=50/sin(d/2)
Click here to see answer by bucky(1732) About Me 

Question 70741: Given vectors a=3i - 2j and b=4i + 4j. Find 5a - 3b.
Click here to see answer by venugopalramana(3286) About Me 

Question 70742: A triangle plot of land has sides of lengths 130ft, 110ft, and 100ft. Approximate the smallest angle between the sides.
Click here to see answer by venugopalramana(3286) About Me 

Question 70162: Find the vector that has the same direction as 3i - 7j and twice the magnitude.
Click here to see answer by jim_thompson5910(13794) About Me 

Question 70835: Hi! I was wondering, I know this may be kind of elementary and seem like a stupid question, but I was wondering if you could possibly help me with a problem dealing with logarithms?
8logt-4logs+7logv
Thank you so much!!

Click here to see answer by Nate(3495) About Me 

Question 70821: A cable to the top of a tower makes an angle of 31deg with the level ground. At a point 100 yards closer to the tower the angle of elevation to the top of the tower is 57deg. Estimate the length of the cable.
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 70995: Find the trigonometric form of the quotient [10cis(7pi/4)]/[2cis(3pi/2)]
Click here to see answer by stanbon(26297) About Me 

Question 70997: A vertical pole sits beside a straight but sloping road. A straight cable from the top of the pole reaches the ground 35 feet from the base of the pole on the down side of the slope. If the cable makes an angle of 20deg with the top of the pole and 50deg with the sloping ground, approxiamte the height of the pole.
Click here to see answer by stanbon(26297) About Me 

Question 70998: A radar operator sights two objects, one a t a distance of 7 miles and the other at a distance of 12 miles. If the angle between the sightings is 35deg, how far apart are the objects?
Click here to see answer by Earlsdon(4900) About Me 

Question 70996: Find the work done by the constant force 4i - 2j if the point of application moves along the line segment from P(1,1) to Q(5,7).
Click here to see answer by venugopalramana(3286) About Me 

Question 70994: Use DeMoivre's theorem to write [3cis(pi/2)]^2 in the form a + bi without trigonometric functions.
Click here to see answer by stanbon(26297) About Me 

Question 71053: Find the partial fraction decomposition of .




Equate coefficients:


Solve the system and we get A=4 and B=-2
The PFD is:


Click here to see answer by galactus(28) About Me 

Question 72219: I have to solve a problem for theta. I have simplified it to: sin theta = -3.
But now I can't remember what to do after this step, to find theta! I know that theta is between 0 and 90 degrees...
Thanks in advance for your help!

Click here to see answer by jim_thompson5910(13794) About Me 

Question 72186: Find the determinate of the matrix
(8 + 4a 4)
(5 + 3a 3)
Possible answers are:
a.) 4
b.) 44
c.) 4 + 24a
d.) 44 + 24a

Click here to see answer by stanbon(26297) About Me 

Question 72864This question is from textbook
: I need to evaluate the six trigonometric functions of the angle 0. The lengths of the sides are 9 and 25. Please help me solve this problem. This question is from textbook

Click here to see answer by stanbon(26297) About Me 

Question 72889: I need to solve the equation cos^2(theta) = 4sin(theta)+4, on the interval 0<(theta)<2pi. I thought I had simplified it correctly using trig identities, but something went wrong. Thanks!
Click here to see answer by jim_thompson5910(13794) About Me 

Question 72935: what is the answer to this math problem?
Find the Product
(x + 3)(x + 2)

Click here to see answer by don vito(18) About Me 

Question 72939: (x + 1)(x + 1)
this one is the last homework problem question...thank again!

Click here to see answer by funmath(2873) About Me 
Question 72939: (x + 1)(x + 1)
this one is the last homework problem question...thank again!

Click here to see answer by tulioalvarenga89(4) About Me 

Question 72951: Hi i need help on my math problem, thanks for your help
A snowball is thrown into the air and its path can be modeled by the equation y=-x^2+6x+7 where y represents the verical height in feet and x represents the horizontal distance in feet
(a) Factor the equation above into two binomials
(b) Use the factors above to determine how far the snowball was thrown
(c) Briefly explain how you can use a graph to check your answers in part b
(d) The ball reaches its highest point after it travels 3 feet horizontally. Use the equation above and show algebraically how to find the height of the ball at this point.

Click here to see answer by stanbon(26297) About Me 

Question 73561: Find the real and complex solution of the equation
Click here to see answer by bucky(1732) About Me 

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