# Questions on Algebra: Trigonometry answered by real tutors!

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

## Tutors Answer Your Questions about Trigonometry-basics (FREE)

 Question 61066: What is the advantage of helping students with their homework? What's in it for you guys? Are you simply pure philanthopic beings with the sole desire to help humanity, or is there a catch? I know I am being cynical, but there is no such thing as a free lunch. Click here to see answer by rfadrogane(214)

 Question 252061: determine the exact value of sin(2pie/3)cot(11pie/6-tan(5pie/4)sec(3pie/4) Click here to see answer by e.siddharth(1)

 Question 252272: log(logx)=2 Click here to see answer by Alan3354(31530)

 Question 252303: sina+1/sina= Click here to see answer by Alan3354(31530)

 Question 252388: 1) if the product (2x+3)(x+k)is 2x to the 2nd power + 13x+15 find the value of k 2)write a quadratic expression that is the difference of two squares. 3)factor 15m to the 4 power - 6m to the 2nd power + 9m 4)14x to the 5th power - 49x to the 8th power 5) subtract (-8x to the 4th power +3x)-(5x-4-x to the 4th power) Click here to see answer by richwmiller(9144)

 Question 252449: (tan A + Cot A)^2 = Sec^ 2 A + Cosec^2 A prove this Click here to see answer by palanisamy(496)
 Question 252449: (tan A + Cot A)^2 = Sec^ 2 A + Cosec^2 A prove this Click here to see answer by drk(1908)

 Question 252482: 4 sin squared x + 1= - 4 sin x Click here to see answer by stanbon(57967)
 Question 252482: 4 sin squared x + 1= - 4 sin x Click here to see answer by drk(1908)

 Question 252486: 2sin^2x+3cosx=3 Click here to see answer by drk(1908)
 Question 252486: 2sin^2x+3cosx=3 Click here to see answer by jim_thompson5910(28715)

 Question 250835: find cos θ given that cos2θ = 5/7 and 0≤θ<π/2 Click here to see answer by drk(1908)

 Question 250825: simplify the expression: cos^4x - sin^4x /cos^2x - sin^2x Click here to see answer by drk(1908)

 Question 252523: how do I go about solving sec(arcsin8/17)? Click here to see answer by richwmiller(9144)

 Question 252522: Please help me to solve : 2 tan y + 5 cosy y = 0 for 0 < y < 6 Thank You. Click here to see answer by Alan3354(31530)

 Question 251050: Heres 3 questions I was curious about Given sin A = 1/3 A in Quad II, CosB = -3/5 B in Quad III, find Sin(A+B) and tan2B _________________________________________________________________ Solve for x : 0 < or = x < or = 360 3cos^2x = cosx AND 3cos^2x - 5sinx = 1 ___________________________________________________________________ prove this identity: sin2x/sinx - cos2x/cosx = secx Click here to see answer by drk(1908)

 Question 252605: The height of the ocean at the dock is modeled by the function, h= 3sin(pi*t/4) +5 where h is measured in feet and t is the time in hours. If t=0 refers to 12:00 a.m., what is the height of the ocean at 10:00 a.m.? find the exact value of the vertical asymptotes for 0<=x<=pi for the function y=cot(3x) if sin(x)= -3/5 with x in the quadrant 4, find the sec(x) Thanks so much!! Click here to see answer by jim_thompson5910(28715)

 Question 252614: Can you help me solve this questions, please? The original ferris wheel, designed by George Ferris, was 250 feet in diameter. Making 1 revolution for every 40 seconds, h(t)=125sin(0.157t -pi/2) +125 represents the height h (feet) of a seat on the wheel at any time t (seconds). The ride begins when t = 0. During the first 30 seconds of the ride, at what time is a rider on the ferris wheel exactly 125 feet above the ground? and also, help me with: approximate the solution to 2cosx+x=0 to the nearest hundredth. Hints: it should be in radian mode and there are no () around the x+x Thanks so much!! Click here to see answer by jim_thompson5910(28715)
 Question 252614: Can you help me solve this questions, please? The original ferris wheel, designed by George Ferris, was 250 feet in diameter. Making 1 revolution for every 40 seconds, h(t)=125sin(0.157t -pi/2) +125 represents the height h (feet) of a seat on the wheel at any time t (seconds). The ride begins when t = 0. During the first 30 seconds of the ride, at what time is a rider on the ferris wheel exactly 125 feet above the ground? and also, help me with: approximate the solution to 2cosx+x=0 to the nearest hundredth. Hints: it should be in radian mode and there are no () around the x+x Thanks so much!! Click here to see answer by drk(1908)

 Question 250731: Prove the following identities (sin2x/sinx) - (cos2x/cosx)= secx Click here to see answer by drk(1908)

 Question 252656: if you are given two sides of a triangle and the included angle, how would you find the thirs side? Click here to see answer by Edwin McCravy(8999)

 Question 252654: Given triangle ABC with a=12,b=10 and c=8 find the angles in degrees and minutes. Click here to see answer by Edwin McCravy(8999)

 Question 252655: Find the area of the triangle ABC if a=40ft, b=25ft and c=30degrees. Click here to see answer by Alan3354(31530)

 Question 250626: WHAT IS THE 10TH TERM OF THE GEOMETRIC SEQUENCE 64,-32,16,8??? Click here to see answer by drk(1908)
 Question 250626: WHAT IS THE 10TH TERM OF THE GEOMETRIC SEQUENCE 64,-32,16,8??? Click here to see answer by palanisamy(496)

 Question 250620: solve the equation in the interval [0,2Pi). sin(pi-x)=1 Click here to see answer by drk(1908)

 Question 252807: A 8cm lron bar is to taper 2.50,and be 1 cm in diameter at the narrow end. Find the diameter of the larger end correct to three places of decimals. Click here to see answer by Alan3354(31530)

 Question 250600: SQRT -4(SQRT 36 cos 0 degrees/4 sin 90 degrees)-144+(5x5x5)) -16i/2 Click here to see answer by drk(1908)

 Question 253077: A 8cm lron bar is to taper 2.50,and be 1 cm in diameter at the narrow end. Find the diameter of the larger end correct to three places of decimals. Click here to see answer by richwmiller(9144)
 Question 253077: A 8cm lron bar is to taper 2.50,and be 1 cm in diameter at the narrow end. Find the diameter of the larger end correct to three places of decimals. Click here to see answer by Alan3354(31530)

 Question 252996: Q: A road constrution company has been constructed to build the road with grad of 12 percent. At what angle to the horizontal should be road be built? Click here to see answer by Alan3354(31530)

 Question 253117: 2x^2 - 5x > 7 Click here to see answer by JimboP1977(308)

 Question 253198: 20x6-7x5-6x4-500x4+175x3+150x2 Factoring this equation? Click here to see answer by richwmiller(9144)

 Question 253203: Given information: Solve for theta. 0 degrees is less than or equal to theta, which is less than or equal to 360 degrees. Problem: 30sin(cosx)=0 Click here to see answer by Alan3354(31530)

 Question 253255: Could you please help me prove that sin(x+y)sin(x-y)=cos^2y-cos^2x? This is what I have done so far... sin(x+y)sin(x-y)can be changed to(sinxcosy+sinycosx)(sinxcosy-sinycosx) Also, cos^2y-cos^2x can be changed to 1-sin^y-1-sin^2x I'm not sure if I am going about this the right way, so if not, could you please point me in the right direction? Click here to see answer by jim_thompson5910(28715)
 Question 253255: Could you please help me prove that sin(x+y)sin(x-y)=cos^2y-cos^2x? This is what I have done so far... sin(x+y)sin(x-y)can be changed to(sinxcosy+sinycosx)(sinxcosy-sinycosx) Also, cos^2y-cos^2x can be changed to 1-sin^y-1-sin^2x I'm not sure if I am going about this the right way, so if not, could you please point me in the right direction? Click here to see answer by drk(1908)
 Question 253255: Could you please help me prove that sin(x+y)sin(x-y)=cos^2y-cos^2x? This is what I have done so far... sin(x+y)sin(x-y)can be changed to(sinxcosy+sinycosx)(sinxcosy-sinycosx) Also, cos^2y-cos^2x can be changed to 1-sin^y-1-sin^2x I'm not sure if I am going about this the right way, so if not, could you please point me in the right direction? Click here to see answer by Greenfinch(383)

 Question 253423: f(x) = 4sin(3x+3.14/2) Click here to see answer by richwmiller(9144)

 Question 253499: Use the sine rule to solve for side a in the triangle with the dimensions A=35o , B=58o,b=27mm Click here to see answer by drk(1908)

 Question 253498: Find the value of a in the triangle ABC wher A=940,c=2.6m,b=3.9m. Give your answer correct to two places of decimals Click here to see answer by richwmiller(9144)

 Question 253555: Hello, I was wondering if anyone could help me solve this problem: If angles x and y are in the same quadrant, and sinx=3/5 and cosy=-5/13 determine the value of sin (x-y). I would greatly appreciate the help! Thanks, Justine Click here to see answer by drk(1908)

 Question 253571: Find a polynomial P(x) of degree 4 with zeros 2,2, 1-√3i, and with constant coefficient of 32. Note: The third zero is one minus radical 3 times i. Which is an imaginary number known as radical negative one. I am only given 3 zeros but I don't know the fourth zero! Can I assume the fourth zero is just x? I tried doing the problem: P(x)= 32 (x-2) (x-2) [x- (1-√3i)] I got stuck from here. Please help me! Thank you for your time! Click here to see answer by drk(1908)

 Question 253637: A radioactive substance has an initial mass of 100 grams and its mass halves every 4 years. Write an expression that shows the number of grams remaining after x years. I tried doing this problem by following this formula: initial mass times [1+ (r/n)]^nt r= rate n= number of 'stuff' I think it is the number of time periods which the substance halves. It should be expressed by t/4. t= time Since the problem is a decay model isn't the rate negative? So I believe it should be -0.5. 100 [1+((-0.5/(t/4))]^t/4*t I just get stuck here because it becomes very hairy and confusing... Click here to see answer by ankor@dixie-net.com(15746)
 Question 253637: A radioactive substance has an initial mass of 100 grams and its mass halves every 4 years. Write an expression that shows the number of grams remaining after x years. I tried doing this problem by following this formula: initial mass times [1+ (r/n)]^nt r= rate n= number of 'stuff' I think it is the number of time periods which the substance halves. It should be expressed by t/4. t= time Since the problem is a decay model isn't the rate negative? So I believe it should be -0.5. 100 [1+((-0.5/(t/4))]^t/4*t I just get stuck here because it becomes very hairy and confusing... Click here to see answer by stanbon(57967)

 Question 253677: I need help with a very difficult math assignment i have recieved my math teachers makes it way more complicated then it has to be. 1.) if sin x= (12/13), cos y=(3/5) and x and y are acute angles, the value of cos(x-y) is a.(21/65) b.(63-65) c. -(14/65) d. -(33/65) 2.) if the tangent of an angle is negative and its secant is positive, in which quadrant does the angle terminate 1,2,3 or 4 i thought it was the second quadrant but i dont understand the term terminate i wasnt sure if that ment the opposite of what it was. Click here to see answer by drk(1908)

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