Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 62130: sin(^2)x(tan(^2)x+1

Click here to see answer by stanbon(57307)

Question 62149: Hi, I am having trouble with this exercise:
11sin^2y = 13-3sin^2y for y, where 0<= y <360, How many angles satisfy this equation?
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Question 62148: Hope you can help me:
Solve sin2y = cos4y for y, where 0 <= y < 360
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Question 62227: What are the names of the processes of calculating a value "within" the range of data and "outside" the range of data?? Thanks for your help...I am helping my son and am lost on this question. Robyn
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Question 62235: Prove that:
1 + cos A/ 1 - cos A = tan²A/(secA - 1)²
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Question 62224: My final problem of today is...

Thank you for all your help!
Click here to see answer by Edwin McCravy(8908)

Question 62219: Hello again! I have another problem which I hope you can help me with...

Thank you so much in advance!
Click here to see answer by joyofmath(189)

Question 62221: Please help me understand this problem aslo please...
Thank you again for helping!
Click here to see answer by funmath(2925)

Question 62200: Could someone help me with this problem.
g(x)=1-sin^(2)X where x is in radians
the function of g can be changed so it can also be described as h(x)=a sin[b(x+(pi/4)]+d
state the values of a, b, c, d.
Thanks for your help.
Click here to see answer by stanbon(57307)

Question 61261: determine ALL the exact roots of the equation by solving in an algebraic manner for the domain 0 degrees (less than or equal to)X(less than or equal to)360 degrees.
Thanks for your help!

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Question 62680: I have this problem and I need to solve it using Identies, but it also has restrictions such as theta is more than or equal to zero and theta is less than or equal to 360 the equation is this 4cos(squared, theta)-1=0
Click here to see answer by Nate(3500)

Question 62038: if a piece of real estate purchased for 75000 in 1998 appreicated at the rate of 6%, then its value t yreas after the pruchase wo; be f(t)=75000(1.06 rised to t). According to this model, by how much will the value of this property increase between the years 2005 and 2008?
Click here to see answer by josmiceli(9671)

Question 63043: P(4,0), m= -0.6
the problem asks me to find the equation in standard form using these points and the slope
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Question 63020: y=0.5x+2
I have to graph this need help
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Question 63178: if sin=3/7, find csc.
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Question 63177: if tan=1/3, find cot.
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Question 63185: if sec=5/9, find cos.
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Question 63185: if sec=5/9, find cos.
Click here to see answer by Earlsdon(6287)

Question 63188: if csc=2.5, find sin.
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Question 63192: if cot=0.75, find tan.
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Question 63200: if cos=0.125, find sec.
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Question 63198: if cos=0.125, find sec.
Click here to see answer by jai_kos(139)

Question 63197: if cos=0.125, find sec.
Click here to see answer by stanbon(57307)

Question 63372: sin3x + cos3x
------------- = 1-sinxcosx
sinx + cosx
prove this identity
Click here to see answer by venugopalramana(3286)

Question 63363: 4sin^2-3=0
tan2x=cotx
sinx=cosx=0
3tan^2x+4secx=-4
Click here to see answer by venugopalramana(3286)

Question 63545: I need to prove this identity, working only one side.
I have tried and tried but this one just won’t click with me!!

Thanks
Click here to see answer by joyofmath(189)

Question 63547: I'm not sure how to go about this one
cos( tan-1(1/2) + tan-1(1/3))
Thanks
Click here to see answer by venugopalramana(3286)

Question 63547: I'm not sure how to go about this one
cos( tan-1(1/2) + tan-1(1/3))
Thanks
Click here to see answer by joyofmath(189)

Question 63448: A little league team is building a backstop for its practice field. It is made up of two right angles . The backstop extends 24 feet 8 inches out each direction and the center pole is 6.5 yards high. all sides of the backstop including base and center pole are to be made of aluminum tubing. How many feet of tubing should the team buy?How many square feet of the backstop must be covered by a screen?

2) An indian sand painteer begins his picture with a circle of dark sand. He then inscribes a square with a side length of 1 foot inside the circle. what is the area of the circle?

3) three buildings abut. what are the dimensions of the courtyard and what is the perimeter of the building?
building 1 is 45'8" long and 16'3" wide
building 2 15'8"high and 18'9" wide
building 3 9'2"
you can draw the buildings and put them together with the court yard in the center of the three buildings.

4) A cylindrical can is just big enough to hold three tennis balls. the radius of a tennis ball is 5cm. what is the volume of air that surrounds the tennis balls?
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Question 63587: 2tanx=13
Do I divide both sides by 2?
If so, then what?
I just don't get it.
Thanks
Click here to see answer by joyofmath(189)

Question 63859: Hello! Here is the information I have been given and an explanation of what I need to do. Thanks for looking at this problem!
1 /316.3
2 /316.8
3 /317.4
4 /318.9
5 /319.9
6 /319.4
7 /318
8 /315.7
9 /314
10 /313.7
11 /314.8
12 /316
Write a sinusoidal curve for each in the form.
Describe how you arrived at your equation.
How well did your equation fit the data?
I have a couple of these to do and besides putting them in a list, am not sure where to start.
Thanks!
Click here to see answer by stanbon(57307)

Question 63894: How do you solve for theta(in degrees) in a formula without points?
Ex: tan (theta)=1.1111
theta = ?
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Question 64004: find the exact values of six trignometric functions of 0 if the terninal side of 0 in standard position contains the points (-5,-4)

find the exact value of: sin 405.

find the exact value of: sin60-cos60
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Question 64158: f(x)= 5, find the simplest form of f(x+h)- f(x)/ h.
f(x+h)- f(x)/ h = f(x+h)- 5/ h. Whats the next step?

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Question 61461: QUICK!
Could someone help me with this question.

Solve in an algebaic manner and state the general solutions.

Best regards in advance...
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Question 64345: convert this radian measure to degrees 3pi over 4
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Question 64343: convert to radians
12degrees
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Question 64342: what is the phase shift for 3sin(3x+pi/2)
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Question 64455: Hi. I'm not sure how to find the answer of this kind of equation:
2cos(3x)+1=0. now, i can get as far as cos(3x)= -.5 and replace the 3x with an "a" and divide. I now get 3x=2pi/3 and 4pi/3. my problem is that i have to solve over a (0, 2pi] domain, and i'm not sure how to alter the domain once i divide my answers by 3. please help! thanks.
Click here to see answer by stanbon(57307)

Question 64558: Compute the exact value of tan{tan^-1{1/5}+ tan^-1{2/3}}
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Question 64561: Find all solutions of theta
2cos^2{theta}-3cos{theta}=-1
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Question 64560: Express the follolwing in terms of x {x>0}
sin{cos^-1{x/2}}
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Question 64559: Find the exact value. cot{sin^-1{1/4}}
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Question 64724: find the directix of the parabola: y^2 = x
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Question 64721: find the vertex of the parabola: x^2 + 4x + 8y - 20 =0
Click here to see answer by josmiceli(9671)

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