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1. ### Tangent Properties Symmetry, domain, asymptotes, zeroes

im not sure how to solve the equation equal to zero
2. ### Tangent Properties Symmetry, domain, asymptotes, zeroes

ok i still don't think I get symmetry but for the range I've got {x: x cannot = -90,90,270,...,XER} this is from tan(theta) not from the equation I wrote in the first post. If i look at that equation on my graphing calculator i get {x: x cannot= 0.47, 1.53, -3.76, -4.80.. XER} the...
3. ### CHECK PLEASE Tan BEHAviour IN TRANSFORMATION

HOw does y-3=-\tan (-2x+\pi) differ from y=tan(x) y=-\tan [-2 (x+ \frac {\pi} {2} )] +3 rearranged It differs because it has a Horizontal compression by a factor of 1/2 it is reflected in the x and y-axis there is a horizontal translation \frac {\pi} {2} units to the left...
4. ### New equation? y=3tan(2x) shifted down 5 and 60 left?

Im not sure I think it is either y=3tan (2(x-60))-5 OR y=3tan(2x-60)-5 which will become y=3 tan(2 (x-30))-5 but I think this one is wrong if the first one is right then should the 60 have a negative or plus sign before it? HELP! QUICK! :cry: :cry:
5. ### Tangent Properties Symmetry, domain, asymptotes, zeroes

y=-2\tan (3x+\pi) +3 state the following period = \frac {\pi} {3} y-intercept=3 Range = {y: yER} Domain= {x: ?} Symmetry? Vertical Asymptotes? Zeros? Can someone please tell me how to figure out what is left there are so many zeroes and i can't read them off of my...
6. ### Compare y=Cos(x) and transformation HELP

How does the graph y=-3 \cos (2\theta+ \frac {\pi} {4}) +3 Differ from the graph of y=\cos\theta I think this graph is different because it has a vertical stretch by a factor of 3 and is translated upwards 3 units but I am not sure how to rearrange this to find the horizontal translation...
7. ### How to rearrange this trig function?

I needed to find the properties of this trig function this is what i got period=3 amplitude=0 max=2 min=-2 range{y:-2<=y<=2} domain {x:XER} horizontal phase shift 1 unit left no vertical shift Are these values correct? Should period have a unit with it or is just 3 fine? What about...
8. ### Check another trig behaviour

thanks so much the original question does have 90 degrees in it. You are right the horizontal translation should be to the right NOT LEFT! :smile:
9. ### Tricky Trig Function Find the eqn Help

Anyone else get the same answer as me?
10. ### Tricky Trig Function Find the eqn Help

Find the equation of a sine function that has a vertical displacement 2 units down, a horizontal phase shift pi/3 to the right, a period of pi/6, reflection in the y-axis and the amplitude of 3. my answer y=3\sin [-12(x+\frac {\pi} {3})] -2 is this what you get?
11. ### Comparison between y=sinx and

I have changed my original post is it correct now?
12. ### Check another trig behaviour

Did i do this question correctly?
13. ### How to rearrange this trig function?

Thanks so much that is a BIG HUGE HELP :rofl:
14. ### How to rearrange this trig function?

How do I rearrange this where do I begin? y= -2sin [ 2\pi * \frac {(t+1)} {3} ] I need to state the period, amplitude, max/min, range, domain, horizontal phase shift, and vertical displacement Im not sure how to rearrange the square brackets.
15. ### Comparison between y=sinx and

so if this is my equation y= a sin [b(x-c)] +d if c is positive it shifts to the left and if negative shifts to the right? or do you put the minus from this equation and the sign of ur question in my case (+) together and then if it is negative move to the left or positive move to the...
16. ### Check another trig behaviour

I don't think I am confused about radians and degrees some of my trig functions have radians in them so to make things simpler I convert to degrees but in this question i haven't done any converting that 90 is in degrees. :smile: sorry I added the x in the original function.
17. ### Y=-3sin(2x) shifted new equation?

i want c to be negative because it says shift 30 degrees to the left, isn't this correct?
18. ### Comparison between y=sinx and

Comparison between y=sinx and... y+3=2\sin(3x+\frac{\pi}{2}) vertical stretch by a factor of 2 horizontal compression by 1/3 no reflection in the x or y axis 30 degrees horizontal phase shift to the left and 3 units down vertical displacement. Can someone please check this?
19. ### Check another trig behaviour

y=2\cos (\frac {-1} {2}x + 90 ) -3 I changed the original function to y=2\cos [\frac {-1} {2} (x-180)] -3 period=-4pi amplitude=2 max=-1 min=-5 range={y:-5<=y<=-1} domain={x:XER} vertical displacement 3 units down horizontal translation 180 units left
20. ### Y=-3sin(2x) shifted new equation?

y=-3sin(2x) is shifted to the left by 30 degree units and up 5 units My new equation looks like this I am not sure if I did it right y=-3sin[2(x-30)]+5 what do you think?
21. ### Trig functions behaviour

is everything else correct too the period domain and shifts?
22. ### Trig functions behaviour

I got max = 4, min = -2 amplitude = 3 range = {y:-2 <= y <= 4} is this correct or have i done something wrong..please check and reply soon! :blushing:
23. ### Trig functions behaviour

Hi just need a little help with the behaviour of this trig function y=-3\cos (2x-\frac {\pi} {6}) +1 I converted the pi over 6 to degrees and got -30 need to state the period, amplitude, max/min values, range, domain, horizontal phase shift, and vertical dispacement. So far after...
24. ### Loci Conics Parabola eqn in standard form

I'm sorry I see all the equations but they are all the same and I still don't know how to solve for p.
25. ### Loci Conics Parabola eqn in standard form

Nope i meant focus not locus p stands for the focus of a parabola i don't understand what to do with all those equations. Can someone tell me how to solve for p?
26. ### Loci Conics Parabola eqn in standard form

that's what I have done in the last post...I'm still not sure what to do? pleasezzz help!
27. ### Loci Conics Parabola eqn in standard form

Well yes I think I do know two more points (0,-50) and (0,50) what do I do to complete my standard form equation? Do I sub in one of the points into x^2=4p (y-20) and then solve for p? I don't think I'm doing this right x^2=4p (y-20) 0^2=4p(50-20) 0=4p(30) 0=120p now...
28. ### Loci Conics Parabola eqn in standard form

I need to find the equation of a parabola in standard form if the domain of an arch under a bridge is {-50 <= x <= 50} and the range is {0<=y<=20} The span of the arch is 100 metres and the height is 20 metres. standard form of a parabola is (x-h)^2=4p(y-k) i know the vertex is...
29. ### Dimensions of an ellipse region a dog wanders

So what do you think will I get the full 8 marks? Is the solution correct? :smile:
30. ### Dimensions of an ellipse region a dog wanders

According to Halls of Ivy's good solution are my dimensions in the last post correct? For the dimensions do i have to write a number by a number or just the equation of the ellipse?
31. ### Mortgage monthly payment?

in cell E3 i have =E2+C3-B3 i think that is the same as what you wrote I don't understand why the balance isn't decreasing help me out where is my mistake I followed an example in putting in all the formulas :smile: Hey my teacher told me the payment numbers should be 1-60 not 1-5 because...
32. ### Mortgage monthly payment?

ok in my table that i made my heading are in the A1, B1, C1, D1 and E1 the first payment number 0 is in A2 and the oustanding balance 90000 for the first payment is in E2 I don't understand where you got a cell called E0? If you multiply 90 000 by the interest rate on a calculator you get...
33. ### Arch involving CONICS hyperbola equation

the 100 is positive because you did what? :cry: are we cross multiplying? or multiplying both sides by -100? what are we doing? That equation i wrote has a negative sign too did u see that? before the brackets.
34. ### Arch involving CONICS hyperbola equation

it can't be +100 on the rhs because this is the equation of a hyperbola. Using the information givin I am trying to find the equation of the hyperbola that could represent a arch with a span of 100 metres and maximum height of 20 metres. I was trying to solve k so that I could sub this value...
35. ### Arch involving CONICS hyperbola equation

hold on i changed what I did -\frac {(20-k)^2} {100} = -1 ok I cross multiplied and got 400-40k+k^2=-100 k^2 -40k+500=0 this is my quadratic using the quadratic formula i keep getting a negative under the square root why? b^2-4(a)(c) sqrt(-400) teacher said that k=10 and...
36. ### Arch involving CONICS hyperbola equation

ok I get \frac {k^2 +40 k-400} {100} =-1 is it possible to solve for k? once I find k i can plug it into the original equation to get a and then my standard form equation for the hyperbola representing the arch will be complete.
37. ### Arch involving CONICS hyperbola equation

i got h=0 and y=20 because the coordinate (0,20) is on the y-axis a cancels out because 0/a^2 =0 so only left with k as unknown get a quadratic function and get two values for k, which value do I take? choose a point let's say (0,50) and find a, these are the steps i have so far. Um for k...
38. ### Arch involving CONICS hyperbola equation

Your task is to design a curved arch similar to the a tunnel for cars. with a horizontal span of 100 m and a maximum height of 20 m. Using a domain of {x:-50<=x<=50} and {y:0<=y<=20} determine the following types of equations that could be used to model the curved arch. the equation of a...
39. ### Mortgage monthly payment?

sorry I edited my post i meant present not future. I don't if I am doing the next part right, my next question said create an amortization table for the first 5 years of the mortgage, and include a graph showing the declining balance at the end of each year. Here is what I have in excel...
40. ### Dimensions of an ellipse region a dog wanders

I think i understand on the x-axis the points of the vertices are (8,0) and (-8,0) I was wondering how do you know the hypotenuse of the right angle triangle is 4m? a=4m is the hypotenuse also a? My foci should be at (-2,0) and (2,0) right? I got the equation of the ellipse to be \frac {x^2}...
41. ### Mortgage monthly payment?

oh yes now i remember thanks the graphing calculator finds the nominal rate itself but if you were to do this using the present formula i'd have to plug in the nominal interest rate. Thanks so much
42. ### Dimensions of an ellipse region a dog wanders

This is a conic application question worth 8 marks You don't want your dog to run away so you place 2 steaks in the groud 4 metres apart and attach the end of a 8 metre long rope to each side of the stakes then you attach the dogs collar to a ring which slides along the rope. Describe the...
43. ### Mortgage monthly payment?

ok I think I understand that this is not a simple annuity but a general annuity therefore we have to find the nominal interest rate which was 8.546% compounded monthly is equivalent to 8.7% compounded semi-annually. Andrew you did this but I don't understand how my answer is right then...
44. ### Very Important Help Series

\sum_{i=7}^{92}(-7)^{i+7} the exponent is i plus 7 not minus. Also the answer is 86 not 85 but I don't know how to get the answer I tried so many times.
45. ### Very Important Help Series

no its (-7) to the exponent (i+7) hurry help
46. ### Very Important Help Series

I have a question is sigma notation 92 E (-7)^i+7 i=7 Is the number of terms in this series 99? Or 86, 89, or 96 I am so confused PLZ HELP IMMEDIATELY I think it is 99 because 92+7=99 but I am not sure