Questions on Algebra: Trigonometry answered by real tutors!

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Question 202605: prove sin 75 degrees – sin 15 degrees = cos 105 degrees + cos 15 degrees
Click here to see answer by jsmallt9(594) About Me 

Question 203109: i was wondering how you do these problems: The directions are to find the exact value of each expression.
6 cos 3π/4+ 2tan(-π/3)
and
sec ( -π/3)- cot (-5π/4)
please i am struggling to do this work. I would appreciate if you would explain in detail. Thank you in advance.

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

Question 203165: 2/(x-2)*2
1. what is the vertical asymptote
2. horizontal symptoto
3. what are the zeros if any ?

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Question 203602: Having trouble figuring out how to due this can someone help please...
Use integration by substitution to find..
int(3x^2-2)(x^3-2x)^7 dx
have no clue thanks

Click here to see answer by vleith(1977) About Me 
Question 203602: Having trouble figuring out how to due this can someone help please...
Use integration by substitution to find..
int(3x^2-2)(x^3-2x)^7 dx
have no clue thanks

Click here to see answer by stanbon(26291) About Me 

Question 203931: could you guide me about this? I dont have any idea to solve this kind of exercises and I don't know what do I have to do.Thanks.
Use the fundamental identities to find all of the trigonometric ratios if the variable satisfies the given conditions.
a) sin x=12/13 and cos x<0
b)cos x =-4/3 , sinx>0
c)tan x = -24/7 , sinx>0
d)tan x = 4/3 , sinx>0
e)cot x= 4 , sinx>0
f)cos x=3/5
p.s: I've written all cause I've thought maybe there are different points.

Click here to see answer by Alan3354(6092) About Me 
Question 203931: could you guide me about this? I dont have any idea to solve this kind of exercises and I don't know what do I have to do.Thanks.
Use the fundamental identities to find all of the trigonometric ratios if the variable satisfies the given conditions.
a) sin x=12/13 and cos x<0
b)cos x =-4/3 , sinx>0
c)tan x = -24/7 , sinx>0
d)tan x = 4/3 , sinx>0
e)cot x= 4 , sinx>0
f)cos x=3/5
p.s: I've written all cause I've thought maybe there are different points.

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

Question 203947: coul you help me about this?!?
Prove the identity

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

Question 203981: Could you guide me to solve and understand this?
Find the value(s) or range of values of K for which the lin y=2x+k
a) touches
b) cuts in real points
c)does not meet
the curve 2x^2+y^2=4
p.s: I thought maybe it's easier if I draw the circle and decide for the domain of K but I couln't do any thing with the coefficient of x^2 and I also couln't find any note about drowing a circle like mine.
What is more could you guide me if there is any automatic drawer in this site to draw the graph of trigonimic equations or equations like this ?

Click here to see answer by vleith(1977) About Me 

Question 203988: Grade of ramp is 1:14 If a floor is 1450mm high how long is the ramp.
Click here to see answer by Theo(675) About Me 

Question 204022This question is from textbook Mathematics For Technical trades
: Another question I struggle with is
Determine the angle measures of these.
a. sin = 0.4417 b. cos = 0.2448
c. tan = 2.0014 d. sin = 0.8661

Thank you janet
This question is from textbook Mathematics For Technical trades

Click here to see answer by jsmallt9(594) About Me 
Question 204022This question is from textbook Mathematics For Technical trades
: Another question I struggle with is
Determine the angle measures of these.
a. sin = 0.4417 b. cos = 0.2448
c. tan = 2.0014 d. sin = 0.8661

Thank you janet
This question is from textbook Mathematics For Technical trades

Click here to see answer by Earlsdon(4900) About Me 

Question 203983: Please help me solve this periodic functions question : 1. Write an equation for the following graph in the form y= asin kx
a) with a= 1/2, p= 3∏/2
( ∏=pi) (1/2, 3∏/2 are fractions)

Click here to see answer by jsmallt9(594) About Me 

Question 203979: Prove that the given equations are identities:
a)cos (30°+x)+ cos (150°-x)=0
b)cos (60°+x)- cos (300°-x)=0

Click here to see answer by jsmallt9(594) About Me 

Question 204114This question is from textbook Mathematics For Technical trades
: i HAVE ANOTHER MATH PROBLEM THAT i AM STUCK ON. CAN YOU HELP PLEASE?
Find the distance between the center of pulleys A and B. Pulleys A and C and A and B are at right angles to each other. Pulleys all have 14.5 mm diameters.



Thanks Janet
This question is from textbook Mathematics For Technical trades

Click here to see answer by Alan3354(6092) About Me 

Question 203978: Show that the sum of the two sine function is again a sine function:
5sin(x-2) + 5sin(x+2)=?

Click here to see answer by RAY100(1637) About Me 

Question 204309This question is from textbook Mathematics For Technical trades
: Given the sides of a right triangle. One is 25mm and the other is 37mm how do you find the missing side deminsion? Thanks JanetThis question is from textbook Mathematics For Technical trades

Click here to see answer by Alan3354(6092) About Me 

Question 204308This question is from textbook Mathematics For Technical trades
: Hi a right triangle has a side of .330 another side of .530 and another one of .787. Knowing that one angle has to be 90 degrees,what are the degrees of the other 2angles? ThanksThis question is from textbook Mathematics For Technical trades

Click here to see answer by RAY100(1637) About Me 

Question 204365: Can you help me solve this question: 1. Two sides of a triangle have lengths of 3 cm and 7 cm and meet at an angle of 60◦ . Find the area of the triangle.

Click here to see answer by RAY100(1637) About Me 

Question 204355: I want to calculate the hour line for a horizontal sundial:
tan x = (sin 40)(tan 15)

Thank you,
Ken Clark

Click here to see answer by Alan3354(6092) About Me 

Question 204473: Hi, I was hoping you can help me on this,
4. Write an equation for the graph of y=x^2 that has been vertically expanded by a factor of 4, horizontally compressed by a factor of 1/5 , reflected across the y-axis, translated 3 units to the right, and up 4 units.

Click here to see answer by stanbon(26291) About Me 

Question 204615: Jacqueline is checking her bicycle’s wheel. The wheel has a radius of 20 cm, and its center is 51 cm above the ground. Jacqueline is rotating the wheel at a constant speed of 225°/s. The height of a point on the tire as a function of time is given by h = 51 + 20 sin(225t), where h is the height in centimeters and t is the time in seconds. Find h when t = 19 s. Find your answer to the nearest tenth of a centimeter.

Click here to see answer by Earlsdon(4900) About Me 

Question 204635: hi i am really having trouble with converting rectangular coordinates to polar coordinates because i first have to graph the points and find four different ways to express those points with differing angles.
the points that i am having trouble with are (-10,-10)

Click here to see answer by Alan3354(6092) About Me 
Question 204635: hi i am really having trouble with converting rectangular coordinates to polar coordinates because i first have to graph the points and find four different ways to express those points with differing angles.
the points that i am having trouble with are (-10,-10)

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

Question 204651: hi i am really having trouble with converting rectangular coordinates to polar coordinates because i first have to graph the points and find four different ways to express those points with differing angles.
the points that i am having trouble with are (-8,-15)

Click here to see answer by Alan3354(6092) About Me 

Question 204702: verify the trigonometric identity:
(sinx-siny/cosx+cosy)+(cosx-cosy/sinx+siny)=0

Click here to see answer by stanbon(26291) About Me 

Question 204696: Can you please help me solve this trigonometric identities question: 1)Prove the following identities.
a) sinx cosx/tanx=1-sin^2 x

Click here to see answer by stanbon(26291) About Me 

Question 204698: verify that each of the following is an identity:
1) cos x/ 1-sin^2x= sec x
2) sec x/sin x - sin x/cos x = cot x
3) 1+tan^2ø/ cos ^2ø = sec^4 ø
I really need ur help :) thank u so much

Click here to see answer by stanbon(26291) About Me 

Question 204708: Can you please help me solve this trigonometric identities question: 1)Prove the following identities.
a) 1-cos^2 x=tan^2 xcos^2 x

Click here to see answer by vleith(1977) About Me 

Question 204710: Can you please help me solve this trigonometric identities question: 1)Prove the following identity.
a) sinx/1-sin^2 x= tanx/cosx
Use LS=RS

Click here to see answer by jsmallt9(594) About Me 

Question 204765: How do you solve 4x^2+1 show all your work
Click here to see answer by Alan3354(6092) About Me 

Question 204764: how do you solve 49-9y^2 show all your work
Click here to see answer by Alan3354(6092) About Me 

Question 204705: Can you please help me solve this trigonometric identities question: 1)Prove the following identities.
a)

Click here to see answer by alicealc(98) About Me 

Question 204828: can you hhelp me on this problem: 1) A parabola has a vertex of (5,4) and x intercepts of 1 and 9. What is the equation of the parabola?
Click here to see answer by scott8148(3382) About Me 

Question 204836: THE PRICE OF AN ITEM IS GIVEN BY THE FOLLOWING POLYNOMIAL: P=3X-4 WHERE X IS THE NUMBER IF ITEMS SOLD.
REVENUE IS FOUND BY MULITPLYING THE PRICE BY THE NUMBER OF ITEMS SOLD. WRITE THE POLYNOMIAL REPRESENTING THE REVUNUE..


MY ANSWER: R=P(3X-4)

Click here to see answer by rfer(2688) About Me 
Question 204836: THE PRICE OF AN ITEM IS GIVEN BY THE FOLLOWING POLYNOMIAL: P=3X-4 WHERE X IS THE NUMBER IF ITEMS SOLD.
REVENUE IS FOUND BY MULITPLYING THE PRICE BY THE NUMBER OF ITEMS SOLD. WRITE THE POLYNOMIAL REPRESENTING THE REVUNUE..


MY ANSWER: R=P(3X-4)

Click here to see answer by MathTherapy(336) About Me 

Question 204821: Hi, I was hoping you can help me on this:
Two students standing 3000M apart see the same airplane flying in the sky between them. Student A measures the angle of elevation to be 37 degrees. Student B measures the angle of elevation to be 30 degrees. How high is the airplane.

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 204822: Urgent request. Can you help me solve this problem:
1) The concentration of salt in Lake Ontario doubles every 7.25 years. If the current levels are 312.5 parts per million, a) Find an expression for the concentration of salt in Lake Ontario after n years.
b) The concentration levels of salt in the Dead Sea are 10 000 parts per million. How long will it take for the concentration of salt to reach these levels in Lake Ontario?

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 205006: Can you please help me thanks alot
Reduce (csc^ x - sec^ x) to an expression containing only tan x.

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

Question 205030: Evaluate cos((7pi)/8)
I have this so far
cos^2 theta=(1/2)(1+cos(2theta))
cos((7pi/8))= sqroot((1+cos(7pi/4))/2)
= sqroot((1+ ((sqroot2)/2))/2)
=sqroot((2+sqroot2)/4)
=(1/2)(sqroot(2+sqroot2))
but it is marked wrong, is there supposed to be a negative somewhere?
Thank You

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

Question 205078: A woman standing on a hill sees a flagpole that she knows is 60 ft tall. The angle of depression to the bottom of the pole is 14 deg and the angle of elevation to the top of the pole is 18 deg. Find her distance x from the pole.
Click here to see answer by stanbon(26291) About Me 

Question 205115: Two cyclists leave the corner of State Street and Main Street simultaneously. State Street and Main Street are not at right angles; the cyclists' paths have an angle of 45o between them. How far apart are the cyclists after they each travel 7 miles? Hint: Use the Law of Cosines
Can you explain how the law of cosines works and how it would apply to this problem?
Thank You

Click here to see answer by Alan3354(6092) About Me 
Question 205115: Two cyclists leave the corner of State Street and Main Street simultaneously. State Street and Main Street are not at right angles; the cyclists' paths have an angle of 45o between them. How far apart are the cyclists after they each travel 7 miles? Hint: Use the Law of Cosines
Can you explain how the law of cosines works and how it would apply to this problem?
Thank You

Click here to see answer by Theo(675) About Me 

Question 205114: The following facts are true about triangle ABC:
[measure_angle_B=120 degrees, AC=x(sqroot3), BC=x
How many choices are there for the measure of angle A?

Click here to see answer by stanbon(26291) About Me 
Question 205114: The following facts are true about triangle ABC:
[measure_angle_B=120 degrees, AC=x(sqroot3), BC=x
How many choices are there for the measure of angle A?

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

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