Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 117676: use an identity to simplify
4sin32cos32
Click here to see answer by stanbon(57967)

Question 117778: Write equivalent equations in the form of inverse functions for
a. x= y+ cos0(that 0 is suppose to have a line through it)
b. cosy= x(to the second power)
Click here to see answer by stanbon(57967)

Question 117789: solve:
cos -1(small in the upper righthand corner)x + cos -1(small in the upper right hand corner) 2x= 60degrees
Click here to see answer by stanbon(57967)

Question 117923: Give all positive values of the angles between 0degrees and 360degrees. Give any approximate value to the nearest minute only.
tan (x+15degrees)= 3 tanx
Click here to see answer by stanbon(57967)

Question 117922: solve. Give all positive values of the angle between 0degrees and 360degrees. Give any approximate value to the nearest minute only.
a.) cos 4x= sin2x

and if you can this is a problem I also had trouble with
b.) 3 sin(theta)-4 cos (theta)= 2
Click here to see answer by Edwin McCravy(8999)

Question 117947: sin^2x - sin^4x = (cos^2)(sin^2x)
sin^2x - (sin^2x)(sin^2x) = (cos^2x)(sin^2x)
sin^2x - (sin^2x)(1/csc^2x) = (cos^2x)(1/csc^2x)
sin^2x - (sin^2x/csc^2x) = (cos^2x / csc^2x)
cos^2x [sin^2x - (sin^2x / csc^2x) = (cos^2x / csc^2x)]
(sin^2x)(csc^2x) - sin^2x = cos^2x
(sin^2x)(csc^2x) = cos^2x + sin^2x
(sin^2x)(csc^2x) = 1
(1/csc^2x)(csc^2x/1) = 1
1 = 1
Can I prove the above identity this way? Or have I taken a leap of faith somewhere along the line?
Thank you very much.
Click here to see answer by jim_thompson5910(28715)

Question 117942: Whats is ( (SQRT3) + i ) ^ 9
or in other words the quantity of the square root of three plus "i" to the power of nine in a + bi form
Click here to see answer by stanbon(57967)

Question 117942: Whats is ( (SQRT3) + i ) ^ 9
or in other words the quantity of the square root of three plus "i" to the power of nine in a + bi form
Click here to see answer by jim_thompson5910(28715)

Question 117920: Verify the identity:
tan(2 tan^-1 x)= 2 tan (tan^-1 x + tan^-1 x^3)
Click here to see answer by Edwin McCravy(8999)

Question 118134: proof of x^0=1
proof of 2^0=1
Click here to see answer by Nate(3500)

Question 118423: Hello, I have several problems which I attempted. However, I dont understand why one is vector and the other scalar.
Use the vectos u=<2,2> and v=<-3,4> to find the indicated quantity. State whether the result is a vector or a scalar.
1) u X u
2) (u X v)v I got <-6,8> vector
The first one says that it is 2 sq.root 2 squared, which is 8, and scalar.
Why? What is the difference?
Big thank you to who explains this. You people are amazing, and thank you for your time.

Click here to see answer by jim_thompson5910(28715)

Question 118485: i need help on finding out how to factor -x^4+1.5x^3+8x^2-1.5x-7
Click here to see answer by stanbon(57967)

Question 118487: how do i find the x- intercepts of -x^4+1.5x^3+8x^2-1.5x-7?
Click here to see answer by stanbon(57967)

Question 118492: What is the relationship between the x-intercepts, the factors ( ( x+2) (x+1) (x-1) ( 2x-7) and zeros ? for problem -x^4+1.5x^3+8x^2-1.5x-7
Click here to see answer by stanbon(57967)

Question 118505: which of the following angles is coterminal with 35 degrees?
A) -330 B) 16 C) 400 D) -1045 E) 73
Click here to see answer by tutor_paul(490)

Question 118491: I need to verify ( ( x+2) (x-1) (2x-7)) these factos to see if they are corret either through long division or synthetic division.
Click here to see answer by ankor@dixie-net.com(15746)

Question 118679: Hello I have a few problems that I can't get, if anyone could help me, that would be great!
1) A sliding door moves along the line of vector PQ. If a force is applied to the door along a vector that is orthogonal to PQ then no work is done. True or False, justify your answer.
Orthogonal is perpendicular, right? So if force is applied to the long side of the door, then the door moves so work is done? But how can you show this mathematically?
2) sin2x - sqrt3sinx = 0 FInd exact solutions of the equation in the interval [0,2PI)
I got to as far as 2sinx-cosx - sqrt3sinx = 0
Thank you in advance to any tutors that help!
Click here to see answer by bucky(2189)

Question 118685: how do i graph all of these?
A)the length of time an oven has been turned on and the oven's temperature are related.
B)the angle at which you have to look up to see the sun depends on time of day. make the domain extend for several days.
C)the number of cars in the student parking lot and the time of day are related.
Click here to see answer by stanbon(57967)

Question 118681: Can anyone help explain how to do this problem to me please?
FInd the exact values of the trigonometric function given that sinu= -12/13 and cosv= 24/25 (Both u and v are in quadrant IV.)
Thank you.
Click here to see answer by stanbon(57967)

Question 118688: hey!,
could u please solve this equation for me.
Find the area of triangle ABC, if angle A= 46 degree, AC= 4.5cm, and AB= 6.8cm.
Could u please solve it.
i will be waiting for the solution.
thank you,
Click here to see answer by stanbon(57967)

Question 118684: how do i graph this?
Your car stalls, and you roll to a stop without putting on the brakes. The car's speed depends on how long it has been since it stalled.
Click here to see answer by m.hansen(16)

Question 118840: prove that cosxcotx + sinx = cscx
Click here to see answer by jim_thompson5910(28715)

Question 119090: how do i solve the following equation for values of x in the range
0 degrees < x <360 degrees
6sin^2 x - sinx - 2 = 0
Click here to see answer by Edwin McCravy(8999)

Question 119649: What values for x must be excluded in the following fraction?

x-3
-----
(4x-5)(x+1)
Click here to see answer by tutor_paul(490)

Question 119980: For each function, find f(-2), f(3), and f(7).

1. f(x)= 5x + 2
Click here to see answer by jim_thompson5910(28715)

Question 120239: -12 is greater than or less than 24x
Click here to see answer by checkley71(8403)

Question 121066: I need to find a rectangular equation equivalent to r = cos(theta)
A) x^2 + y^2 = x
B) x^2 + y^2 = y
C) x^2 - y^2 = x
D) x^2 - y^2 = y
E) None of these
I must be doing something wrong as I am not getting any fo these and am fairly sure the answer isn't E. Thank you!

Click here to see answer by jim_thompson5910(28715)

Question 121899: Please help me solve the equation sin x=0.75
Click here to see answer by stanbon(57967)

Question 121954: 5) Find the period of f(x) = 3 - 2cos(3x+pi)
a) 2 pi / 3
b) Pi / 3
c) Pi / 6
d) Pi
e) 2 pi
Click here to see answer by jim_thompson5910(28715)

Question 121955: 6) find csc(arctan 8/15)
a) 17/8
b) 8/17
c) 15/17
d) 17/15
e) Undefined
Click here to see answer by jim_thompson5910(28715)

Question 121956: 7) For x E [0,2pi), solve: cos2x = cosx
a) 2 pi/3, 4pi/3 and pi
b) 2 pi/3, 4 pi/3 and 0
c) Pi/3, 5pi/3 and 0
d) Pi/6, 5pi/6 and pi
e) 5pi/6, 7pi/6 and pi
Click here to see answer by jim_thompson5910(28715)

Question 122078: #10
Find the coordinates [r, theta] of all points of intersection:
r = 2sin(theta) and r = 1

a) [½, pi/3] and [½, 5pi/3]
b) [½, pi/6] and [½, 5pi/6]
c) [1, pi/3] and [1, 5pi/3]
d) [1, pi/6] and [1, 5pi/6]
e) None of these

Click here to see answer by jim_thompson5910(28715)

Question 122525: 11) A rectangular equation equivalent to r = sin(theta) is:

a) x^2 + y^2 = y
b) x^2 + y^2 = x
c) x^2 – y^2 = y
d) x^2 – y^2 = x
e) none of these

Click here to see answer by jim_thompson5910(28715)

Question 122526: 12) for x E[0,2pi), solve sin x = cos x

a) pi/2 , 3pi/2
b) pi/4 , 5pi/4
c) pi/4 , 3pi/4
d) 3pi/4 , 7pi/4
e) None of these

Click here to see answer by jim_thompson5910(28715)

Question 122528: 15) f (x) = 5x-1/2x+3 find the inverse function f^-1 (x)

a) -1-3x/2x-5
b) -1-3x/2x+5
c) 2x+5/1+3x
d) 5x-1/2x+3
e) 1-5x/3+2x

Click here to see answer by jim_thompson5910(28715)

Question 122530: 16) a ball projected vertically upward from the top of a tower has height (in feet)
h(t) = -16t^2 + 64t + 80 after t seconds. At what time will the ball hit the ground?

a) t=2
b) t=5
c) t=4
d) t=1
e) none of these

Click here to see answer by jim_thompson5910(28715)

Question 122531: 17) If log 3 = 1.4 and log 5 = 3.6, log 25/3=

a) 8.6
b) -0.8
c) 3.4
d) 5.8
e) 6.2

Click here to see answer by jim_thompson5910(28715)

Question 122536: 13) sec(arcsin 8/17)

a) 17/8
b) 15/17
c) 17/15
d) 8/15
e) None of these

Click here to see answer by jim_thompson5910(28715)

Question 122543: 14) In decomposing 7x-8/x^2-2x using partial fraction techniques, one fraction obtained is

a) 4/x+2
b) 4/x-2
c) 3/x
d) 3/x+2
e) 3/x-2
Click here to see answer by jim_thompson5910(28715)

Question 123115: 1)Find the value of lim(square root x)-(square root y)/x-a if lim x->a

Click here to see answer by Edwin McCravy(8999)

Question 123269: Law of cosines
solve the triangle. Round lengths of sides to the nearest tenth and measures of angles to the nearest degree
a=16, b=20, m angle B=40
Click here to see answer by stanbon(57967)

Question 123996: Ok, so I have my Honors Algebra 2 FINAL tomorrow and there is this certain type of problem I just don't understand. No matter how many times I try these types of problems I just can't seem to get them right. Could someone maybe explain to me how to do the following type of problem? That would be a huge help. I'm hoping that maybe a second explanation other than the one from my teacher will help me finally understand.
You could use this problem as an example.
Directions: Solve each equation for

Click here to see answer by Earlsdon(6294)

Question 124597: Graph y= 2x^2-7
Click here to see answer by checkley71(8403)

Question 124685: -3x^2+7x=-5 solve the quadratic equation by completing square
Click here to see answer by MathLover1(6812)

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