Questions on Algebra: Trigonometry answered by real tutors!

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Question 177268: The highest advertising sign in the world is a large letter I situated at the top of the 73-story First Interstate World Center building in Los Angeles. At a distance of 200 feet from a point directly below the sign, the angle between the ground and the top of the sign is 77.87°. To the nearest tenth, approximate the height of the top of the sign.
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Question 177285:
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Question 177300: Find the exact values of the trigonometric functions for sin, cos, tan, csc, sec, and cot when Opposite side = a and Adjacent side = a. Find hypotenuse leg?
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Question 177665: Write a quadratic function that has zeros - 2/3 and 5.
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Question 177665: Write a quadratic function that has zeros - 2/3 and 5.
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Question 177664: x + 3 over x^2-5x all this times (3x^2-17x+10)
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Question 177739: you are given a cube. the length, width, and height = x. if the length is increased by 12, the width is increased by 6, and the height is decreased by 4 than the volume doubles. find x.
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Question 179234: Please help :)
The vertical motion of a rubber raft on a lake approximates simple harmonic motion due to the waves. If the amplitude of the motion is 0.250 m and the period is 3.00 s, find an equation for the vertical displacement y as a function of the time t. SKETCH two cycles.

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Question 179237: Please help:)
Sketch the curves of the given trigonometric functions.
1) y=24cos6x
2) y=8sin(pi/4)x
3) y=0.8cos(x/6-pi/2)
4) y=250sin(3pix-pi)

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Question 179353: The blade of a saber saw moves vertically up and down at 18 strokes per second. The vertical displacement y(in cm)is given by y=1.2 sin 36 pi t , where t is in seconds. Sketch at least two cycles of the graph of y vs. t.
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Question 179428: Can someone please help me with these? I sure would appreciate some help :)
1. Determine the domain and the range of the given functions:
a) G(z)=4/z^3
b)F(y)=1-2sqrty
2. Evaluate the given function:
a) t(v)=(3v-2)/(v+t);find t(-2) and t(v+1)
b) F(x)=x^3+2x^2-3x;find F(3+h)-F(3)

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Question 179430: I need help dividing this equation.
(x^3 - 4x^2 + 5x - 6) / (x - 3)
I tried doing [x(x^2 - 4x + 5) - 6] / (x - 3) but I couldn't do anything with it. Thank you in advance.

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Question 179763: Find the reference angle R of the given angles. Give your answer to the nearest hundredth.
(a) 5
(b)-5
(c)3.5
(d)75

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Question 179763: Find the reference angle R of the given angles. Give your answer to the nearest hundredth.
(a) 5
(b)-5
(c)3.5
(d)75

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Question 179810: (3/x+7) + (4/x-3)
all over
(3/x^2+4x-21) + (1/x-3)

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Question 179936: What happens to the graph of a quadratic funtion when a constant is subtracted from the output?
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Question 179986: The simplified form of csc0/sec0 is
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Question 179984: The measures of all the angles in standard position which are coterminal with an angle whose measure is 400 degrees are given by the expression.
a. 400+360
b. 40
c. 40 + n360,neI
d. 40 + n 180, neI

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Question 179996: If csc 0 is 10.2593, then sin 0 is:
a. 0.0975
b. 0.0974
c. 0.0973
d. 0.0972

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Question 179995: The simplified form of tan0/cot 0 is;
a. 1
b. (tan 0)^2
c. (cot 0)^2
d. (sin 0)(cos 0)^2

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Question 179983: The measure of the angle in standard position coterminal with an angle whose measur is -200 degrees is,
a. -160
b.20
c. 560
d. 520

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Question 179982: The terminal arm of a negative angle in standard position has a measure of -290 degrees lies in quadrant
a. 1
b. 2
c. 3
d. 4

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Question 180065: Find cos D and tan D if sin D= root3/2.
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Question 180065: Find cos D and tan D if sin D= root3/2.
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Question 180063: Find sec C and sin C if tan C =-1 and cos C>0
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Question 180061: Determine exact values.
Find sin A and cos A if tan A=5/3 and cos A <0.

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Question 180062: Find sin B and cot B if cosB=-1/4 and tan B>0.
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Question 180062: Find sin B and cot B if cosB=-1/4 and tan B>0.
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Question 180080: This is probably a really dumb question, but can you please help me to understand how sin 210(degrees) = -1/2 and cos 135 (degrees) = 1/square root of 2?
I'm having a hard time trying to justify these problems and I'm sure it's just something really simple that I'm missing. When trying to find the exact value of the above expressions, do I draw a rough sketch of the angle, or do I just use the standard 30, 60, 90 degree triangle to find the ratio? Thanks!

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Question 180030: If the terminal arm of an angle B in standard position coincides with the negative y-axis then sin B is
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Question 180032: The refernce angle of all the coterminal angles given by 280 degrees + n360degrees, neI is
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Question 180031: The refernce angle of an angle in standard position whose measure is 905 degrees is
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Question 180098: If tan 0<0, then 0 is an angle whose terminal arm is in quadrants;
1 or 3
2 or 4
3 or 4
4 or 1

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Question 180100: Find sin E and csc E if tan E =5
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Question 180099: If sin 0<0 and cos 0>0, then 0 is an angle whose terminal arm is in quadrant
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Question 180127: Evaluate sin 390 degrees + cos (-45 degrees)-sin(-225 degrees)
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Question 180117: Csc 180 degrees is
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Question 180116: Sec 495 degrees expressed in terms of the refernce angle is
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Question 180120: The value of cos 3pi, where 3pi is radian measure , is
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Question 180119: Cot 7/3 pi, where 7/3 pi is radina measure, has the value of
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Question 180112: The particular solutions to the nearest degree for the equation cscA=square root2 is...
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Question 180111: One end of 30.4m long cable is attached to the top of a 22m tall vertical pole. The cable is extended as far as possible from the base of the pole and is attached to the ground.
1. What angle, to the nearest degree, does the cable make with the ground?
2. How high up the pole is the cable a horizontal distance of one meter from the pole?

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Question 180121: From the top of a 500m tall building the angle of depression to the top of another small building is 40 degrees and to the base of the smaller building is 50 degrees.
1. Find the horizontal distance between the buildings.
2. Find the height of the smaller building.

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Question 180514: If cos A>0 and tan A <0, then A is an angle in quadrant?
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Question 180507: Write the trig function as an algebraic expression: sin(2arctanx)
PLEASE HELP ME!!! I really don't know what to do.

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495