Questions on Algebra: Trigonometry answered by real tutors!

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Question 546665: State the reference angel associated with each rotation, then find the associated point (x,y) on the unit circle. Express non-integer values in the answer as reduced fractions, if necessary.
theta = 5pi/3
5pi/3 is in which quadrant?
so the point is ?

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Question 546763: How do I use the difference identity to find an exact value for cos(-15). I was able to get the answer of sqrt(6)- sqrt(2) all over 4. But, the correct answer did not subtract the sqrt(2), it added it. I'm not sure what I did wrong! Please help me! Thanks!
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Question 546823: what is the x-intercept for 3x-2y= -12
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Question 546730: What is the phase shift?
y=9sin(5x+pi/5)
i thought it was pi/5 but my teacher said it was wrong

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Question 547080: Find the exact value of the expression: sin(tan^-1(-1))
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Question 546902: Use double-angle identities to find values of the sine and cosine functions for each angle measure.
Find sin theta and cos theta given cos 2 theta = 5/13 and 0 < theta < pi/2
cos theta:
sin theta:

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Question 546632: explain how to transform sin%28x%29%2Atan%28x%29%2Bcos%28x%29 into sec%28x%29
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Question 547339: A 96- foot tree casts a shadow that is 120 long. What is the angle of inclination of the sun.
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Question 547500: Whats the first step to answering this equation, x^(3)-6x^(2)+6x=0 ?
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Question 547569: What would the answer be when you evaluate the function sec 11pi/6 without a calculator, and how would you do this?
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Question 547566: What would the answer be when you evaluate the function cot(-8pi/3)without a calculator?
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Question 547346: State the amplitude, frequency, and phase shift for the trigonometric equation y= 4 sin (3x-π) π= pie
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Question 547090: describe the relationship between the graphs of f and g ?
1.f(x) = cos x
g(x) = cos (x + pi)
2. f(x) = sin x
g(x) = sin 3x
3. f(x) = cos 4x
g(x) = -2 + cos 4x

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Question 546628: prove the given identity
(1+cot^2theta)sin^2theta=1

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Question 547218: Suppose that theta is an angle in standard position whose terminal side intersects the unit circle at (-3/5, -4/5). Find the exact values of cos theta, sec theta, and cot theta.
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Question 547084: Draw the graph of the function: g(x)= -cos(x/3)/3
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Question 546264: Evaluate each of the following.In each case,explain your thinking.
cos^(-1)(cos(-π/6))

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Question 545976: The exact value of 6cos(-61pi/6)-2sin(13pi/4) is...
A. 3squaroot(3)+squaroot(2)
B. -3+squaroot(2)
C. -3-squaroot(2)
D. 3squaroot(3)-squaroot(2)

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Question 547785: Use synthetic division to find P(-2) for P(x)=3x^3-2x^2-x+4
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Question 547677: LET theta=210 degrees find the exact valuse of sec, tan, sin.
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Question 546097: determine the exact value of cot 5pi/3 by using its co function identity
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Question 545805: cos(arcsin(-3/5))
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Question 547059: Find all the solutions of the equation Sin x/2=1/2
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Question 546217: To measure a stone face carved on the side of a mountain, two sightings 800 feet from the base of the mountain are taken. If the angle of elevation to the bottom of the face is 28 degrees and the angle of elevation from the top of the face is 31 degrees, what is the height of the stone face?
*I really do not even know where to begin with this problem

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Question 545802: csc[arctan(-1)]
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Question 545637: If sinB = -1/3 With B in QIV what is tan(B/2)
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Question 548151: prove sinx(secx+cscx)=tanx+1
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Question 548058: find the exact solutions of the given equation in the interval [0 ,2TT] cos x/2- sin x = 0
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Question 548252: Given a pont (5,-5) on the terminal side of angle)0 find the value of sin0

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Question 548447: What are the roots of the equation x^2-3x+7?
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Question 548469: Given a possible triangle ABC with a=16, b=25, and A= 22(degrees), find a possible value for B. Round to the nearest tenth.
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Question 548548: Please help me find the domain.
State the domain:
f(x) = (2x^2 - 9)/ (x^3 - 16x)

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Question 548475: Given that A= 25(degrees), B=43(degrees), and c=17, solve triangle ABC. Round to the nearest hundreth
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Question 548441: find the exact value of tan315 using a sum or difference identity.
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Question 548328: graph 3secx
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Question 548074: Jim purchased a Harley Davidson motorcycle for $17,399 in 2004. The value of the motorcycle depreciates at a rate of 13% each year. Which equation models the value of the motorycle x years after 2004?
A: M(x)=17,399(13)^x
B:M(x)=17,399(1.13)^x
C:M(x)=17,399(0.87x)
D:M(x)=17,399(0.87)^x

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Question 548596: sin2A=?
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Question 548957: how to find cos (sqt3 /2)in non programmable calculator?????????????

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Question 548836: Find all solutions in the interval [0,2pi) for tan(x/4)= sqrt (3)/3
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Question 549055: a person standing 60 inches tall casts a shadow 87 inches long. what is the angle of elevation of the sun to the nearest degree?
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Question 548857: How would I solve (tanX-1)(cosX+1)=0? over the interval [0,2pi]
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Question 549262: tan theta= -12/5 sin theta>0
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Question 549269: prove that :
1. 1+sin A/cos A = sec A + tan A
2. 1-(cos^2 A/1+sinA)= sin A
3. cscA-cotA = sinA/1+cosA
4. sec A - tan A = cos A/1+sinA
5. (1+tanA)/(1-tanA) = (cotA+1/cotA-1)

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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