Questions on Algebra: Trigonometry answered by real tutors!

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Question 443659: find exact value of each trig function of θ cosθ =(4/5) and 270°<θ<360°?
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Question 441068: how do i know when to use law of sin or law of cos when finding the area of triangle?
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Question 444824: By translation, graph y=sin(x-π/6) for 0 <= x <= 2π. Label all with coordinates intercepts and the peak and the valley.
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Question 444866: How do i derive the formulas for sin(theta over 2) , Cos(Theta over 2) and Tan(Theta over 2) from a figure
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Question 445211: if cos(x+y)=0.7547 and cos(x-y)=0.9703, then find the value of cos(x)cos(y).
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Question 444897: How to find the exact value of the angle 67.5 using half-angle identities? It says for sin, cos, and tan... Thanks!
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Question 445384: How do you solve cos2Θ = cosΘ where Θ, 0° ≤ Θ < 360°

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Question 445380: How do you solve: where Θ, 0° ≤ Θ < 360°
cos2Θ = cosΘ

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Question 445474: what would be the answer for sec 3.14/4 if you are rationalizing all denominators?
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Question 445499: find all solutions on the interval 0 ≤x≤2pi : sin^(2)x-3cos^(2)x=0
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Question 445373: Determine the exact rectangular coordinates of the point whose coordinates are P[-4,-3pie/4]
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Question 445626: A pulley with a diameter of 0.5 meters is beingused to lift a box. How far will the box rise if the pulley is rotated through an angle of 5pi/3 radius
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Question 445625: Find the possible equation of the SI function with amplitude 5 and period of pie/3
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Question 445816: Determine the angular velocity if 8.6 revolutions are completed in 7 seconds
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Question 445813: Find the area of a sector if the central angle measures 2pie/5 radians and the radius od the circle is 8 feet.
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Question 445885: State the amplitude and period for the function y = -7cos zeta/3
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Question 445902: please help with the following question i just cant figure it out it says
Find the three cube roots of Z = 5cos225degrees + jsin 225degrees and show these on an argand diagram
Which of these roots is the PRINCIPAL ROOT?

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Question 445987: Find the value of each expression.
1.sin–1 (–0.59)
2.cos–1 (0.95)

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Question 445877: Determine the linear velocity of a point rotating at an angular velocity of 8pie radians per second at a distance of 3 meters from the center of a rotating object
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Question 445815: Determine the angular deplacement in radians of 7.8 revolutions
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Question 445790: In a triangle, two sides that measure 8cm and 12cm form a angle that measures 80 degrees. Find, to the nearest degree, the measure of the smallest angle in the triangle.
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Question 445304: if alpha and beta are the measures of two first quadrant angles and tan alpha = 4/5 and tan beta = 3/4, find tan(alpha+beta)
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Question 445781: If x is a positive acute angle and cosx = 1/9, what is the value of cos 1/2x?
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Question 445435: tan(15)/1-tan^2(15)
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Question 446266: Determine the per annum interest rate r required for an investment with continuous compound interest to yield an effective rate of 5.25%. Express your answer as a percent. Your answer must be correct to three decimal places, as in 10.227%
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Question 446292: How do I solve this? 125/sin25deg = 150/sinB = c/sinC
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Question 446593: Two docks are directly opposite each other on a southward flowing river. A boat pilot wishes to go in a straight line from the east dock to the west dock in a ferryboat with a cruising speed of 8.0 knots. If the river's current is 2.5 knots, what compass heading should the pilot maintain while crossing the river? What is the actual speed of the boat relative to land?
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Question 446689: Prove: cos^2 z+1=2cos^2 z+sin^2
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Question 446738: can you help me solve 16=2^7x-5
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Question 446760: Can you help me find all the zeros of the polynomial P(x)= X^3+x^2-7x-3?
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Question 446695: graph and label y=3sin(2x-π/3)+1
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Question 446884: How would I solve e^5x=7?
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Question 447011: What is Amplitude?

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Question 447102: I need help with this question. solve the equation: log6(x+2)-log6x=2
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Question 447237: how do you find the amplitude of y=-2cos1/3x
how do you find the period, the phase shift and the tick marks for y=-4cos(x-3.14/3)

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Question 447463: in the right triangle ABC, C is the right angle and sinA=√ 3/2. what is the value of csc B?
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Question 447703: what is the slope of a binomial 185x^2+9x-2





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Question 447835: solve triangle ABC by using the given measurements. round measures of sides to the nearest tenth and measures of angles to the nearest degree. *A,B,& C are angles; a,b,& c are the sides*
B=27 degrees, b=7
A=10 degrees, b=15

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Question 447661: how to complete the square for (x-7)^2 = 6 show steps
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Question 447464: If x varies inversely with y and x=-4 when y=30, find x when y=24
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Question 447264: Please help me rewrite tan(cos^-1v) as an algebraic expression in v.
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Question 447099: I need help with this question. Find the balance for $1,000 invested at a rate of 8% for four years if the interest is compunded quarterly.
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Question 447907: for the quadratic function, write the equation of the axis of symmetry, and find the coordinates of the vertex
1)y=x^2+2x-9
2)y=1/2x^2-4x+3

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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, 9496..9540, 9541..9585