Questions on Algebra: Trigonometry answered by real tutors!

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Question 454345: How do you solve:
3tan^2(x)+4sec(x)=-4

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Question 454329: Use a graphing calculator to find the intervals on which the function f(x)=x^3-2x^2 is increasing or decreasing and find any relative maxima or minima.
Check my answers please if not right what should it be.
max: (-1.3333,1.1852)
min: (1.3333,-1.1852)
incr: (-infinity,-1.3333)(1.3333,infinity)
decr: (-1.3333,1.3333)

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Question 454166: find all solutions of the equation tan^2theta=3/2sec theta in the interval [0, 2pi)
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Question 435633: AIDS Cases. From 1993 to 2003 the cumulative number N of AIDS cases in thousands can be approximated by N = -2x^2 + 76x + 430, where x = 0 corresponds to the year 1993.
Year 1993 1995 1997 1999 2001 2003
Cases 422 565 677 762 844 930
A. Use the equation to find N for each year in the table.
B. Discuss how well this equation approximates the data.
C. Rewrite the equation with the right side completely factored.
D. Use your equation from part (c) to find N for each year in the table. Do your answers agree with those found in part (a)?

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Question 454197: how do i graph y=5cot((x/3)-(pi/4))
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Question 454173: evaluate the indefinite integral:
S= integral symbol (not sure how to write it)??
s(2-x)^6 dx

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Question 454727: if tanA= 5/12, find sin2a
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Question 454733: find the smallest angle, to the nearest degree, in the triangle whose sides are 5", 8" and 12"
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Question 454763: Please simplify each trigonometric expression:
1. cos 55º cos 25º + sin 55º sin 25º
2. sin 70º cos 10º – cos 70º sin 10º

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Question 454698: State the period and 2 consecutive asymptotes of the graph:\
a) y= csc x/3
b) y= 3 cot pi(x)/2

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Question 454902: In Exercises 25–32, determine whether A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A or if none of these answers applies.
A = {x | x ∈ N and x < 6}
B = {x | x ∈ N and 1 ≤ x ≤ 5}

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Question 455004: i am new to trigonometry.Could you please explain me every thing about it?Thank you!
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Question 454990: how do you show your work for the question?
find one angle with positive measure and one angle with negative measure coterminal with -310.

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Question 455021: The sides of a triangular plot of land are 50, 80, and 100 meters.
a) Find to the nearest degree the measure of the largest angle of the triangle.
b) Using the answer obtained in part a, find the area of the triangle to the nearest square meter.

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Question 455003: How can we find the length of one side of a triangle when two sides and an angle is given using sin and cos?Please give an example.
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Question 455176: Find the area of the sector given that the radius is 4.6 cm and the central angle (Theta) is 2.9 radians.
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Question 455175: Use reference angles to find the exact value of the expression, sin 180^
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Question 455174: Determine the quadrant in which the terminal side of (a) lies, subject to the conditions that tan a > 0, sin a < 0
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Question 455173: Assume that (a) is an angle in standard position whose terminal side contains the point (-12, -5). Find the exact values for the trig functions, sin a, cos a, tan a
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Question 455172: Suppose that the point (x, y) is in the Quadrant II. Decide whether the ratio r/x is positive or negative
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Question 455053: xsin84=36sin40
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Question 455002: How can we find the length of one side of a triangle when two sides and an angle is given using Sine and cosine?please give an example.
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Question 454997: How do we find the value of sin50 degree?
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Question 454762: Please simplify each trigonometric expression:
1. sin(40°) cos (50°)+cos (40°) sin (50°)
2. cos 105º cos 15º – sin 105º sin 15º

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Question 454530: How do you express functions in terms of the same function which has a positive acute angle.
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Question 454485: How would you work out sin[(π/2) -theta)]-cos theta=0?
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Question 455180: Find the slope of the line passing through the points (0, -4) and (-6, 7).
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Question 455373: Find the reference angles q for the angles given below. Find the quadrants in which the angles lie. In addition, show all the steps for deriving the answer.
q = 50 degrees
q = 120 degrees
q = 6p/7
q= 3.3
q = 300 degrees
q = -145 degrees

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Question 455388: What is the value of sin50degree?How can you find it?Thank you!
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Question 455416: graph of the function, y = -4 sin x.
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Question 455415: Identify the period and amplitude for the function, y = -3sin 5x.
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Question 455481: The lengths of two adjacent sides of a parallelogram are 42cm and 36cm. An angle of the parallelogram is 40degrees. Find the measure of the longest diagonal to the nearest tenth of a centimeter. (do you use the law of cosine?)
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Question 455545: sin(π/2-x)cot(π/2+x)=-sinx
Solve the identity.

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Question 455414: Write the equation of the reflected cosine function where the amplitude is 6, the period is pie/2, and the displacement is pie/8 units to the right.
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Question 455472: Find, to the nearest degree all of the values of x.. 2 cos^2 x + 2 sin x - 1 = 0
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Question 455587: sin(π/2-x)cot(π/2+x)=-sinx
solve the left side to make it right.

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Question 455264: Solve the equation for x: 2log base 5 of x + log base 5 of 3 = log base 5(1/125)
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Question 455707: prove:
2-cos^2x = 1+sin^2x

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Question 455769: graph y = 2sin x + cos(2.5x) over the interval [0,4Pie]
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Question 455769: graph y = 2sin x + cos(2.5x) over the interval [0,4Pie]
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Question 455767: Suppose that the point (x, y) is in the Quadrant II. Decide whether the ratio r/x is positive or negative.
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Question 455832: Describe the graph of the function y+=+3+sec+%28expr%281%2F4%29x%29

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Question 455867: Explain how to factor the following trinomials forms:
x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this. Show your answer using words and mathematical notation.
Thank you,
Angel

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Question 455924: What is the period of the function y= (1/2)sin (x/3 - pie)
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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