Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 487970: how do you solve tanx/x i can't quite figure it out.
Click here to see answer by richard1234(5390)

Question 488076: The terminal side of an angle theta in standard position coincides with the line 3x+y=0 in Quadrant II. Find csc theta to the nearest thousandth.
Click here to see answer by stanbon(57967)

Question 488213: A cam is in the shape of a circular sector. What is the perimeter of the cam if it has a radius of 1.875 cm and the central angle is 165.58 degrees?
Please help I suck at word problems

Click here to see answer by Theo(3504)

Question 488238: sin 2x + cos 60 = 0, 0 < x < 360.
i have been able to find out that sin inverse of -1/2 is -30, but how do i find answers in the 3rd and fourth quadrant for 2x?? then i can find x. my answers are coming wrong, and i can apply no suitable rule. please help, and show working if possible.
Click here to see answer by stanbon(57967)

Question 488390: Use calculator to find the following ratio. Round answer to the nearest ten thousandth. sec 3(pi)/8

Click here to see answer by rfer(12730)

Question 488421: what is the exact value of the expression of 11 sqrt 8 +6 sqrt 12 -5 sqrt 2
Click here to see answer by stanbon(57967)

Question 488395: Find an exact solution to the equation below so that 0 < theta < pi.
(1 + tan(theta))/sin(theta)= 0
theta =
Click here to see answer by lwsshak3(6761)

Question 488384: Find an exact solution to the equation below so that 0 < θ < π/3.
1 = sqrt(3)tan(3θ)
θ = _____________________?
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Question 488372: Find an exact solution to the equation.
1= 8 cos(3 x + 1) - 3
x = _________________?
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Question 488194: 4sec(180)-2sin^(2)(270)
Don't know where to start?
Maybe convert sec to 1/cos180?
example: 4(1/cos180)-2sin^2(270) ???
Click here to see answer by lwsshak3(6761)

Question 487667: A cam is in the shape of a circular sector. What is the perimeter of the cam if it has a radius of 1.875 cm and the central angle is 165.58 degrees?
Please help I suck at word problems
Click here to see answer by lwsshak3(6761)

Question 488839: I am having problems graphing this problem y=3/4sin(1/2 theta-pi). Please help
Click here to see answer by lwsshak3(6761)

Question 489852: What is the period of f(x)=5tan(2x)
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Question 490082: a 15-cm piece of wood is cut into two pieces. one piece is 7cm longer than the other. how long are the pieces?
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Question 490085: seven more than four times a number is the same as five less than eight times the number. what is the number?
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Question 488945: Please help me solve this question: Villages A,B,C and D are such that B is 4km due east of A, C is 3km due south of B and D is 4km South50degreeWest from C. Calculate the distance and bearing of A from D.
Click here to see answer by lwsshak3(6761)

Question 488823: Find the area of a sector of a circle having radius and central angle.
radius= 191 in
central angle= 86.42 degrees
Area of a sector=?
my answer was 157634401/18000..
Click here to see answer by lwsshak3(6761)

Question 487652: To find value of sin45/2
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Question 488005: Express -15° as an exact radian measure (as a fraction of p in lowest terms)

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Question 485230: what is the reference angle for 17 pi/12?
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Question 490403: Please help me solve this equation: Find sine and cosine of 135(degrees)
Click here to see answer by richard1234(5390)

Question 490915: I really need your help with finding an exact value while using an reference angle! Expression: cos 13pi/ 6
I thought the answer would be pi/6
Click here to see answer by Alan3354(31529)

Question 491310: angle finding in trig
Click here to see answer by Edwin McCravy(8999)

Question 491358: Evauluate:
(sin 42 / cos 48) * (cos 45 / sin 90) *cot 5 *tan 85
I worked out this sum and got the following answer
(tan^2 85)* cos 45

Click here to see answer by Alan3354(31529)

Question 491735: ALRIGHT, so I understand cos23pi/6 can be solved using the unit circle but I don't thoroughly understand HOW to count it to find the answer. What I mean by this is: do I start on 30 degrees, which is pi/6, and count every 30 degrees until I get to 23? ugh! I'm so confused, PLEASE help me! I will be most grateful toward you!
Click here to see answer by scott8148(6628)

Question 491355: If sin(a+2b)=root 3 /2 and cos(a-b)=1/2,find a and b.
Click here to see answer by lwsshak3(6761)

Question 491337: WHat is the range of y=x^2-10x+25
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Question 492115: a circle has a radius of 7 kilometers. A sector in this circle has an arc length of 18.2 kilometers. Find the centeral angle θ, in degrees, for this sector
Click here to see answer by ankor@dixie-net.com(15746)

Question 492294: By using the even-odd properties to find the exact value of each expression.
sin(-135(degrees))
sec(-pi)
tan( (-pi) / (3) )
I apologize for three questions but they are all related.
Click here to see answer by lwsshak3(6761)

Question 492290: How do I do this:
Given sin (theta) = (-15/13) and (theta) is in quadrant 3, find the exact value of each of the remaining trig functions of (theta).
Click here to see answer by lwsshak3(6761)

Question 492328: How do you solve the following problem:
If 90degrees < 0 < 180degrees and sin 0 = 10/26, then cos 0 =
Click here to see answer by lwsshak3(6761)

Question 492287: How would I find the exact value of
sin (6pi) ?
and
cos (-11pi/2) ?
Thank you
Click here to see answer by lwsshak3(6761)

Question 492285: Thank you for your time
Here is the question:
Let ( (-2/sqrt(5)), (1/sqrt(5)) ) be the point on the unit circle that corresponds to a real number, t. Find the exact values of the six trigonometric functions of t.
Click here to see answer by lwsshak3(6761)

Question 491741: find all solutions for x in the interval (0,2pi) for the equation sin x = -.9589
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Question 493016: Find all t in the interval [0, 2π] satisfying (cos t)2 + 4 cos t + 3 = 0. (Enter your answers as a comma-separated list.)
Click here to see answer by Alan3354(31529)

Question 486837: find all solutions to the equation: cot(theta)-radical(3)=0
write answer in radians in terms of pi
Click here to see answer by lwsshak3(6761)

Question 493736: A circle has a radius of 7ft. find the central angle in degrees for a sector with area of 50ft^2.
Click here to see answer by MRperkins(300)

Question 493646: Find all t in the interval [0, 2π] satisfying (cos t)2 − 6 cos t + 5 = 0.
Click here to see answer by lwsshak3(6761)

Question 494052: What quadrant does -905 degrees lie in?
Click here to see answer by lwsshak3(6761)

Question 494051: What quadrant does 1080 degrees lie in?
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Question 493132: Please help me solve this equation
Click here to see answer by lwsshak3(6761)

Question 493132: Please help me solve this equation
Click here to see answer by Alan3354(31529)

Question 494611: having some problems knowing what fits where please help
a)solve the following trigonometric equation for 0 degrees x 360 (there are arrows and are underlined pointing to the left hand side one after degrees and another after the x)
sin x-2 sin^2 x=0
b)prove the following trigonometric identity
sin x+sin x cot^2x=csc x
Click here to see answer by stanbon(57967)

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, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810