Questions on Algebra: Trigonometry answered by real tutors!

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Question 517822: what are the remaining five trigonometric func
tions of theta when sec theta = square root of 10, when tan > 0?

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Question 517849: What are the remaining trigonometric functions of theta when sin theta= square root 3/2, cos theta < 0.
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Question 517738: If cos x = -2/3 and x terminates in quadrant 2 find the exact value of cos 2x, sin 2x, and tan 2x...
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Question 517984: In the problem, solve the equation on the interval 0 is greater than or equal to theta is greater than 2 pie.
sin theta= square root of 2 divided by 2

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Question 518176: Establish the identity
sin (alpha + beta)/(cos alpha cos beta) = tan alpha + tan beta

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Question 517683: Not quite understanding what they are asking please help
Use the equation to determine f(x)=0
f(x)=-3cos(pie x - pie/2)-2

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Question 518162: What is the exact circular function value for csc 13pi/3?
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Question 517981: What is the exact value of csc(arctan (11/60)).
I found the arctan 11/60 = 0.1813197
Do i now find the csc of my answer? Please help me if you can thanks!

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Question 518495: Find the magnitude of the following vector:
v = 5i + 6j

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Question 518549: give the value of
sin^-1(cos x)
(limit solution to an acute angle.)

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Question 518554: Solve: cos-1(x) + cos-1(2x) = 60°

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Question 518661: an airplane takes off at a 12 degree angle and travels at a rate of 240ft/sec. how long does it take for the plane to reach an altitude of 10000 ft?
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Question 519012: exact value of tan3x when cos x=3/5
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Question 519106: Solve the equation for values for x greater than or equal to 0 and less than 2pi. Write the general solution first.
cos^2 x- sin^2 x = sqr3/2

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Question 519116: Find the exact value of tan 15 by using the composite argument property for tan(A + B) and clever choices for A and B. Write the answer in simple radical form.
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Question 519114: For what values in the interval 0 2-4 sin 2x < 0?
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Question 519205: I need help finding all the solutions to this equation.
sin(θ+2π) = (1/2)

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Question 519193: Find all solutions for equation:
tan^2x + 3tanx + 2 = 0

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Question 519102: prove the following is an identity
sin(theta+60degrees) + cos(theta+30degrees)= sqr3costheta

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Question 518722: Find the exact value of sine x when tan x = -1 over 2 times the square root of 2.
The co-sine of x is less than 0.

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Question 519335: sin(18pi)
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Question 519409: what is (x-1)ln4=2xln3
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Question 519452: (a) Find an angle between and that is coterminal with. and Find an angle between and that is coterminal with. Exact values???
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Question 519450: Find the EXACT value of the following tanα = -3/4 and α is in Q III and cosβ =-2/sqrt(5) (negative 2 divided by the square root of five) and β is in Q II. I do not think the tangent can be in the 3rd quadrant and still be negative because the opposite over adjacent would make both negative which would turn out positive, and other than that I am still lost.
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Question 519723: Prove the following is an identity
csc D cos^2 D + sin D = csc D

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Question 519837: how would you solve this 4x4 system of equations:
4w+ x+2y-3z=-16
-3w+3x- y+4z= 20
-w+2x+5y+ z= -4
5w+4x+3y- z=-10

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Question 520169: Find sinalpha if tan(alpha/2)=1/root2
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Question 520589: How do you solve tan 30 degrees?
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Question 520677: 6tan(x)-5=11tan(x) identify x values
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Question 520311: State the period and amplitude of the trigonometric function equation. f(x)= 4sin 2x
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Question 520105: Trying to prove this is an identity.
cos^3 J sin^2 J = cos^3 J - cos^5 J

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Question 520091: Prove the following equations is an identity.

csc f/ cos f - cos f/sin f = tan f

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Question 520738: Use references angles to find the exact value of each expression. Sin 300
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Question 521115: Solve the equation on the interval 0 less than or equal to theta which is less than 2pi.
cos(2theta) + 6sin2theta = 4
Thank you!!

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Question 521214: Find the exact value of the expression. Do not use a calculator. Cos^-1[cos(-5pi/4)]. And. Tan^-1[(-pi/4)].
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Question 520098: Trying to prove this is an identity.
cos^3 J sin^2 J = cos^3 J - cos^5 J

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Question 521388: The radius of the magnetic disk in a 3.5-inch diskette is 1.68 in. Find the linear speed of a point on the circumference of the disk if it is rotating at a speed of 387 rev/min.
Answer in units of in/sec

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Question 519724: Prove the following is an identity
(5 cos E - 2 sin E)^2 + (2 cos E + 5 sin E)^2 =29

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Question 521457: A=1/2bh. If the area of a certain triangle is 38 square centimeters and the base is 8 centimeters what is the height?
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Question 521951: Round to the nearest one: 0.00301
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Question 522030: 2x+5y=1
-x+6y=8

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Question 522180: solve equation, where 0(degrees)<= X <= 360(degrees). Round approximate answers to the nearest tenth of a degree.
3-5sin(x)=4sin(x)+1
show process of solving the equation, I alrady have the answers but do not understand how they were reached.
answers: 12.8(degrees), 167.2(degrees)

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Question 519692: Prove that the following equations is an Identity
1/1-cos C + 1/1+cos C = 2csc^2 C

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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