Questions on Algebra: Trigonometry answered by real tutors!

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Tutors Answer Your Questions about Trigonometry-basics (FREE)


Question 585136: What is 2cos^2 θ + cosθ -1=0 using the interval 0 ≤ θ < 2 π?

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Question 585139: What is sin(2θ)sinθ=cosθ using the interval 0 ≤ θ < 2 π?
Click here to see answer by Alan3354(30993) About Me 
Question 585139: What is sin(2θ)sinθ=cosθ using the interval 0 ≤ θ < 2 π?
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Question 585134: What is sin^2 θ-1=0 using the interval 0 ≤ θ < 2 π?

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Question 585705: Please help me solve this problem.
Solve the equation on the interval 0<= theta < 2 pi.
tan^2 theta = (3/2) sec theta

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Question 585985: a bicyle wheel made a 3:25 revolutions through how many degrees did it turn
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Question 586176: How does 27 degrees become 3 Pie over 20
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Question 586448: is x+4 a factor of x^3+3x^2-10x-24?
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Question 586488: Let θ be an angle in quadrant II such that secθ=-(13)/(12)
Find the exact values of cotθ and sinθ...

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Question 586488: Let θ be an angle in quadrant II such that secθ=-(13)/(12)
Find the exact values of cotθ and sinθ...

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Question 586529: How to prove that cos3x= 4cos^3x - 3cosx ?
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Question 586560: find the exact values of sin2u, cos2u, and tan2u using cosu= -2/7
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Question 586602: I have a test tomorrow on Trigonometric Functions and I dont know how to do any of the chapter..Help??

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Question 586707: What is the exact value of cot - 30?
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Question 586699: v=1/3 pi r2 h
(make h the subject of the formula)
ive got to v-1/3=pi r2 h
whats the opposite to pi??
(sorry i dont have the mathmatical symbols correct that is r ( squared ) i know the opposite of square is square root,... )

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Question 586855: solve for x.
tan(x)= - square root (tanx)^2
the square root and tan^2 cannot cancel out. what is the algebraic solution?

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Question 586927: I am trying to figure the area of a sector of a circle with theta degree being 80 and the radius being 8. When i convert to radians for the degrees i get 4pi/9 then i put that into the equation for area which is 1/2r^2 xtheta and so my equation looks like 1/2(8)^2 x4pi/9 and get 44.68 which is not right.
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Question 587150: Two cabins are observed by a ranger in a 60 feet tower above a park. The angles of depression are 11.6(degrees) AND 9.4(degrees). How far apart are the cabins?
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Question 587142: The figure shows an angle θ in standard position with its terminal side intersecting the unit circle. Evaluate the indicated circular function value of θ. Find Tan θ. the given x,y points are (-5/13, 12/13)
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Question 587834: How do I prove this identity:
(1 + cos x)/(sin x) + (sin x)/(cos x) = (cos x + 1)/(sin x cos x)

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Question 587878: cos^2x-sin^2x=2cos^2x-1 verify the identity
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Question 587887: cos(-x)/1+sin(-x)=secx+tanx verify the identity
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Question 587923: Find all values of x in interval [0, 2(pi)] that satisfy sin2(x)=cos(x).
I am having a problem with this question. I am getting half of the values in the answer so I am missing something. Any help would be great!

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Question 588028: The formula used to solve this problem is A=P(1+r/n)^nt
The problem is Kevin deposits $1000 at 9% annual interest, compounded quarterly. How long will it take for the account to earn $1000 interest?

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Question 587982: Find the exact value for each trigonometric function.
cos 675


8. csc (-240)


9. cot 900



10. tan 570


11. sec (-780)


12. csc 90



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Question 588281: I need to know the amplitude and period of y=4cos(3.14x)+4
If a graph can be shown that would be helpful as well

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Question 588295: A 24 foot ladder is leaning against a building. Let x be the distance between the bottom of the ladder and the building and let theta be the angle between the ladder and the ground.

The question is to express theta as a function of x. The furthest I can get on this is to set up this: cos(theta)=(x/24) I do not know what to do next? Thank you!

Click here to see answer by jim_thompson5910(28536) About Me 

Question 588366: A child is riding on a Ferris wheel whose diameter is 82ft. If the Ferris wheel completes one revolution every 18 seconds, how fast (nearest 0.1) is the child moving while the wheel is turning?
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Question 588443: if a 100 ft building casts an 88 ft shadow, what is the angle of elevation of the sun
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Question 588572: I need to prove this problem:
sec^2 t / tan t = (sec t)(csc t)

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Question 588804: 1. from the top of the cliff, a geologist spots a dry riverbed. the measurement of the angle of depression to the riverbed is 70 degree. the cliff is 50 meters high. how far is the riverbed from the base of the cliff?
2. determine wheter triangle ABC, with b=11, c= 14, A=78 degree, should be solved by beginning with the Law of Sines or Law of Cosines. then solve the triangle. Round measures of sides to the nearest tenth and measures of angles to the nearest degree.
3. Determine wheter triangle ABC, with A= 22 degree, a=15, b=18, has no solution, one solution, or two solutions. then solve the triangle, if possible. round measures of sides to the nearest tenth and measures of angles to the nearest degree.

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Question 588748: If the hypotenuse of a right triangle is 10 inches, and an adjacent side is 5 inches, what is the measure of the angle between those two sides?

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Question 588493: determine the six circular function pi Over 4

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Question 588900: What are the 6 trigonometric functions for t = 5 pi/ 6
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Question 588902: evaluate the trigonometric fun sin 9pi/ 4 using its period as an aid.
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Question 588973: sin^2 12 degree+sin^2 40 degree+sin^2 50 degree+sin^2 78 degree
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Question 589049: Use a sum or difference formula to determine the value of the trigonometric function. cot(-7pi/12)
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Question 588979: Find the exact value:(without Calculator) Please show me how, i have an exam coming up! thank you in advance!
a) 2sin*2pie/3)-4tan*3pie/4
b) 4tan*5pie/3+7cos*(-pie/4)

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Question 588904: if sint = 1/3, find (a) sin(-t) and (b) csc(-t)
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Question 589312: Sin^2(theta)/1+cos(theta)=1-cos(theta)
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Question 589309: 1/sin(theta)cos(theta)-cos(theta)/sin(theta)=tan(theta)
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Question 589344: Find cos(theta) using tan 2(6^1/2)
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Question 589610: So confused on this! Help would be so appreciated
If sec (theta)= -13/5 and 90 degrees < theta < 180 degrees, find the exact value of sin 2(theta)

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Question 589613: 2sinx+cscx=0 find all solution
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Question 589607: So confused on this! Help would be so appreciated
If sec (theta) sin (theta) = 2, find the exact value of cot (theta)

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