Questions on Algebra: Trigonometry answered by real tutors!

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Question 519689: Prove that the following equations is an Identity
(1- tanA)^2= sec^2A-2tanA

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Question 519644: how do you graph y= a sin b(x+2pie)+d
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Question 521601: Exact value of cos^-1(tan(3pie/4))
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Question 519428: Given that x is an acute angle such that COSx=3/5 .
Find SIN3x .

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Question 518238: 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 516964: 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 522730: The minute hand of a clock is 11 inches long. How far does the tip of the minute hand move in 25 minutes?
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Question 522763: Find all solutions of the equation in the interval [0, 2pi).
sin(2x)=((-sqrt(3))/2)

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Question 522806: If x is measured in radians, then the derivative of Sin[x] with respect to x is Cos[x].
Use the formula Sin [x degrees] = Sin [2π/360 x radians]
to calculate the derivative of Sin [x degrees] with respect to x.
Why does the resulting formula make calculus difficult if you insist on working with degrees instead of radians?
Thanks for any help you can offer!

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Question 522875: If tanx=-1/3 ; cosx>0 then
sin2x=
cos2x=
tan2x=

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Question 522884: SOlve 3sin(2a)-2cos(a)=0 for all solutions
a=


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Question 522880: Using a double-angle or half-angle formula to simplify the given expressions.
a) IF cos^2(22 degrees)-sin^2(22 degrees)=cos(A degrees), then
A=
b) IF cos^2(2x)-sin^2(2x)=cos(B), then

B=

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Question 522970: how can i solve without a calculator the exact value of tan (23pie/4) ??
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Question 522871: solve sin(5x)cos(8x)-cos(5x)sin(8x)=-0.5 for the smallest positive solution.
x=

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Question 523002: I am doing AS maths, and I need your help.
Solve the following equation for 0 < theta < 2pi, giving your answers as multiples of pi.
i) costheta = surd 3/ 2

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Question 523002: I am doing AS maths, and I need your help.
Solve the following equation for 0 < theta < 2pi, giving your answers as multiples of pi.
i) costheta = surd 3/ 2

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Question 523040: How do you complete the square of the quadratic expression: +x%5E2-3x+?
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Question 523075: How do you write this number in terms of i: +sqrt+%28+-81+%29+ ?
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Question 523104: Solve the equation on the interval 0 < theta < 2pi
cot 2theta/3 = -sqrt3

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Question 523103: Solve the equation on the interval 0< theta < 2pi
sec^2theta+tan theta=0

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Question 523100: Solve each equation on the interval 0 1-cos theta= 1/2
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Question 523582: solve sin(5x)cos(8x)-cos(5x)sin(8x)=-0.5 for the smallest positive solution.
give answer accurate to two decimal places

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Question 523736: tan[sin^-1(-3/5)+cos^-1(1/2)]
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Question 523753: Question:find two values of theta that saitisfy each of the equations below. Give your answers in radians
(0 < theta < or equal to 2 pi)
a. sin theta = - sqrt ( 2 )/ 2
b. sec theta = - 2 sqrt ( 3 )/ 3

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Question 523797: If sin^2(π/9) + sin^2(2π/9) + sin^2(3π/9) + sin^2(4π/9) = 9/4 , evaluate
cos^2(π/9) + cos^2(2π/9) + cos^2(3π/9) + cos^2(4π/9).

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Question 523850: A sprocket 3.16 inches in diameter is driven by a chain that moves at a speed of 55.5 in./s. Find the angular velocity of the sprocket in rev/min.


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Question 523858: If possible, find a solution to tan(2theta+7)=8
So find theta

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Question 523713: verify that sec(x)= sin^2(x)/cos(x)+ cos(x)
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Question 523472: are there two angles between 0 and 2pi with a tangent of 4
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Question 523394: tan(sin^-1(3/5))
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Question 524255: solve cos(56°-3x)=-0.79 in the range 0 < x < 360°
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Question 524591: one negative and one positive angle tht are coterminal with each other
-2Pi/5

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Question 524729: Approximate to the nearest degree, the solutions of the equation in the interval [0°, 360°).
(8cot(x)+1)(cos(x)-4)=0

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Question 524726: Find the EXACT solutions of the equation sin(x)+2cos^2(x)=1 that are in the interval [0, 2π).
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Question 524724: Approximate to the nearest degree, the solutions of the equation in the interval [0°, 360°).
6cos^2(x) = 11sin(x)+4

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Question 524888: how to graph 3tan3x
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Question 525073: verify: (1-sin x)/(1+sin x)=(sec x-tan x)^2
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Question 525104: My question is:
Suppose that you did not have a unit circle on the circle, but instead a circle with the radius of 5. Will the angle measure in degrees and/or radians change? Why or why not?
Please help. I think that it does NOT change but I'm not absolutely sure and I do not know how to explain it.

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Question 525248: Solve the equation on the interval 0 < theta < 2pi
cos^2 theta-sin^2 theta+sin theta=0

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Question 525245: Solve the equation on the interval of 0 < theta <2pi
sqrt 3 sin theta+cos theta=1

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Question 525359: cos(t)=-3/5 where pi Note: Give exact answers, do not use decimal numbers. The answer should be a fraction or an arithmetic expression. If the answer involves a square root it should be enter as sqrt; e.g. the square root of 2 should be written as sqrt(2).
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Question 525359: cos(t)=-3/5 where pi Note: Give exact answers, do not use decimal numbers. The answer should be a fraction or an arithmetic expression. If the answer involves a square root it should be enter as sqrt; e.g. the square root of 2 should be written as sqrt(2).
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Question 525332: I need to solve the triangle using the labels. I also need to round lengths of the sides to three sig digits and angles to the nearest tenth of a degree.
A = ?
B= ?
C = 108.5
a= 415 m
b = 325 m
c = ?

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Question 525637: A certain town is at a latitude of 35.2 degrees N. Find the distance in miles from the town to the north pole.
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Question 525769: The minute hand of a clock is 6 inches. How far does the minute hand travel in 20 minutes? What is the are swept out by the minute hand in 20 minutes? What equations do I use?
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