Questions on Algebra: Trigonometry answered by real tutors!

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Question 589608: So confused on this! Help would be so appreciated
Simplify (1-cos^2 (theta))/ (1+cot^2 (theta))
THANK YOU!!!!

Click here to see answer by lwsshak3(6513) About Me 

Question 589614: Find the value of tan (a+b) if sin a = -5/13, cos b = 4/5
270 degrees < a < 360 degrees
270 degrees < b <360 degrees
Thank you so much!

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Question 589671: Please Helppp
sin^4x + 2sin^2x cos^2x + cos^4x =1

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Question 589832: Prove that Sin squared theta divided by 1 minus cos theta is equal to 1 plus cos theta
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Question 590098: Solve the equation on the interval [0,2pi).
sin(x)sec(x)=2 sin(x)

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Question 590111: How do I solve the equation: 3 tan 2t = √3 in the interval from 0 to 2π
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Question 590134: Shelia is standing 500 ft away from the base of a building.Her eyes are precisely 5 ft above the ground. From this point, the top of the building makes an angle of 54 degrees with a line parallel to the ground. How tall is the building?
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Question 590169: Solve sin%5E2%28x%29 = 3cos%5E2%28x%29
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Question 589366:
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Question 590189: (1+sinx)[1+sin(-x)]=cos^2x
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Question 590318: an arc of a circle, with a 250 in. radius, is of length 75 in.what is the corresponding central angle?
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Question 590336: whats the value of cos 32 degrees 32' to the fourth decimal place

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Question 590645: find exact value of [tan(5pi/4)-tan(pi/12)]/1+tan(5pi/4)tan(pi/12)
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Question 590664: how do i shift f(x) = 4cos(3x)+1 to the right by pi/12?
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Question 590871: use half angle formula to find the exact value of sin(pi/12) I'm so not understanding this! Thank you for any help! :)
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Question 590915: Determine the limit (as x approaches 0) of (cos3x-cos4x)/x^2.
I've tried using L'Hopital's but the denominator would still be undefined...
Thank you.

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Question 590934: If cos x = -(2/3) and pi/2 < x < pi, what is the exact value of sin2x, cos2x, and tan2x
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Question 590951: Convert the following angles to radian measure. Express final answer in terms of pi.
1.) 390 degrees
2.) 240 degrees
3.) -1890 degrees
4.) 120 degrees 45 minutes
5.) -135 degrees 20 minutes 18 seconds
6.) -240 degrees 18 minutes 30 seconds
Convert the following angles to radian measure.
1.) 485 degrees
2.) 28 degrees 45 minutes 5 seconds
3.) -330 degrees 16 minutes 40 seconds
4.) -135 degrees 12 minutes 25 seconds

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Question 590944: If the bearing of A to B is 138°,then what is the bearing of B to A?
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Question 590944: If the bearing of A to B is 138°,then what is the bearing of B to A?
Click here to see answer by Edwin McCravy(8909) About Me 

Question 590939: cosx=3/5 o
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Question 590941: cscx=-5/3 pi
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Question 591041: Name an angle on the interval [0,2pi] that is coterminal with an angle whose measure is -19pi/5
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Question 591060: Evaluate limit as x approaches 0 of (cos3x-cos4x)/x^2
I have tried using L'Hopital's but differentiating the function using the quotient rule keeps squaring the denominator.

Click here to see answer by jim_thompson5910(28595) About Me 

Question 591078: How can I prove this identity? (1-cos^2theta)(1+cos^2theta)=2sin^2theta-sin^4theta?
I tried to do it, and this is what I've come up with so far, and am not sure if I am doing it correctly.
Working with the left side, I have the following:
sin^2theta(1+cos^2theta) =
sin^2theta+(sin^2theta*cos^2theta)
And then it stops.

Click here to see answer by Alan3354(30993) About Me 
Question 591078: How can I prove this identity? (1-cos^2theta)(1+cos^2theta)=2sin^2theta-sin^4theta?
I tried to do it, and this is what I've come up with so far, and am not sure if I am doing it correctly.
Working with the left side, I have the following:
sin^2theta(1+cos^2theta) =
sin^2theta+(sin^2theta*cos^2theta)
And then it stops.

Click here to see answer by scott8148(6628) About Me 

Question 591178: find the graph of the equation, and the period and phase shift. y=sin(1/4x+pi/3)
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Question 591293: Please help me solve this equation, I need to find all solutions
sin^2x=3cos^2x

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Question 591304: Help with verifying a trigonometric identity please?
secx-cosx+cscx-sinx-(sinxtanx)=(cosxcotx)

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Question 591900: a straight trail with a uniform inclination of 14 degrees leads from a lodge at an elevation of 1000 feet to a mountain lake at an elevation of 8400 feet. What is the length of the trail (to the nearest foot)?
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Question 592372: Write the trigonometric expression as an algebraic expression in u.
15) cos (sin-1 u)

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Question 592417: How do you find the exact value of sin 23pi/4?
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Question 592883: verifyin trigonometric identities.
(1/1-sinx)+(1/1+sinx)=2sec^2x

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Question 592883: verifyin trigonometric identities.
(1/1-sinx)+(1/1+sinx)=2sec^2x

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Question 592892: Find the first TWO non-negative asymptotes and the first negative asymptote of the graph of y in radians
y=2sec(x−π/2)+1 .
smallest non-negative asymptote: x=
second non-negative asymptote: x=
first negative asymptote: x=

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Question 592929: What Angle has the sin of 0.200?
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Question 592923: verifying trigonometric identities.
secx(tanx+cotx)=(cscx/cos^2x)

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Question 592923: verifying trigonometric identities.
secx(tanx+cotx)=(cscx/cos^2x)

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Question 592920: verifying trigonometric identities.
(cscx-tanx/secx+cotx)=(cosx-sin^2x/sinx+cos^2x)

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Question 592917: verifying trigonometric identities.
(2-sin^2x/cosx)=secx+cosx

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Question 593060: What is tan theta when sin theta equals 1/4 and theta is in quadrant one
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Question 592809: A 12 ft guy wire is attatched to a telephone pole 10.5 ft from the top of the pole. If the wire forms a 52 degree angle with the ground, how high is the telephone pole?
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Question 593152: csc^2x + sec^2x
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Question 593219: How do I solve this system?
-7x+3y+3z=8
x=y-5z+14
y=8z-22
Substitution is the method

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Question 593395: evaluate the following trigonometric functions:
(a) sin(-.9)
(b) sec 1.8

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