# Questions on Algebra: Trigonometry answered by real tutors!

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 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)

 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! Click here to see answer by lwsshak3(6513)

 Question 589832: Prove that Sin squared theta divided by 1 minus cos theta is equal to 1 plus cos theta Click here to see answer by richard1234(5390)

 Question 590098: Solve the equation on the interval [0,2pi). sin(x)sec(x)=2 sin(x) Click here to see answer by Edwin McCravy(8909)

 Question 590111: How do I solve the equation: 3 tan 2t = √3 in the interval from 0 to 2π Click here to see answer by Alan3354(30993)

 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? Click here to see answer by stanbon(57377)

 Question 590318: an arc of a circle, with a 250 in. radius, is of length 75 in.what is the corresponding central angle? Click here to see answer by Alan3354(30993)

 Question 590336: whats the value of cos 32 degrees 32' to the fourth decimal place Click here to see answer by Alan3354(30993)

 Question 590664: how do i shift f(x) = 4cos(3x)+1 to the right by pi/12? Click here to see answer by Theo(3464)

 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! :) Click here to see answer by mukhi1(5)

 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. Click here to see answer by solver91311(16897)

 Question 590934: If cos x = -(2/3) and pi/2 < x < pi, what is the exact value of sin2x, cos2x, and tan2x Click here to see answer by lwsshak3(6513)

 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 Click here to see answer by Alan3354(30993)

 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 Alan3354(30993)
 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)

 Question 591041: Name an angle on the interval [0,2pi] that is coterminal with an angle whose measure is -19pi/5 Click here to see answer by Alan3354(30993)

 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)

 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)
 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)

 Question 591178: find the graph of the equation, and the period and phase shift. y=sin(1/4x+pi/3) Click here to see answer by lwsshak3(6513)

 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)? Click here to see answer by Alan3354(30993)

 Question 592372: Write the trigonometric expression as an algebraic expression in u. 15) cos (sin-1 u) Click here to see answer by lwsshak3(6513)

 Question 592417: How do you find the exact value of sin 23pi/4? Click here to see answer by solver91311(16897)

 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= Click here to see answer by jsmallt9(3296)