# Questions on Algebra: Trigonometry answered by real tutors!

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 511104: I hope you can help me :) problem is.. Find (a) tan(x+y) (b) tan(x-y) through tan x = 7/3,0 Thanks! Click here to see answer by stanbon(57307)

 Question 511183: I need help with this equations: 2sin2x-1=0 solutions? cos^2(x)+sin(x)* cos(x)=1 equal which angles? 2sin(2x-1)=0 equal what angle? Thank you very much for your time and for sharing your abilities Click here to see answer by lwsshak3(6491)

 Question 511058: verify the indentity sin^2x + cos2x = cos^2x Click here to see answer by lwsshak3(6491)

 Question 511567: Find the amplitude, period, and phase of the function. Y=cos(pi/2 - x) Click here to see answer by stanbon(57307)

 Question 511618: Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.) 6 sin2(x) = 3 Find all values of x in the interval [0, 2π] that satisfy the inequality. (Enter your answer using interval notation.) 3 sin(x) > 3 cos(x) Click here to see answer by lwsshak3(6491)

 Question 511681: where x represents the theta prove that sec x(1-sin x)(sec x+tan x) = 1 Click here to see answer by bucky(2189)

 Question 511712: Consider the trigonometric function f(t)= 6 + 4cos(4πt). (i) What is the amplitude of f(t)? (ii) What is the period of f(t)? (iii) What are the maximum and minimum values attained by f(t)? (iv) Sketch the graph of f(t) for t ∈ [0,1]. Click here to see answer by stanbon(57307)

 Question 511878: what is the domain of the relation y=3/2 arcsin(2x + .5) Click here to see answer by stanbon(57307)

 Question 512064: Find the inverse of f(x)= 2tan(x - 1) + 3. Then state the domain and range of both f(x) and f-1 Click here to see answer by stanbon(57307)

 Question 512065: Find the exact solution of the equation 2pi = 6cos^-1(3x). (The "6cos^-1" is cos inverse) Click here to see answer by stanbon(57307)

 Question 512069: Find the exact value of this expression: cos ( tan^1 ( 1/4 ) ) Click here to see answer by stanbon(57307)

 Question 512067: Find the exact value of these expressions: (^-1 means inverse.) tan^-1(tan 3pi/4 ) and csc^-1 (2) Click here to see answer by stanbon(57307)

 Question 511877: what is the domain of the relation y=arctan3θ Click here to see answer by stanbon(57307)

 Question 511876: what is the range of the function y=3(cosx)-1 Click here to see answer by lwsshak3(6491)

 Question 511863: write an equation for a cosine function of amplitude=5, period= 45 degrees, and phase shift= -180 degrees Click here to see answer by lwsshak3(6491)

 Question 511856: evaluate: sin(arctan square root 3) + cos(arccot square root 3) Click here to see answer by lwsshak3(6491)

 Question 512421: write the standard form of the equation of a circle with center (-3,5), given r=3 Click here to see answer by Sarah900(12)

 Question 512365: why the range of tan x is from -infinity to + infinity? thanks Click here to see answer by richard1234(5390)

 Question 512876: Two buildings A and B adjacent to each other are separated by a narrow alley. Building A has a window at a heights of 12 meters and building B has a winder at a height of 8 meters, both windows facing the alley. A 13meter ladder placed in the alley leaning on the wall of building A reaches the winder at a height of 12meters from the ground. Without changing the position of the base of the ladder, the ladder is tilted towards building B and is able to just reach the winder at 8meters. What is the width of the alley? Click here to see answer by mananth(12270)

 Question 513278: I am in Trigonometry and have just started my school year. We were given a packet for bonus and I am blank minded on how to go about solving these problems. If somebody would be so very helpful as to solve one of each of the different problems and explain how to do them it would be more than greatly appreciated. Here are the links to the worksheets. http://i526.photobucket.com/albums/cc344/AddversitY/TrigBonuspg3.jpg http://i526.photobucket.com/albums/cc344/AddversitY/TrigBonuspg2.jpg http://i526.photobucket.com/albums/cc344/AddversitY/TrigBonuspg1.jpg Click here to see answer by solver91311(16877)

 Question 513390: This one is too hard and I can't get it. . . Find the exact value of: ' cos ( tan^-1 (4/3) + cos^-1 (12/13 ) ) ' Thank You Click here to see answer by scott8148(6628)

 Question 513947: Replace X with 30degrees and then simplify -3sin 2x as much as possible. Click here to see answer by solver91311(16877)

 Question 513993: Solving an equationon the interval 0 less than or equal to pheta and pheta is less than 2 pi. 2 sin pheta + 3 = 2. Click here to see answer by drcole(72)

 Question 514459: Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x-y=1 3x+y=−3 Click here to see answer by stanbon(57307)

 Question 514480: A theater has a seating capacity of 600 and charges \$3 for children, \$5 for students, and \$7 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled \$3200. How many children attended the show? (Let x, y, and z denote the number of children, students, and adults, respectively.) Click here to see answer by solver91311(16877)

 Question 514603: find the foci in this hyperbola equation (x+1)^2/(1)-(y-6)^2/(4)=1 Click here to see answer by lwsshak3(6491)

 Question 514699: I need help on what to do with this problem: if sinx=1/2 and cosx=sqrt 3 over 2, evaluate the folling function, cosx Click here to see answer by stanbon(57307)

 Question 514509: Formulate but do not solve the problem. Cantwell Associates, a real estate developer, is planning to build a new apartment complex consisting of x one-bedroom units, y two-bedroom townhouses, and z three-bedroom townhouses. A total of 192 units are planned, and the number of family units (two- and three-bedroom townhouses) will equal the number of one-bedroom units. If the number of one-bedroom units will be 3 times the number of three-bedroom units, find how many units of each type will be in the complex. ?= 192 ?= y + z ?= 3z Click here to see answer by stanbon(57307)

 Question 514169: A tree on a hillside casts a shadow c ft down the hill. If the angle of inclination of the hillside is b to the horizontal and the angle of elevation of the sun is a, find the height of the tree. Assume a = 57°, b = 27° c = 220 ft Click here to see answer by lwsshak3(6491)

 Question 513525: Please Verify, ( (sinx) /(1+cosx) ) = ( (1-cosx) / (sinx) )). Thank You, I have no clue what the answer is. Click here to see answer by lwsshak3(6491)

 Question 513523: This one is too hard and I can't get it. . . Find the exact value of: ' cos ( tan^-1 (4/3) + cos^-1 (12/13 ) ) ' Thank You Click here to see answer by lwsshak3(6491)

 Question 513387: Verify, ' cosxcosy = 1/2 [cos(x+y) + cos(x-y)] ' My professor did not properly explain this. I don't understand how to solve the equation. ' Thank You Click here to see answer by lwsshak3(6491)

 Question 513377: Please Verify, ' (1 + sinx - sin^2 x) -------------------- = (cosx + tanx) (cosx) ' Thank You Click here to see answer by lwsshak3(6491)

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