# Questions on Algebra: Trigonometry answered by real tutors!

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 Question 783222: Find the exact values of cosθ, and tanθ given sinθ=-(sqrt3)/2 and cosθ<0 Click here to see answer by stanbon(60771)

 Question 783304: Find the smallest angle, to the nearest degree in the triangle whose sides are, 5, 6 and 7. Click here to see answer by Edwin McCravy(9717)

 Question 783428: Given that tanθ=1/√5 find the value of (csc^2θ-sec^2θ)/(csc^2θ-sec^2θ) Need all the steps Click here to see answer by solver91311(18785)

 Question 784233: Given point p at (-(sqrt11)/6, 5/6), find sin, cos, and tan. Is this on the unit circle? Click here to see answer by lwsshak3(7679)

 Question 784054: given tan theta 4/3 and sin (-4/5), find cos theta Click here to see answer by lwsshak3(7679)

 Question 784004: is cos(x)= -1/5 , Pi < x < 3pi/2 what are the remaining trig ratios? Click here to see answer by lwsshak3(7679)

 Question 782966: I have to find the reference angle of 33Pi/4 Click here to see answer by lwsshak3(7679)

 Question 783973: 2sec^2x=3tanx+1 solve for interval of 0< x <360 Click here to see answer by lwsshak3(7679)

 Question 782754: Dear Math Tutor, Find two values of x between 0 and 360 such that sin x degrees = - 0.5 I think the first value is -30 degrees, I got this answer by plugging in sin inverse -0.5. How do I work out the second value? Best wishes, Nats Click here to see answer by lwsshak3(7679)

 Question 784452: Cot 90 + 3 cos 180 + 5 sec^2 0 Click here to see answer by lwsshak3(7679)

 Question 783079: A building that is 115 feet tall casts a shadow that is 190 feet long. Determine the angle at which the rays of the sun hit the ground to the nearest degree. Click here to see answer by lwsshak3(7679)

 Question 784582: f(x) = |x| g(θ) = sin θ f(g(x)) = f(sin θ) f(g(x)) = |sin θ| How do I find the domain? g(f(x)) = g(|x|) g(f(x)) = sin θ (|x|) How do I find the domain? Click here to see answer by solver91311(18785)

 Question 784629: find all solutions to the equation in the interval [0, 2pi) (2 sin theta - sqrt 3) (cot theta + sqrt 3) = 0 Click here to see answer by lwsshak3(7679)

 Question 784704: solve the equation for 0◦≤ x ≤ 360◦ 4-sin theta= 4 cos ^2 theta. sorry kind of confused but think it has something to do with sin^2 theta + cos^2 theta=1 and therefore cos^2 theta=1-sin^2 theta. does this mena that 1-sine theta= 4(1-sin^2theta)? thank you :) Click here to see answer by stanbon(60771)

 Question 784570: how do you solve for x algebraically for : 2sin^2x+5sinx=3 Click here to see answer by KMST(2478)

 Question 785057: a lighthouse keeper is in the top of a lighthouse 95 feet above sea level. she notes that the angle of depression to a rock jutting above the water is 6 degrees. how far is the rock from the lighthouse Click here to see answer by mananth(13127)

 Question 785096: Graph the function y=cos(theta-pi) and state the phase shift,amplitude, and period Click here to see answer by lwsshak3(7679)

 Question 785104: From a cliff 150 feet above a lake, Julio saw a boat sailing directly toward him. The angle of depression was 5 degrees. a few minutes later, he measured it to be 11 degrees. find the distance the boat sailed between the two observations. Click here to see answer by lwsshak3(7679)

 Question 785102: A disabled jet can glide at an angle of 11 degrees with the horizontal. If it starts to glide at an altitude of 12,000 feet, can it reach a landing strip 10 miles away? Click here to see answer by josgarithmetic(3315)

 Question 785176: prove sinA tanA = (cotA cscA)/(cotA cscA) Click here to see answer by Edwin McCravy(9717)

 Question 784945: Given the quadratic functions, determine the value of a, direction of opening of the graph, vertex and the axis of symmetry. 7. y=-x^2-2 8. y=-(x+2)^2-2 Click here to see answer by lwsshak3(7679)

 Question 784948: find the exact values of all trig functions if tan theta= -4/3 and pi/2 Click here to see answer by lwsshak3(7679)

 Question 784931: Describe the values of a,h,k and movement of each graph of the ff. given quadratic functions: 1. y=(x-3)^2 2. y=)(x-1)^2+4 3. y=(x+3)^2-2 4. y=2(x-3)^2+2 5. y=-3x^2+5 I don't really understand this topic, please help me with this. Thank you very much :) Click here to see answer by lwsshak3(7679)

 Question 784542: if tan^2 theta + cot^2 theta = 2 theta is an acute angle then tan^3 theta + cost^3 theta is equal to a)2 b)3 c)4 d)8 Click here to see answer by lwsshak3(7679)

 Question 785610: Can you solve 2 cot y=3 sin y ? Click here to see answer by Alan3354(34677)

 Question 785650: Hello, Could you please tell me what cosine(1) equals in terms of pi, like pi/6 or something? Thanks so much, Kevin Click here to see answer by MathLover1(7480)

 Question 785685: Find all real numbers whose distance from a is given by d. (Enter your answers as a comma-separated list.) a=4,d=17 Click here to see answer by fcabanski(1133)

 Question 786117: Given y=6sinx+2, find: Amplitude Period Phase Shift Vertical Shift Scale *The x+2 is not enclosed in parenthesis according to the formula. Click here to see answer by Alan3354(34677)

 Question 786240: How do I prove cos(pi/6)=sqrt(3)/2 knowing that sin(pi/6)=1/2? Click here to see answer by xinxin(76)

 Question 786238: How do I prove cos(pi/6)=sqrt(3)/2 knowing that sin(pi/6)=1/2? Click here to see answer by KMST(2478)

 Question 786384: 20 sin2 x + 21 sin x + 4 = 0 solving trigonometric equations (0,2pi) Click here to see answer by mananth(13127)

 Question 786565: tan x + √3= 0 → tan x =−√3 The term tan x is now isolated in the equation. Find a particular solution on the interval (0, π). x =2π/3 , 0 < x < π On (-Infiniti, infiniti ), there are an infinite number of solutions. Write the general form of the solution. Your answer should be exact. (Use n as an integer constant. Enter your response in radians.) x=??????????? Click here to see answer by josmiceli(10616)
 Question 786565: tan x + √3= 0 → tan x =−√3 The term tan x is now isolated in the equation. Find a particular solution on the interval (0, π). x =2π/3 , 0 < x < π On (-Infiniti, infiniti ), there are an infinite number of solutions. Write the general form of the solution. Your answer should be exact. (Use n as an integer constant. Enter your response in radians.) x=??????????? Click here to see answer by Edwin McCravy(9717)

 Question 786463: Given y=sin5(x-pi/2) find: Period Phase Shift Scale ******NOTE: This is exactly how the problem is written in my homework assignment. I'm having trouble with this problem, as it does not seem to fit the formula y=Asin(Bx+C)+D******* Click here to see answer by lwsshak3(7679)