trig

1. 3cot^2 (x) - 1 = 0
My answer: pi/3, 2pi/3, 4pi/3, 5pi/3

2. 4cos^2 (x) - 1 = 0
My answer: pi/3, 2pi/3, 5pi/3, 4pi/3

3. 2sin (x) + csc (x) = 0
My answer: unknown lol
i got to the part: sin^2 (x) = -1/2

4. 4sin^3 (x) + 2sin^2 (x) - 2sin^2 (x) = 1

  1. 👍 0
  2. 👎 0
  3. 👁 521
  1. 3. 2sin (x) + csc (x) = 0
    My answer: unknown lol
    i got to the part: sin^2 (x) = -1/2
    =============================
    I do not know what to do either. There is no real solution.

    4 looks like a typo. The second two terms are identical and cancel each other.
    Are you sure it is not:
    4 sin^3 x + 2 sin^2 x - 2 sin x = 1 ???
    if so
    let y = sin x
    then
    4 y^3 + 2 y^2 -2 y - 1 = 0
    factor that
    (2y+1) works
    (2y+1)(2 y^2-1) = 0
    y = sin x = -1/2
    y = sin x = + ( sqrt 2) /2
    y = sin x = - (sqrt 2) / 2
    You can do it from there

    1. 👍 0
    2. 👎 0
  2. Thank you!

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Find the coterminal angles for 8pi/3. I found one: 8pi/3 - 2pi= 2pi/3 My textbook says that I should add subtract 4pi to find the other one and I'm very confused as to how you know what to add/ subtract.

  2. Math

    Find a negative and a positive coterminal angle for Ө = 2pi/3. -4pi/3 and 8pi/3

  3. Calculus

    A piece of wire 40cm long is cut into two pieces. One piece is bent into the shape of a square and the other is bent into the shape of a circle. How should the wire be cut so that the total area enclosed is a) a maximum? /b) a

  4. Pre-Calculus

    If sinA=3/5 when pi/2 < A < pi and cosB=5/13 when 3pi/2 < B < 2pi, find the exact value of the function cos(5pi/6+B).

  1. Math

    1. On the interval [0, 2pi] what are the solutions to the equation sin3xcos2x = -cos3xsin2x + 1? pi/10 and pi/2? 2. What is the value of tan75degrees? √(3) + 1)/(1 - √(3))? 3. Value of cos(130degrees)cos(130degrees) +

  2. Algebra 2

    Find the values of the inverse function in radians. sin^-1(0.65) a. 0.71+2pi n and -0.71+2pi n b. 0.71+2pi n and -3.85+2pi n c. 0.86+2pi n and -0.86 +2pi n d. -0.61+2pi n and 2.54+2pi n 2. tan^-1(0.09) a.-0.09+2pi n b. no such

  3. Calculus

    The region enclosed by the graph of y = x^2 , the line x = 2, and the x-axis is revolved abut the y-axis. The volume of the solid generated is: A. 8pi B. 32pi/5 C. 16pi/3 D. 4pi 5. 8pi/3 I solved for x as √y and set up this

  4. Math (Calculus II) (Volume Revolution Setup)

    Consider the graph of y^2 = x(4-x)^2 (see link). Find the volumes of the solids that are generated when the loop of this graph is revolved about (a) the x-axis, (b) the y-axis, and (c) the line x = 4.

  1. Math

    Justin wants to evaluate 3cot(-5pi/4). Which of the following identities can he use to help him? Select two answers. cot(-theta) = cot(theta) cot(-theta) = -cot(theta) cot(-theta) = cot(-theta) cot(theta + pi) = cot(theta)

  2. Calculus

    Breathing is cyclic and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 5 seconds. The maximum rate of air flow into the lungs is about 0.5 L/s. This explains, in part, why the

  3. calc

    i did this problem and it isn't working out, so i think i'm either making a dumb mistake or misunderstanding what it's asking. A particle moves along the x axis so that its velocity at any time t greater than or equal to 0 is

  4. Trigonometry

    Graph the function y=2sin(x-2pi/3). To draw the graph, plot all x-intercepts, minima and maxima within on period. I need to graph at least 5 points. I have -pi, 0, pi, 2pi, 3pi, and 4pi along the x-axis

You can view more similar questions or ask a new question.