precalculus

Evaluate the following expressions. Your answer must be an angle in radians and in the interval [(-pi/2),(pi/2)] .

(a) sin^(-1)(0) =

(b) sin^(-1)((-sqrt3)/2) =

(c) sin^(-1)(-1/2) =

  1. 👍 0
  2. 👎 0
  3. 👁 369
  1. arcsin(0) = 0
    sin < 0 in QIV, so -pi/3
    ditto, so -pi/6

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    A right triangle has base x meters and height h meters, where h is constant and x changes with respect to time t, measured in seconds. The angle θ, measured in radians, is defined by tanθ=hx. Which of the following best

  2. Trigonometry

    Find all solutions of the equation in the interval [0,2pi). sec(theta)+2=0 Write your answer in radians in terms of pi

  3. math

    The London Eye is a large ferris wheel. Each sealed and air-conditioned passenger capsule holds about 25 passengers. The diameter of the wheel is 135 m, and the wheel takes about half an hour to complete one revolution. a)

  4. Trigonometry

    If a point on the Cartesian plane lies at (4, 2), what is the angle made between the line containing the point and the origin, and the negative y-axis? a) 1.249 radians b) 0.463 radians c) 0.523 radians d) 1.047 radians

  1. trig

    Find the angle between 0 and 2pi that is coterminal with negative one half pi; expressing the answer in radians in terms of pi.

  2. Math. Need help

    1.if g=5 and k=1, evaluate 9+gk a. 13 b. 14 c. 15 d. 16 2.Evaluate a-b^2/b if a = 10 and b = 2. a. 1 b. 3 c. 8 d. 32 3.Evaluate 3xy^2 - y if x = 2 and y = 5. a. 26 b. 30 c. 120 d. 145 4.Evaluate 2d + d^2/3 if d = 6. a. 4 b. 12 c.

  3. Trig

    Find all solutions of the equation in the interval [0,2pi). 2sin theta+1=0. Write answer in radians in terms of pi.

  4. trig

    in a circle of radius 26, find the length of the arc spanned by a central angle of pi/4 radians. round your answer to 2 decimal places. use 3.1416 as an approx for pi.

  1. Trig

    Find all solutions of the equation in the interval [0,2pi). sqrt(3)cottheta-1= 0 Write your answer in radians in terms of pi. If there is more than one solution, separate them with commas.

  2. math

    In standard position, an angle of 7pi/3 radians has the same terminal side as an angle of? A)-420 B)120 C)60 D)625

  3. Calculus

    Solve the equations below exactly. Give your answers in radians, and find all possible values for t in the interval 0≤t≤2π. If there is more than one answer, enter your solutions in a comma separated list. (a) sin(t)=2/√2

  4. Math

    Define the inverse cotangent function by restricting the domain of the cotangent function to the interval (0, π). Evaluate the expression without using a calculator. (Enter your answer in radians.) arccot(− √3)

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