Question


    Tutorial

    Category :Math/Stat Homework

    Posted By:AccountingExpert

    Price Offered : $20

    Posting Date : 2014/06/12 15:56

    Due Date : 2014/06/24 12:00

    Answered (1 time)



    Class Section

    Homework Assignment 7.3
    18 points
    Print out this assignment and write your name on it and turn it in instead of answering the
    questions on notebook paper. You may print front and back if you wish. Be sure to include your
    first name and last name. Put your class section number on the area of the line above “Class
    Section”.
    Problems 1 – 6: Find the function f (x) that will make the given equation an identity. The
    function f (x) may be a trig function, algebraic function, or constant function.
    Each problem has a solution. Simplify all answers.
    1.

    cos(2x)
    = f 2(x)
    1 – tan2(x)

    2.

    f (x) = _______________________

    3.

    cos2(x)
    1 – 1 + sin(x) = f (x)

    1 + cos(2x)
    = f (x)
    sin(2x)

    f (x) = _______________________

    cos(x)
    = f (x)
    1 + sin(x)

    f (x) = __________________________

    4.

    f (x) = _______________________

    5.

    tan(x) +

    x
    x
    tan + cot = 2 f ( x)
    2
    2

    f (x) = ___________________________

    6.

    cos(x)
    1 + sin(x)
    +
    = 2f (x)
    1 + sin(x)
    cos(x)

    f (x) = ___________________________

    Problems 7 – 11: Verify each identity. Provide all necessary details.
    7.

    sec2(θ) csc2(θ) = sec2(θ) + csc2(θ)

    8.

    cos(2θ)
    = cos(θ) – sin(θ)
    cos(θ) + sin(θ)

    9.

    tan(θ )
    θ
    tan =
    2 sec(θ ) + 1

    10. sin(2θ) =

    2 tan(θ)
    1 + tan2(θ)

    11. sin(2x) – tan(x) = tan(x) cos(2x)

    Problems 12 – 14:

    Show that each of the following is not an identity.

    12. cos(2θ) = 2cos(θ) sin(θ)

    t sin(t )
    13. sin =
    2
    2

    14. cos(2t) = 2cos(t)

    Problems 15 and 16: Write each of the following as a product of trig functions. Simplify your
    answers.
    15. sin(6θ) + sin(3θ)

    Answer: _________________________________________________________________

    16. cos(5θ) – cos(θ)

    Answer: __________________________________________________________________

    Problems 17 and 18: Write each of the following as a sum or difference of trig functions.
    Simplify your answers.

    17. sin(6θ) sin(3θ)

    Answer: _________________________________________________________________

    18. cos(5θ) cos(θ)

    Answer: _________________________________________________________________

    Answer
    Submitted by AccountingExpert on 2014/06/12 15:58
    teacher rated 211 times

    Price: $20.00

     

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