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    Trigonometry questions of identity

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    1. Express in equivalent form: log x + log 1 - 6 log (y + 4)

    2. Points (4, -7) and (6, 3) are endpoints of the diameter of a circle./
    (a) What is the exact length of the diameter?
    (b) What is the center of the circle?
    (c) What is the equation of the circle?

    3. Given y = 9 sin(8x - p), state the
    (a) period
    (b) phase shift

    4. Solve the trigonometric equation (sin x)(2cos x − 1) = 0 in the interval [0, 360°).
    (a) Find the exact value of arccos sin( 3π/ 2 )
    (b) Find the exact value of arcsin sin( 2π/3 )

    5. Solve. ( x+13/x+6 ) + ( 84/ x^2-36) = 0

    6. Suppose that sin q = 5/13 and that q is a Quadrant II angle.
    (a) Find the exact value of cos ϴ
    (b) Find the exact value of sin 2ϴ.

    7. Prove the identity 1 - (sin x - cos x)2 = sin 2x

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    https://brainmass.com/math/functional-analysis/trigonometry-questions-identity-612173

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    Solution Preview

    1. Express in equivalent form: log x + log 1 - 6 log (y + 4)
    Solution:

    Answer:

    2. Points (4, -7) and (6, 3) are endpoints of the diameter of a circle.
    (a) What is the exact length of the diameter?
    Solution:
    Diameter

    Answer:
    (b) What is the center of the circle?
    Solution:
    Center =
    Answer: (5,-2)
    (c) What is the equation of the circle?
    Solution:
    Radius = /2 = ...

    Solution Summary

    This posting includes detailed solutions some questions on solving algebraic equation, solving trigonometric equation and finding equation of circle.

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