Use the given information to find the exact value of the expression.
sin α = , α lies in quadrant II, and cos β = , β lies in quadrant I Find sin (α – β). Don't use plagiarized sources. Get Your Custom Essay on
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Solve the equation on the interval [0, 2π).
tan^{2}x sin x = tan^{2}x


The sound produced by touching each button on a touchtone phone is described by y = sin 2πlt + sin 2πht where l and h are the low and high frequencies (cycles per seconD. in the figure shown.
Use a calculator to find the graph of the sound emitted by touching the 4 key in a [0, 0.01, 0.001] by [2, 2, 1] viewing rectangle.


Solve the equation on the interval [0, 2π).
cos x + 2 cos x sin x = 0


Rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.
cos^{3}x


Rewrite the expression in terms of the given function or functions. (sec x + csc x) (sin x + cos x) – 2 – cot x; tan x


Complete the identity. = ?


Solve the equation on the interval [0, 2π).
sec_{} = cos_{}


The weekly sales in thousands of items of a product has a seasonal sales record approximated by (t is time in weeks with t = 1 referring to the first week in the year). During which week(s) will the sales equal 96,990 items?


Find the exact value of the expression.
sin 265° cos 25° – cos 265° sin 25°


Find all solutions of the equation.
5 sin x – 8_{} = 3 sin x 7_{}


Write the expression as the sine, cosine, or tangent of a double angle. Then find the exact value of the expression.
2 sin 120° cos 120°


Complete the identity. sin^{4}x – cos^{4}x = ?


Complete the identity. = ?


Use the given information to find the exact value of the expression.
sin θ = _{}, θ lies in quadrant II Find tan 2θ.


Use a calculator to solve the equation on the interval [0, 2π). Round to the nearest hundredth of a radian. sin 2x – sin x = 0


Express the sum or difference as a product. sin 4x – sin 6x


Solve the equation on the interval [0, 2π).
sin^{2} x – cos^{2}x = 0


Show that the equation is not an identity by finding a value of x for which both sides are defined but not equal. cos x – cos x sinx = cos^{3}x


Complete the identity. = ?

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