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).
|
||||||||||||||||||
Solve the equation on the interval [0, 2π).
tan2x sin x = tan2x
|
||||||||||||||||||
The sound produced by touching each button on a touch-tone 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.
cos3x
|
||||||||||||||||||
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. sin4x – cos4x = ?
|
||||||||||||||||||
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).
sin2 x – cos2x = 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 = cos3x
|
||||||||||||||||||
Complete the identity. = ?
|