question archive 8)Write the expression as the sine, cosine, or tangent of an angle
8)Write the expression as the sine, cosine, or tangent of an angle
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8)Write the expression as the sine, cosine, or tangent of an angle.
sin(23°)cos(4°) + cos(23°)sin(4°)
9)Find the exact value of the expression.
sin????/6 cos????/3+ cos????/6 sin????/3
10)Find the exact value of the expression.
cos????/16 cos 3????/16 − sin????/16 sin3????/16
11)Find the exact value of the expression.
tan 25° + tan 110°/1 − tan 25° tan 110°
12)Find the exact value of the trigonometric expression given that
sin(u) = − 3/5, where 3????/2 < u < 2????, and cos(v) = 15/17, where 0 < v < ????/2.
sin(u + v)
13)Find the exact value of the trigonometric expression given that
sin(u) = − 3/5, where 3????/2 < u < 2????, and cos(v) = 15/17, where 0 < v < ????/2.
cos(u + v)
14)Find the exact value of the trigonometric expression given that
sin(u) = − 3/5, where 3????/2 < u < 2????, and cos(v) = 15/17, where 0 < v < ????/2.
tan(u + v)
15)Find the exact value of the trigonometric expression when
sin(u) = − 12/13 and cos(v) = − 3/5. (Both u and v are in Quadrant III.)
cos(u + v)
16)Write the trigonometric expression as an algebraic expression.
cos(arccos(8x) − arcsin(8x))
17)Write the trigonometric expression as an algebraic expression.
cos(arcsin(2x) − arctan(6x))
18)Find the solution(s) of the equation in the interval [0, 2????). Use a graphing utility to verify your results. (Enter your answers as a comma-separated list.)
9 cos(x + 7????/6) − 9 cos(x − 7????/6) = −9
x=_____________
19)Find the solution(s) of the equation in the interval [0, 2????). Use a graphing utility to verify your results. (Enter your answers as a comma-separated list.)
8 sin(x + ????/2) + 12 tan(????-6) = 0
x=_____________
