Using the Value of a Function In Exercises 37–42, use the given value to evaluate each function.
cos
t
=
4
5
(
a
)
cos
(
π
−
t
)
(
b
)
cos
(
t
+
π
)
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
Trigonometric Substitution In Exercises 59–62,use the trigonometric substitution to write the algebraicequation as a trigonometric equation of θ, where−π2 < θ < π2. Then find sin θ and cos θ.59. √2 = √4 − x2, x = 2 sin θ60. 2√2 = √16 − 4x2, x = 2 cos θ61. 3 = √36 − x2, x = 6 sin θ62. 5√3 = √100 − x2, x = 10 cos θ
Mathematical analysis of a vibrating violin string of length l involves functions such that (FUNCTION BELOW) where n is an integer, k is a constant, an t is time, Express f as a sum of two sine functions.
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