Question

equation.
6^x = 8
a) x = 0.9851
b) x = 1.8617
c) x = 6.2938
d) x = 2.0962
e) x = 0.8617

1. find the amplitude and period for the following function. f(x) = -3 cos 3(x - π/4)

a. amp: -3 p: 2π/3
b. amp: 3 p: 4π.
c) amp: 3 p: 2π/3
d) amp: -3 p: π

1. find the period for the following function.

y = tan (1/4)x
a. 8π
b. 4π
c) π/4
d) π/2

1. the domain of sin x is -1,1.

a. true
b. false

1. in triangle abc, a = 74, b = 41, and side a = 58 inches. solve for side b.

a. 9.34 inches
b. 84.98 inches
c) 39.59 inches
d) 51 inches

1. in a triangle, suppose we know that b = 3 feet, c = 2 feet, and angle a = 140. find the length of side a.

a. 3.9 feet
b. 4.2 feet
c) 3.6 feet
d) 4.7 feet

1. given a = 5, b = 10, and c = 8, use the law of cosines to solve the triangle for the value of b. round answer to two decimal places.

a. 60.33°
b. 52.41°
c. 80.44°
d. 97.90°
e. 29.69°

1. simplify the trigonometric identity.

tanx (cosx) cscx
a. 0
b. 1
c) sin x
d) cot x

1. which of the following is a solution to the given equation? √2 sin x + 1 = 0

a. x = 2π/3
b. x = π/4
c. x = π/6
d. x = 7π/6
e. x = 7π/4

1. determine which ordered pair is a solution to the system:

{ -x + 8y = 10
{ 2x - y = -5
a. (1, -2)
b. (2, 1)
c. (-5, 4)
d. (-2, 1)
e. (-4, -5)

Explanation:

Answer:

A) \( x = 0.9851 \)
C) Amp: \( 3 \) \( P: \frac{2\pi}{3} \)
b. \( 4\pi \)
b. False
C) \( 39.59 \) inches
A) \( 3.9 \) feet
d. \( 97.90^{\circ} \)
b. \( 1 \)
e. \( x = \frac{7\pi}{4} \)
d. \( (-2,1) \)