Which of the following have a frequency factor of b=1? A sine function whose period is 2pi radians. A sine function whose x-coefficient is 2pi. A cosine function with no phase shift whose x-coefficient is 1. A sine function whose graph shows 2 cycles from -4pi radians to 0. A sine function whose graph shows 2 cycles from 0 to 2pi radians. A cosine function whose graph shows 4 cycles from 0 to 4pi radians. A cosine function whose graph shows 1 cycle from 3pi radians to 5pi radians.

2pi/3 has the same Sin, Cos, & Tan as pi/3 in QI except for the SIGNS.

2pi/3 is in QII so Cos is negative and Tangent is negative, Sine is still positive.

Sin 2pi/3 = √(3) / 2

Cos 2pi/3 = -1/2

Tan 2pi/3 = -√3

Step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places