What is the general equation of a sine function with an amplitude of 6, a period of π/4 and a horizontal shift of π/2?

The general equation of a sine function with an amplitude of 6, a period of π/4, and a horizontal shift of π/2 is .

Given :

Sine function with an amplitude of 6, a period of π/4, and a horizontal shift of π/2.

The following steps can be used in order to determine the general equation of a sine function:

Step 1 - The generalized equation of sine function is given below:

where A is the amplitude, c is the time period and d is the horizontal shift.

Step 2 - According to the given data, the amplitude of 6, a period of π/4, and a horizontal shift of π/2.

Step 3 - The value of b is calculated as:

b = 8

Step 4 - The value of 'c' is calculated as:

Step 5 - Substitute the value of the known terms in the above expression.

Therefore, the correct option is C).

For more information, refer to the link given below:

link

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2