Which table represents a direct variation function?

9514 1404 393

  (b)  the correct table is marked

Step-by-step explanation:

Direct variation is characterized by the ratio of y to x being a constant for all values in the table. That constant is the constant of proportionality. For the values in the second table (marked), the ratio is ...

  y/x = 8/6 = 12/9 = 16/12 = 4/3

The constant of proportionality is 4/3.

Step-by-step explanation:

Prove that

Recall that ta x = sin x/ cos x and sec x = 1/cos x. So the 1st term on the LHS becomes

or with the cos x cancelling out, the equation becomes

Combining the terms on the LHS,