Angles α and β are the two acute angles in a right triangle. use the relationship between sine and cosine to find the value of α if α < β. sin(2x − 8) = cos(6x − 6)

The value of angle α is 18 degree.

Step-by-step explanation:

Given information: Angles α and β are the two acute angles , α < β.

Given equation is

Equating both sides.

The value of x is 13.

The measure of angles is

Since 18<72, therefore the value of angle α is 18 degree.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source