$\frac{sin(x - y)}{cos \: x \: sin \: y} \\ \\ = \frac{sin \: x \: cos \: y -cos \: x \: sin \: y }{cos \: x \: sin \: y} \\ \\ = \frac{sin \: x \: cos \: y }{cos \: x \: sin \: y} + \frac{-cos \: x \: sin \: y }{cos \: x \: sin \: y} \\ \\ = \frac{sin \: x \:}{cos \: x } \times \frac{cos \: y }{sin \: y} - 1 \\ \\ = tan \: x \: cot \: y - 1 \\ \\ \therefore \: \frac{sin(x - y)}{cos \: x \: sin \: y} = tan \: x \: cot \: y - 1 \\ \\ thus \: proved \\$

6 0

3 years ago

Jamin wants to paint a wall in his bedroom. In order to know how much paint to buy, he first needs to know the approximate area.

Alekssandra [29.7K]

Answer:

Area of window = 3 ft²

Area to be painted = 45 ft²

Explanation:

To get the area to be painted, we will start by getting the area of the whole wall (including the window), then subtract from it the area of the window

1- getting area of whole wall:

From the figure, we can note that the length and width of the wall are given as 6 ft and 8 ft

Area of whole wall = length * width

Area of whole wall = 6 * 8 = 48 ft²

2- getting area of window:

Again, from the figure, we can note that the length and width of the window are 2 ft and 18 in (which is equivalent to 1.5 ft)

Area of window = length * width

Area of window = 2 * 1.5 = 3 ft²

3- getting area to be painted:

Area to be painted = area of whole wall - area of window

Area to be painted = 48 - 3 = 45 ft²

Hope this helps :)

5 0

3 years ago

What is the name for numbers that are greater than zero

grigory [225]

Those are positive numbers.

Those that are less than zero are called negative numbers.

Zero itself can be considered both, or neither.

3 0

3 years ago