Question

Let f(x) = cos^(-1)x. Then the domain of f(x) is [-1,1], and the range is all real numbers.

a) True
b) False

Answer 1

A vector can indeed form the shape of a right angle triangle with its x and y components.

Step-by-step explanation:

The given statement is True.

A vector can indeed form the shape of a right angle triangle with its x and y components. In a right angle triangle, the vector can be represented as the hypotenuse, while the x and y components are the two legs of the triangle.

For example, consider a vector with x-component = 4 and y-component = 3. The magnitude of this vector can be found using the Pythagorean theorem, a^2 + b^2 = c^2, where a and b are the x and y components, and c is the magnitude of the vector. Plugging in the values, we get 4^2 + 3^2 = c^2, which simplifies to 16 + 9 = c^2. Solving for c, we find that the magnitude of the vector is √25 = 5.