Precalculus Semester 2 Skills Practice

Front

What is the factored form of sin^2(x) + 3sin(x) + 2?

Back

(sin(x) + 2)(sin(x) + 1)

Front

What is the factored form of csc^3(x) - csc^2(x) - csc(x) + 1?

Back

cot^2(x)(csc(x) - 1)

Front

What must be true in order to ADD two matrices?

Back

The dimensions must be equal.

Front

What are the constraint and optimization equations for a closed rectangular box with square base made from 120 square inches of cardboard?

Back

2x^2 + 4xy = 120 and V = x^2y

Front

Which matrix is correct?

Back

Matrix B

Front

Define the sine function in terms of a right triangle.

Back

In a right triangle, sin(θ) = opposite side / hypotenuse.

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin^2(x) + cos^2(x) = 1.

Front

What is the formula for the volume of a rectangular prism?

Back

V = length × width × height.

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

The sides are in the ratio 1 : √3 : 2.

Front

What is the definition of a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.