PreCalc Funsies

Front

What is the definition of secant (sec)?

Back

The secant of an angle in a right triangle is the ratio of the length of the hypotenuse to the length of the adjacent side. It is also defined as sec(x) = 1/cos(x).

Front

What is the relationship between cosecant (csc) and sine (sin)?

Back

csc(x) is the reciprocal of sin(x), so csc(x) = 1/sin(x).

Front

Calculate f(-5) for the function f(x) = 2x^2 - 3x.

Back

f(-5) = 2(-5)^2 - 3(-5) = 50 + 15 = 65.

Front

Calculate g(1) for the function g(x) = 6x + 2.

Back

g(1) = 6(1) + 2 = 6 + 2 = 8.

Front

What is the sum of f(-5) and g(1) if f(-5) = 65 and g(1) = 8?

Back

f(-5) + g(1) = 65 + 8 = 73.

Front

What is the definition of the Difference Quotient?

Back

Front

What is the amplitude of a function?

Back

The amplitude of a periodic function is the maximum distance from the midline to the peak (or trough). For example, if the function oscillates between -2 and 2, the amplitude is 2.

Front

What is the definition of cotangent (cot)?

Back

The cotangent of an angle is the ratio of the length of the adjacent side to the length of the opposite side in a right triangle. It is also defined as cot(x) = 1/tan(x).

Front

What is the Pythagorean identity involving secant and tangent?

Back

The Pythagorean identity states that sec^2(x) = 1 + tan^2(x).

Front

What is the formula for the sine of an angle in terms of the unit circle?

Back

In the unit circle, sin(θ) is the y-coordinate of the point where the terminal side of the angle θ intersects the circle.