College Algebra and Trigonometry Flashcards

6 cards from real COMPASS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 College Algebra and Trigonometry flashcards as text

What is log₂(32)?
Answer: 5
log₂(32) = 5 because 2⁵ = 32.
Solve: e^x = 20 (round to the nearest hundredth)
Answer: 2.996
Taking the natural log of both sides: x = ln(20) ≈ 2.996.
Which of the following is the reciprocal of sin(θ)?
Answer: csc(θ)
The reciprocal of sine is cosecant: csc(θ) = 1/sin(θ).
What is sin(30°)?
Answer: 1/2
sin(30°) = 1/2, a standard value from the unit circle.
Find the inverse function of f(x) = 3x + 6
Answer: f⁻¹(x) = (x − 6)/3
Swap x and y, then solve: x = 3y + 6 → y = (x − 6)/3.
What is the period of y = cos(2x)?
Answer: π
The period of y = cos(bx) is 2π/b = 2π/2 = π.