Factoring
Factor completely: 8x + 12
What is 4(2x + 3)?
log2(x) = 5
What is 32?
The exact value of sin(π/6)
What is 1/2 ?
In a 30°-60°-90 triangle, the shorter leg is 5. Find the hypotenuse and the longer leg.
What is hypotenuse = 10 and longer leg = 5√3?
1/cscx
What is sinx?
Factor completely: x2 + 7x + 10
What is (x + 2)(x + 5) ?
logb(25) = 2
What is 5?
The exact value of tan(π/4)
What is 1?
A right triangle has a 40° angle and an adjacent side of 8. Find the length of the side opposite the 40° angle. Round to the nearest hundreth.
What is 6.72 ?
secx/cscx
What is tanx?
Factor completely: 3x2 + 9x + 6
3(x + 1)(x + 2)
log3(x + 6) = 2
What is 3?
Solve sinx = √3/2 on the interval [0,2π)
What is π/3 and 2π/3 ?
A right triangle has an angle of 25° and the side opposite this angle is 7. Find the hypotenuse. Round to the nearest hundreth.
What is 16.55 ?
sec2x - tan2x
What is 1?
Factor completely: 4x3 + 12x2 + 8x
What is 4x(x + 1)(x + 2) ?
Expand the logarithm as much as possible: log(12x2y)
What is log12 + 2logx + logy?
Solve cosx = -1/2 on the interval [0,2π)
What is 2π/3 and 4π/3 ?
A right triangle has a leg of 9 and a leg of 12. Find the angle opposite the shorter leg. Round to the nearest hundreth.
What is 36.87o ?
csc3x−cot2xcscx
What is cscx?
Factor completely: 6sin2x + 15sinx + 9
What is 3(2sinx + 3)(sinx + 1) ?
Condense the logarithm as much as possible, with no rational exponents: loga + logb - (1/2)logc
What is log(ab/√c) ?
Solve 2cos2x - 1 = 0 on the interval [0,2π)
What is π/4, 3π/4, 5π/4, 7π/4 ?
A person is standing 50 ft from the base of a building. The angle of elevation to the top of the building is 30°. How tall is the building? Round to the nearest hundreth.
What is 28.87 ft ?
(sec2x - 1)/(sec2x)
What is sin2x ?