Tutor profile: Abdullah D.
Find all the solutions to 4sin(3t) = 2.
t = π/18 + 2πn/3. We first isolate the trigonometric function, and get sin(3t) = 1/2. Since we are dealing with the sin function, we must look for where on the unit circle sin equals 1/2. It is at π/6 and 5π/6. Also we know that we can get these same solutions by adding 2π to them. So we get 3t = π/6 + 2πn. We divide both sides by 3 in order to get t = π/18 + 2πn/3.
What is more sensitive to outliers in a set of data, the median or the mean?
The mean is more sensitive, as it is calculated using all the values of the data set, so therefore can shift more due to outliers.
Write an equation of the line that is perpendicular to a line with slope -3 and y-intercept (0 , -5)
y = (1/3)x - 5. This equation represents a line that is perpendicular to a line with slope 3, as the slope is the inverse reciprocal, and it passes through the point (0,-5)