Multiple Choice Question: Which of the following equations is true for all angles $\theta$?

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Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.

You deposit \$1,000 into a 9% account today. At the end of two years, you will deposit another \$3,000.
What is the integral of (3 cos^5 x) dx with limits from 0 to pi/2.
A man and his wife invite 8 of their friends to a dinner. They are to be seated around a round table. How many arrangements can be made if the man and his wife are to sit side by side?
Solve for x if $\ln e^{\sqrt{x + 1}} = 3$.
If x + y = 5 and xy = 6, find the value of x^3 + y^3.
According to Hooke’s law, the force F required to stretched a spring of x units is directly proportional to the length x.
Given that w varies directly as the product of x and y and inversely as the square of z and that w = 4 when x = 2, y = 6, and z = 3. Find the value of w when x = 1, y = 4, and z = 2.
Three adjacent faces of a rectangular parallelepiped measures 8 square inches, ...
A wall 10 ft high along the property line is 8 ft from a house.
In an open channel flow, the discharge at a certain section can be measured by the use of the equation: $Q = \frac{2}{3}C \sqrt{2g} ~ LH^{3/2} + \frac{8}{15}C \sqrt{2g} ~ \tan (\frac{1}{2}\theta) ~ H^{5/2}$
For a spherical triangle: A = 63deg 19.6min; b = 124deg 17.8min; and c = 83deg 16.6min, find a.
FtHV51n-2 Find the time at which the brine leaving will contain 1 lb/gal of salt.
A line is divided into 12 equal parts. If the measure of each part is a prime integer, what is the possible length of the line?
xO3wmaY-2 If the monthly deposit after two years is increased to P1,000, what is the amount of the deposit after five years?
For a given GP, a1 = 5/21 and r = 1.2. Calculate the product of the first 21 terms.

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