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.

Find the product of roots of $\dfrac{x^{2002} + 4x^{2001}}{4x^{2000}} = 8$.
Two vertices of a rectangle are on the positive x-axis. The other two vertices are on the lines y = 4x and y = 6 - 5x. What is the maximum possible area of the rectangle?
A line with equation ax + by = 3 passes through (6, 3) and (-1, -1). Find a and b without finding the slope.
sHh2p5G-2 The magnitude of the reaction at A (kN) is nearest to:
A person buys a piece of property for P100,000 down payment and ten deferred semi-annual payments of P8,000 each starting three years from now.
Solve for x: x - 1 / x = 0.
Is x - 2 a factor of x^3 - 3x^2 + 7x - 10?
A student in a chemistry laboratory wants to form a 32-milliliter mixture of two solutions to contain 30% acid. Solution A contains 42% acid and solution B contains 18% acid. How many milliliters of each solution must be used?
If $a$ and $b$ are integers, then $a+b$ is also an integer. This is true by which of the following properties?
A company’s daily profit P in pesos, is given by the equation P = -2x^2 + 120x - 800
A highway has a gradient of 0.087. How many meters would an automobile rise vertically if it traveled 2 miles along the way?
In a family of five children, what is the chance that there are three boys and two girls?
A circle with radius 6 has half its area removed by cutting off a border of uniform width. Find the width of the border.
A decagon has how many diagonals?
Which of the following is equal to $\dfrac{\sin \theta}{1 + \cos \theta}$.

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