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

More Old MCQ

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

A man arrives at the railroad station nearest his country home an hour and 5 minutes before the time at which he had ordered his driver to meet him with his car.
Find the probability that a person tossing three coins will get either all heads or all tails for the second time on the fifth toss.
Given $f(x) = (x - 4)(x + 3) + 4$. When $f(x)$ is divided by $(x - k)$, the remainder is k, find the value of k.
If one root of the quadratic equation with integer coefficients is $3 + 4i$, what is the constant term of the equation?
A large sewer system will cost P8,750,000 annually. There will be favorable consequences to the general public of P25,000,000 annually and adverse consequences to a small segment of the public of P2,500,000 annually. What is the benefit to cost ratio?
In how many days will the original gang of pipe layers, under the supervision of foreman B, finish the original pipe-laying job?
If an arc length is 12 m subtends a central angle $\phi$ in a circle of radius 3, find the measure of $\phi$ in terms of radians.
The number of cars passing a point on a road during a five-minute period may be modelled by the Poisson distribution with parameter 4. Find the probability that in five-minute period, fewer than 3 cars go past.
Solve for D in the given partial fraction:$$ \dfrac{4x^2 + 7x + 8}{x(x + 2)^3} = \dfrac{A}{x} + \dfrac{B}{x + 2} + \dfrac{C}{(x + 2)^2} + \dfrac{D}{(x + 2)^3} $$
Two regular pentagons are concentric to each other. One of which has sides of 20 m and the other has sides of 10 m. If their corresponding vertices are in the same direction, find the area inside the larger pentagon but outside the smaller pentagon.
A hot air balloon rising straight up from a level field is track by a range finder 500 ft from the point of lift off.
Solve for <em>x</em> if $\dfrac{3(2x - 1)^{1/2}}{x - 3} - \dfrac{(2x - 1)^{3/2}}{(x - 3)^2} = 0$
A system of streamline and orthogonal lines which show the idealized flow pattern for a given system of boundaries.
Two casks A and B were filled with two kinds of sherry. In cask A, the ratio of the two kinds of sherry is 2:7 while in B, it is 1:5.
Solve for $x$ if $\begin{vmatrix}x & 2 \\ 5 & 3\end{vmatrix} = 8$