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.

In a survey concerning the smoking habits of consumer it was found that 55% smoke cigarette A, 50% smoke cigarette B, 40% smoke cigarette C...
Instead of multiplying the number by 17, Fred divided it by 17. If the answer he obtained was 1, what should have been the correct answer?
According to Hooke’s law, the force F required to stretched a spring of x units is directly proportional to the length x.
A pump discharges 50 ton of water per hour at the height of 8 m. The overall efficiency of the pumping system being 69%. Calculate the energy consumed by the pump in 2 hours, expressed in MJ.
Without the use of calculator, solve for y if $\ln y = \frac{1}{2}\ln 4 + \frac{2}{3} \ln 8$.
dYv94eu-2 The volume at 420 degree K
Find the approximate amount of material in an open rectangular box whose inside measurements are 1.60 m long, 1.00 m wide and 0.60 m deep, if the box is made of lumber which is 1.75 cm thick.
A student goes to the library. The probability that she checks out (a) a work of fiction is 0.40, (b) a work of non-fiction is 0.30, and (c) both fiction and non-fiction is 0.20. What is the probability that the student checks out a work of fiction, non-f
Compute the following: $\displaystyle \sum_{j = 1}^6 \left[ -3 + 5(j - 1) \right]$.
A combination lock has 60 different positions. To open the lock, the dial is turned to a certain number in the clockwise direction, then to a number in the counterclockwise direction, and finally to a third number in the clockwise direction.
The magnetic bearing of a line was recorded as S 80° 15' W in 2000 at Mactan Island which had a declination of 16° E in that year. Compute the present magnetic bearing of the same line in 2006 if the declination in 2006 is 4° 30' E.
Eight books are to be arranged on a bookshelf. Three of the books are by the same author. In how many ways can the book be arranged on the bookshelf if the books by the same author are to stay together?
It is the term used in the case of pipe flowing under pressure, it is the circumference of the circular section, while in the case of a rectangular open channel flow, it is the sum of the base and the two sides.
It is a measure of the resistance of a certain fluid to gradual deformation by shear or tensile stresses.
A man drives from station A to station B 60 km away at an average speed of 30 kph and return to A at an average speed of 20 kph. What was the average speed of the man in the whole journey?