Credit:Dave FayramCC-BY-SA 2.0

Q: A: ### Quick Answer

**In the real world, sinusoidal functions can be used to describe mechanical functions such as the swinging of a pendulum or natural phenomena such as hours of daylight.** Sinusoidal functions graph wave forms.

As such, sinusoidal functions can be used to describe any phenomenon that displays a wave or wave-like pattern or by extension any predictable periodic behavior. They are applicable in many real life cases.

- The periodic rotations of a crankshaft in an engine
- The rotation of a Ferris wheel
- The fluctuating hours of daylight in a specific location throughout a calendar year
- Fluctuating use of energy to heat a home through the seasons.

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- Q:
## What are complementary angles in real life?

A:When it is three o’clock, the two hands of the clock are on digits 12 and 3. The seconds hand moves between these two digits and forms a pair of complementary angles in real life. The sum of the two angles formed by the seconds hand is always 90 degrees.

Full Answer >Filed Under: - Q:
## What is the period of some trig functions?

A:The periods of the trigonometric functions sine and cosine are both 2 times pi. The functions tangent and cotangent both have a period of pi. The general formula for the period of a trigonometric function can be determined by dividing the regular period by the absolute value of any multipliers.

Full Answer >Filed Under: - Q:
## How do you find the derivative of sin2x?

A:To find the derivative of a sin(2x) function, you must be familiar with derivatives of trigonometric functions and the chain rule for finding derivatives. You need scratch paper and can use a graphing calculator to check coordinates and slopes at specific values.

Full Answer >Filed Under: - Q:
## How is the end behavior of asymptotes of functions predicted?

A:

Full Answer >**The end behavior of asymptotes of functions can be predicted using either polynomial long division or synthetic division.**Finding the end behavior of asymptotes is valuable in circumstances where the degree of the numerator exceeds the degree of the denominator and neither term can be canceled out. Using the process of either polynomial long division or synthetic division produces the end product of an oblique asymptote, which is a type of linear function.Filed Under:

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