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.Know More
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.
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 >
Parent functions are the unmodified form of a family of functions, and parent functions must preserve the shape of the family graph. Modifications to the parent function are transformations. Adding, subtracting, multiplying or dividing by a real number causes a transformation, thus moving or modifying the parent function graph. Parent functions often undergo several transformations.Full Answer >
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 >
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 >