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Q. Show basic Trigonometric Functions?
Ans.
There are six trigonometric functions and they can be defined using a right angle triangle. We first label each side according to the angle we are interested in. Consider the angle in the diagram. The horizontal side is adjacent to the angle, so we label this side adjacent. The vertical line is opposite from the angle , so we label it opposite. The hypotenuse is always the side across from the right angle.
The three most important trigonometric functions are sine, cosine and tangent. They can be defined with abbreviations as follows:
Since these are extremely important functions, it would be very helpful if you learn these ratios. You may be able to remember them better if you consider the ‘word' SOH CAH TOA.
Hypergeometric Distribution Consider the previous example of the batch of light bulbs. Suppose the Bernoulli experiment is repeated without replacement. That is, once a bulb is
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Determine or find out if the following series converges or diverges. If it converges find out its value. Solution We first require the partial sums for this series.
Q. Define Degrees and Radians? Ans. Just as your height can be measured in meters or feet and your weight can be measured in pounds or kilograms, angles can be measured in
log4 (2x+4)-3=log4 3
In these problems we will begin with a substance which is dissolved in a liquid. Liquid will be entering as well as leaving a holding tank. The liquid entering the tank may or may
Use an appropriate infinite series method about x = 0 to find two solutions of the given differential equation: y''''-xy''-y=0
Calculate subsequent proportion: A recipe calls for 1(1/2) cups of flour to make servings for 6 people. How much flour should be used to make servings for 4 people? Solut
The alternative hypothesis When formulating a null hypothesis we also consider the fact that the belief may be found to be untrue thus we will refuse it. Therefore we formula
One of the simplest physical situations to imagine of is a falling object. Thus let's consider a falling object along with mass m and derive a differential equation as, when resolv
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