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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.
41x + 53y = 135, 53x +41y =147 Ans: 41x + 53 y = 135, 53 x + 41 y = 147 Add the two equations : Solve it, to get ... x + y = 3 -------(1) Subtract : Solve it , to
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7=1/w-4(1/11
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use the simplex method to solve the following lp problem. max z = 107x1 + x2 + 2x3 subject to 14x1 + x2 - 6x3 + 3x4 = 7 16x1 + x2 - 6x3 3x1 - x2 - x3 x1,x2,x3,x4 > = 0
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Q. Describe Real numbers? Ans. There are a few different ways to describe real numbers. Without going into any of the very technical definitions used by mathematicians, I'
use venn diagram to present
assignment of mathematics in b.sc. 1sem
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