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Q. What is Common Triangles?
Ans.
Some triangles appear more commonly than others. You will come across two triangles repeatedly as you learn more about trigonometry.
The most common isosceles triangle found in trigonometry is constructed with the two equal sides both of length 1 with an interior right angle.
We can use the Pythagorean Theorem to determine the length of the missing side.
12 + 12 = x2 1 + 1 = x2 2 = x2
√2 = √x2
√2 = x
The length of the missing side is
What are the missing angles?
Recall from geometry that if a triangle has two sides of equal length, the angles opposite those sides must be equal to each other.
Since the sum of the interior angles of a triangle must equal 180o , we have:
90o + 2x = 180o 2x = 180o - 90o 2x = 90o x = 45o
The missing angles are 45o , or radians. This is because
1. a) Given a digraph G = (V,E), prove that if we add a constant k to the length of every arc coming out from the root node r, the shortest path tree remains the same. Do this by
1. His favorite current carrot drink contain 40%. but h eneeds add to 80 quarts wife brought his perfect drink mix.
Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers [7] 2.2 In a given day he will
L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12 R.H.S =c
Larry earned $32,000 per year. Then he received a (3)1/4% rise. What is Larry's salary after the raise? If Larry earns a (3) 1/4 % (or 3.25%) raise, he will earn 103.25% of his
Solve for x , y (x + y - 8)/2 =( x + 2 y - 14)/3 = (3 x + y - 12 )/ 11 (Ans: x=2, y=6) Ans : x+ y - 8/2 = x + 2y - 14 /3 = 3x+ y- 12/11
how can you memorise you times facts
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Applications of derivatives : At last, let's not forget about our applications of derivatives. Example Assume that the amount of air in a balloon at any time t is specified
1. Build an equation for a hyperboloid of two sheets with the following properties: a. The central axis of the hyperboloid is the y-axis b. The two sheets are 4 units apart, an
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