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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
find the value of A and B if the following polynomials are perfect square:
Solve cos( 4 θ ) = -1 . Solution There actually isn't too much to do along with this problem. However, it is different from all the others done to this point. All the oth
Independent and Dependent Events Two events A and B are independent events if the occurrence of event A is in no way related to the occurrence or non-occurrence of event
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Inverse Cosine : Now see at inverse cosine. Following is the definition for the inverse cosine. y = cos -1 x ⇔ cos y = x for
Find the greatest number of 6 digits exactly divisible by 24, 15 and 36. (Ans:999720) Ans: LCM of 24, 15, 36 LCM = 3 × 2 × 2 × 2 × 3 × 5 = 360 Now, the greatest six digit
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Two events A and B are independent events if the occurrence of event A is in no way related to the occurrence or non-occurrence of event B. Likewise for independent
(1)Derive, algebraically, the 2nd order (Simpson's Rule) integration formula using 3 equally spaced sample points, f 0 ,f 1 ,f 2 with an increment of h. (2) Using software such
three prices are to be distributed in a quiz contest.The value of the second prize is five sixths the value of the first prize and the value of the third prize is fourfifth that of
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