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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
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how to divide an arc in three equal parts
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a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k
Show all your work. 80% of your score is for correct justified answers; 20% is for correctly and clearly demonstrating why. For the graphing problems, use www.desmos.com/calculator
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if theta is a positive acute angle and 2sin theta +15cos square theta=7 then find the value of cot theta
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