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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
y=9x-5x+2 and y=4+12
We know that 2 4 = 16 and also that 2 is referred to as the base, 4 as the index or power or the exponent. The same if expressed in terms of logarithms would be log 2
Lines- Common Polar Coordinate Graphs A few lines have quite simple equations in polar coordinates. 1. θ = β We are able to see that this is a line by converting to Car
Let a and b be fixed real numbers such that a The open interval (a, b): We define an open interval (a, b) with end points a and b as a set of all r
The law of cosines can only be applied to acute triangles. Is this true or false?
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to
Find out the least number of cables required to connect 100 computers to 20 printers to assurance that 20 computers can directly access 20 different printers. Justify your answer.
Solve 2 ln (√x) - ln (1 - x ) = 2 . Solution: Firstly get the two logarithms combined in a single logarithm. 2 ln (√x) - ln (x - l) = 2 ln ((√x) 2 ) ln (1 - x ) = 2
Gm signal is better than am signal becuase
If the squared difference of the zeros of the quadratic polynomial x 2 + p x + 45 is equal to 144 , find the value of p.
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