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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 p and q for which the system of equations represent coincident lines 2x +3y = 7, (p+q+1)x +(p+2q+2)y = 4(p+q)+1 Ans: a 1 = 2, b 1 = 3, c 1 = 7 a 2 =
what is the length of a line segment with endpoints (-3,2) and (7,2)?
A boy covered half of distance at 20km/hr and rest at 40kmlhr. calculate his average speed.
2 5 - 6 7 4 6 8 -10 8- 6 1 4
Q. What is a percentage? Ans. Percent means "per hundred", or "out of 100". A percentage can be written as a ratio, or fraction, where the denominator (bottom) is 100.
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to difine trigonometric ratios of an angle,is it necessary that the initial ray of the angle must be positive x-axis?
f(x)+f(x+1/2) =1 f(x)=1-f(x+1/2) 0∫2f(x)dx=0∫21-f(x+1/2)dx 0∫2f(x)dx=2-0∫2f(x+1/2)dx take (x+1/2)=v dx=dv 0∫2f(v)dv=2-0∫2f(v)dv 2(0∫2f(v)dv)=2 0∫2f(v)dv=1 0∫2f(x)dx=1
Related problems,working rule,defnitions
A population forms a normal distribution with a mean of μ=80 and a standard deviation of o=15. For every samples, compute the z-score for the sample mean and determine whether the
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