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Law of cosines with a right angle?
The law of cosines with a right angle is just the pythagorean theorem. The cosine of 90 degrees is 0. That is why the hypotenuse squared is equal to the sum of both of the legs squared
What are the answers to law of cosines in A plus?
The law of cosines can be written in one form as: c2 = a2 + b2 - 2abCos C. Without 3 of the 4 variables being given, there is no way to answer this question.
Can the law of cosines be applied to right and non-right triangles?
Yes
How do you find the diagonal measurement of a quadrilateral?
There is no general formula. You could use basic trigonometry.
Why is the law of cosines more accurate than the law of sines?
They are both equally accurate. However, sin(x) = sin(180-x) where x is in degrees. This means that the sin law cannot distinguish between, say an angle of 30 degrees and 150 degrees. On the other hand, cos(x) = -cos(180-x) and so has a unique solution for 0<x<180 which is valid range for angles of a triangle.
Law of cosines with a right angle?
The law of cosines with a right angle is just the pythagorean theorem. The cosine of 90 degrees is 0. That is why the hypotenuse squared is equal to the sum of both of the legs squared
Who discovered the law of cosines?
A caveman from 10,000 BCal-Kashi was the 1st to provide an explicit statement of the law of cosines in a form suitable for triangulation
How do you calculate the angles of a triangle knowing the sides?
Law of cosines
What are the answers to law of cosines in A plus?
The law of cosines can be written in one form as: c2 = a2 + b2 - 2abCos C. Without 3 of the 4 variables being given, there is no way to answer this question.
When you have a right angle what does the law of cosines reduce to?
cosine = adjacent/hypotenuse
Can the law of cosines be applied to right and non-right triangles?
Yes
Can law of cosines can only be applied to acute triangles?
No, it applies to all triangles.
Is it true that the law of cosines reduces the Pythagorean theorem with right triangles?
Yes
Can The law of cosines can only be applied to acute triangles?
No, it applies to all triangles.
What does the law of cosines reduce to when dealing with a right triangle?
D. The Pythagorean Theorem
How do you find the diagonal measurement of a quadrilateral?
There is no general formula. You could use basic trigonometry.
Why is the law of cosines more accurate than the law of sines?
They are both equally accurate. However, sin(x) = sin(180-x) where x is in degrees. This means that the sin law cannot distinguish between, say an angle of 30 degrees and 150 degrees. On the other hand, cos(x) = -cos(180-x) and so has a unique solution for 0<x<180 which is valid range for angles of a triangle.
