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How would you explain to someone who has not yet studied trigonometry the difference between an identity and an equation?
An identity is true for all values of the variable whereas an equation is true for only a finite number of values.For example,Identity: (x + 2)3 = x3 + 6x2 + 12x + 27 is true, whatever the value of x.ButEquation: x3 - x = 0 is true only when x = -1, 0 or 1.
One number is equal to two times a second number two times the first number plus two times the second number is twenty if you let x stand for the first number and y for the second what are the two num?
X = 1st numberY = 2nd numberFacts given:X = 2Y (One number is equal to 2 times the second number)2X + 2Y = 20 (2 times the 1st number, plus 2 times the 2nd number is 20)Now we can easily find X and Y.We'll use a method called substitution to help us.Our first equation: X = 2Y is already solved for X. (it equals 2Y's!)So let's substitute x = 2y into the 2nd equation and find out what y is. Remember to use parenthesis!2x + 2y = 202(2y) + 2y = 204y + 2y = 206y = 20y = 20/6y = 10/3We found a number for Y, even though it is a fraction.Let's substitute it back into our 1st equation to figure out what x is.x = 2yx = 2(10/3)x = 20/3In order to check and see if x = 20/3 and y = 10/3, substitute both x and y into either equation. You pick!2x + 2y = 202(20/3) + 2(10/3) = 2040/3 + 20/3 = 2060/3 = 2020 = 20 (check)
What is the equation for Pythagoras theorem?
The equation for the Pythagoras Theorem is written as: a2 + b2 = c2. The theory of this equation is to provide analysis of the sum of squares from 2 different sides.
What is the difference true mach number and indicated mach?
Indicated Mach number which is corrected for instrument and position errors equals True Mach Number Instrument errors are errors due to manufacturing or design defects that all instruments have to some small degree. Position error is due to the position of the pitot and static ports on the aircraft getting disturbed air pressure from some part of the aircraft's structure.
What are solutions of trigonometric equations?
That means the same as solutions of other types of equations: a number that, when you replace the variable by that number, will make the equation true.Note that many trigonometric equations have infinitely many solutions. This is a result of the trigonometric functions being periodic.
