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Why can't you square each side of the equation when verifying a trigonometric identity?
When we work to verify an identity, we work separately to both sides, and to see in the end if we have an equality.
If we square both sides, that means that we assume that the equality exist, so we do not need to verify it. It looks for a solution, which will tell us if the statement is sometimes, always (identity), or never true.
What else can I help you with?
What Three challenging math equations that equal to a 100?
Start with the equation:x = 100 Then, do different transformations, doing the same thing to both sides of the equation - you might add the same number to both sides, then multiply by some number, then add again; or at some point you might square both sides, or apply exponential, logarithmic, trigonometric, and inverse trigonometric functions. You can make it as challenging as you want, this way.
What equation results from completing the square and then factoring?
A quadratic equation
When both sides of the equation are squared the resulting equation is?
Remains true. But this does not apply to square roots.
How do you do square root math problems?
That will obviously depend on the specific problem. If you have an equation with a variable under a square root sign, it often helps to square both sides of the equation.
What is the first step in solving this equation by completing the square?
The first step would be to find the equation that you are trying to solve!
How can the equation y sin(arccosx) be rewritten so that no trigonometric expressions are involved?
sin(arccosx) = square root of (1 - x squared)
When would you use Integration by Trigonometric Substitution?
There are no universal rules. However, there are a number of situations : quadratic functions and their square roots for which trigonometric substitutions are effective.
What is the sign of the trigonometric function for the angle 120 degrees?
it is the square root of 3 divided by 2
What can't linear equations have in order to be a linear equation?
To be a linear equation, the equation must be set equal to Y. Also, it can't have any square roots, or any variables on the bottom of a fraction. In general, the terms of a linear equation must be either first-degree polynomials with respect to the variables, constants, or products of the two. This disallows terms involving trigonometric, logarithmic, exponential, hyperbolic, and power expressions (except for the power of 1) and their inverses.
What Three challenging math equations that equal to a 100?
Start with the equation:x = 100 Then, do different transformations, doing the same thing to both sides of the equation - you might add the same number to both sides, then multiply by some number, then add again; or at some point you might square both sides, or apply exponential, logarithmic, trigonometric, and inverse trigonometric functions. You can make it as challenging as you want, this way.
What algebra 2 problem equals 24?
What topics are included in "Algebra 2" may vary depending on the specific textbook. But in general, if you want an equation that has a certain solution, in this case 24, you can start with the equation:x = 24 Then you can do several operation on this equation, always doing the same on both sides, such as: * Add or subtract the same number on both sides * Multiply or divide both sides by the same number * Square both sides * Apply functions, such as trigonometric functions, inverses trigonometric functions, exponential functions, etc. In general, you can do this repeatedly.
How do you solve trigonometry equation exactly?
Exact solutions of trigonometric equations those in which you leave values like pi or square roots in the answer rather than their decimal approximations. So, for example, the exact value of sin(60 deg) is sqrt(3)/2, not 0.8660
How can you square a complex number in trigonometric form?
Multiply the angle by 2, and square the magnitude. The angle can be rewritten between (-180° & +180°) (or -pi and +pi radians), after multiplying.
What equation results from completing the square and then factoring?
A quadratic equation
What is a root of equation?
square
Can you square the trigonometric reciprocal identities if you need to for example sine squared equals 1 divided by cosecant squared?
Yes, this is a perfectly legitimate thing to do in the trigonometric functions. I will solve all your math problems. Check my profile for more info.
How is a radical equation similar to a linear equation?
Technically,no. A radical equation has a radical (Square root) in it, and has two solutions because the square root can be positive or negative.
