We need to find a clever way to break up 19pi/12 into two different values. We want the two values to be special angles.
We want the two values to divide into 12 so we can simplify the fractions. One option is to break 19 into 4 and 15.
simplifying our fractions,
Apply your Tangent Angle Addition Identity,
simplify each thing using your unit circle,
multiply by conjugate of the denominator to rationalize,
expanding the numerator,
dividing each term by -2 as a final step,
I hope that helps!
Answer:
-15
Step-by-step explanation:
In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.
Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.
Thus, we have;
2a(b-3) + 5b + _
Now, putting -15 will give us the same expression in the first bracket and this gives us the following;
2a(b-3) + 5b-15
2a(b-3) + 5(b-3)
So we can have ; (2a+5)(b-3)
Hence the constant used is -15
Answer:
None of the options are correct.
Step-by-step explanation:
Let the complex number is a + ib
Given distance from origin = 17 units
Now, by distance formula distance of a point from the origin =
1) <u>Check for 2 + 15 i</u>
here, ≠ 17
2)<u> Check for 17 + i</u>
here, ≠ 17
3)<u> Check for 20 - 3 i</u>
here, ≠ 17
4) <u>Check for 4 - i</u>
here, ≠ 17
Hence, none of the options are correct.