$\text{Use}\ (a+b)(a-b)=a^2-b^2\\\\\left(r+\dfrac{1}{4}\right)\left(r-\dfrac{1}{4}\right)=r^2-\left(\dfrac{1}{4}\right)^2=r^2-\dfrac{1^2}{4^2}=r^2-\dfrac{1}{16}$

8 0

3 years ago

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Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.

lora16 [44]

(2 - 5i) ( 2 + 5i) (i)
(4 + 10i -10i -25) (i)
(4 - 25) (i)
-21i

4 0

2 years ago

On the unit circle, an angle terminates at the coordinate (x,y). What is the relationship between the x and y components of the

Ivahew [28]

The unit circle is represented below:

As can be observed in the figure above, for an angle (t), the relation between the trigonometric functions and x and y components is:

x = cos(t)

y = sen(t)

x is positive in the first and in the fourth quadrant. Thus, cos (t) will be positive for angles in the first and fourth quadrant.

y is positive in the first and in the second quadrant. Thus, sin (t) will be positive for angles in the first and second quadrant.

6 0

1 year ago