We will start off working on the right hand side.
<span>cot x - tan x </span>
<span>= [cos x / sin x] - [sin x / cos x] </span>
<span>= [(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>This is where it gets a bit tougher if you do not have your formula list with you. </span>
<span>(cos x)^ 2 - (sin x)^2 = cos(2x) </span>
<span>sin 2x = 2 sin x cos x </span>
<span>Note that by arranging the second formula, we will have sin x cos x = (1/2) sin 2x </span>
<span>Hence, we will get: </span>
<span>[(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>= [cos 2x] / (1/2)[sin 2x] </span>
<span>= 2[cos 2x] / [sin 2x] </span>
<span>= 2cot 2x </span>
i will fill the boxes from top down
4(-2)-5=-13
4(1)-5=-1
4(2)-5=3
4(3)-5=7
Answer:
A,D,E
Step-by-step explanation:
Answer:
C, E, F
Step-by-step explanation:
A is false because dilations can not only increase the length of line segments, but also decrease the length of line segments.
B is a true statement.
C is true because when angles undergo dilations, their "size" does not change.
D is false because dilations do not increase the measures of angles.
E is false because a triangle that underwent a dilation becomes similar, not congruent.
F is true because of E's reasoning.
