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>
A toy cost 0.85p in January.
Step-by-step explanation:
Given,
Mark down in January = 15%
Let,
Price in December = p
Mark down in January = 15% of price in December
Mark down in January = 
Mark down in January = 0.15p
Price of toy in January = Price in December - Mark down
Price of toy in January = p - 0.15p = 0.85p
A toy cost 0.85p in January.
Keywords: mark down, subtraction
Learn more about subtraction at:
#LearnwithBrainly
Answer:
Option A. 
Step-by-step explanation:
we know that
The lateral area of a cone is equal to

we have


substitute and solve for l (slant height)

simplify


order of operations
BEMDAS:
B - <em>Brackets</em>
E - <em>Exponents</em>
D - <em>Division</em>
M - <em>Multiplication</em>
A - <em>Addition</em>
S - <em>Subtraction</em>
73 • 7 - 5 = 511 - 5 = 506
Answer:
240-60
Step-by-step explanation:
Multiply both numbers inside the parenthesis by what's on the outside