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>
Matilda only ate 1/12 of the pie as 1/2 of 1/6 = 1/12
4 times 4=16 So in four days, Cheyrl traveled 16 miles.
Steve ran 11 miles
let the distance Steve ran be x
Then distance Kevin ran is x + 4 ( 4 miles more than Steve )
x + x + 4 = 26 ( the sum of their distance is 26 )
2x + 4 = 26 ( subtract 4 from both sides )
2x = 22 ( divide both sides by 2 )
x = 11
Steve ran 11 mies and Kevin ran 11 + 4 = 15 miles
check 11 + 15 = 26
Answer:
-0.6283
Step-by-step explanation:
-36° × π/180 = -0.6283rad
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