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=$52,000
R=6.75%
T=5.5 years
P=$19,305
[|] Answer [|]
[|] Explanation [|]
Rewrite the equation with parts separated:
8 + 7/9 - 3 - 2/3
Solve the whole number parts:
8 - 3 = 5
Solve the fraction parts:
7/9 - 2/3
Find LCD of 7/9 & 2/3
7/9 - 6/9 = 1/9
5 + 1/9 = 5 1/9
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