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>
Answer:
x=6 is not a solution
Step-by-step explanation:
We can substitute 6 as x to find out:
5(6-3)=6+13
first, because of PEMDAS we'll do 6-3
5(3)=6+13
multiply 5 by 3 and add 6 and 13
15=19
Since the statement is not true, that means that x=6 is not a solution
Hope this helps!
The answer you picked is correct.
Answer:
reciprocal of 1 is 1 and 1/9 is 9.
