<h3>Given</h3>
tan(x)²·sin(x) = tan(x)²
<h3>Find</h3>
x on the interval [0, 2π)
<h3>Solution</h3>
Subtract the right side and factor. Then make use of the zero-product rule.
... tan(x)²·sin(x) -tan(x)² = 0
... tan(x)²·(sin(x) -1) = 0
This is an indeterminate form at x = π/2 and undefined at x = 3π/2. We can resolve the indeterminate form by using an identity for tan(x)²:
... tan(x)² = sin(x)²/cos(x)² = sin(x)²/(1 -sin(x)²)
Then our equation becomes
... sin(x)²·(sin(x) -1)/((1 -sin(x))(1 +sin(x))) = 0
... -sin(x)²/(1 +sin(x)) = 0
Now, we know the only solutions are found where sin(x) = 0, at ...
... x ∈ {0, π}
Nobody can really answer this unless you can just give a random equation like 5*x=25 something like that
Answer:
3.5 meters
Step-by-step explanation:
- 1:4 = x:14 ; where x is the unknown length of A
- 1/4 = x/14 (Cross multiply)
- Giving us, 4×x = 14×1
- 4x = 14 (Divide both sides by co-efficient of x, which is 4)
- x = 14/4
- x = 3.5
- Therefore, the length of A is 3.5 meters.
Answer:
Step-by-step explanation:
- First, lets get rid of the fraction. I did this by multiplying both sides by
.
- We want to isolate
on one side of this equation. Let's put any values with on one side of the equation, and normal integers on the other.
- Divide both sides by
.
- If your teacher wants you to leave your final answer as an improper fraction, your final answer is this. If they want it to be a mixed number or decimal, your final answer will be:
Answer:
In step 3
Step-by-step explanation:
