<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}
Answers is
A'= -3,3
B'=4,-1
C'=-2,0
Answer:
x = 2
Step-by-step explanation:
since both equal y, you can set them equal to each other
x + 4 = 3x + 0
subtract x on both sides
4 = 2x
divide by 2 on both sides
2 = x
♡♡ hope this helped ♡♡
Answer:
45%
Step-by-step explanation:
45 boxes are shaded
so percentage shaded is 45 out of the total which is 100
so 45 / 100 X 100
=45%