Answer:
1. From sin²θ +cos²θ =1 and sinθ=-2/3, we see that cosθ=√(1-sin²θ) or cosθ=√5/3, where the sign of cosine is positive as it is in Quadrant IV. x lies in 4th quadrant , cos x is +ve. , cos x = √5/3. Answer.
answer : cos x = √5/3
2. 4/3
3. sin (- theta) = - sin (x) so sin x = 1/6
tan = sin / cos = 1/6 / cos = - sqrt35/35 solve for cos
cos = 1/6 * (-35/sqrt35)
= -35 sqrt35 /210
answer : −35/√210
4. The cosine function is an even function, so cos(θ) = cos(-θ).
The relationship between sin(θ) and cos(θ) is sin(θ) = ±√(1 -cos(θ)^2)
For sin(θ) < 0 and cos(θ) = (√3)/4, sin(θ) = -√(1 -3/16) = -√(13/16)
sin(θ) = -(√13)/4 For sin(θ) < 0 and cos(0) = √(3/4), ...
sin(θ) = -√(1 -3/4) = -√(1/4) sin(θ) = -1/2
answer : -13/√4
5. answer : tan^2 θ ⋅ cos^2 θ = 1 − cos^2 θ would be the first step
Answer:
f(x)=3x−1
2
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values. The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(-∞,∞)
Set-Builder Notation:
{x|x∈R}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
(−∞,∞)
Set-Builder Notation:
{y|y∈R}
Determine the domain and range.
Domain:
(−∞,∞),{x|∈R}
Range:
(−∞,∞),{y|y∈R}
<h2>
Options A, B and C are correct choices. :) !!</h2>
Step-by-step explanation:
We have been given that Mael 15 ml of bleach with 3.75 liters of water to make a sanitizing solution for a daycare.
Let us see our given options one by one to find which could be combinations of volumes of bleach and water for Mael's sanitizing solution.
Let us compare our given volume proportions with volume proportion of Mael's sanitizing solution.
A. 12 ml bleach and 3 liters of water.
We can see that both proportions are equal, therefore, option A is a correct choice.
B. 6 ml bleach and 1.5 liters of water.
We can see that both proportions are equal, therefore, option B is a correct choice.
C. 3 ml bleach and 0.75 liters of water.
We can see that both proportions are equal, therefore, option C is a correct choice.
D. 20 ml bleach and 5.5 liters of water.
We can see that our both proportions are not equal, therefore, option D is not a correct choice
<h2>
plz brainly me :)</h2>
16 times larger is the new area when compared to the original.
Given that, the length of each side of the square is quadrupled.
We need to find how many times larger is the new area when compared to the original.
<h3>What is the area of a square?</h3>
A square is a closed two-dimensional shape with four equal sides and four equal angles. The four sides of the square form the four angles at the vertices. The sum of the total length of the sides of a square is its perimeter, and the total space occupied by the shape is the area of the square. The formula to calculate the area of a square is a².
Let the length of each side of the square be x.
Then the length of each side of the new square will be 4x.
Now, the area of the original square = x²
The area of the new square = (4x)² = 16x²
So, the new square = 16 × the original square
Therefore, 16 times larger is the new area when compared to the original.
To learn more about the area of a square visit:
brainly.com/question/1561162.
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