Answer: 2 - 2*sin³(θ) - √1 -sin²(θ)
Step-by-step explanation: In the expression
cos(theta)*sin2(theta) − cos(theta)
sin (2θ) = 2 sin(θ)*cos(θ) ⇒ cos(θ)*2sin(θ)cos(θ) - cos(θ)
2cos²(θ)sin(θ) - cos(θ) if we use cos²(θ) = 1-sin²(θ)
2 [ (1 - sin²(θ))*sin(θ)] - cos(θ)
2 - 2sin²(θ)sin(θ) - cos(θ) ⇒ 2-2sin³(θ)-cos(θ) ; cos(θ) = √1 -sin²(θ)
2 - 2*sin³(θ) - √1 -sin²(θ)
Answer:
The answer is:
The angle of rotation counterclockwise about the spinner's center that maps label g to label B is 180° .
Step-by-step explanation:
The angle of rotation counterclockwise about the spinner's center that maps label g to label B is 180° .
Look at the attached picture of a spinner:
We know that the angle formed by a straight line is equal to 180°
So, in order to map label g to label B we have to set the needle of the spinner straight. Hence the angle formed by the needle is 180° ....
Each bottle would cost $2.50 :)
Answer:
Given: 
.
Assuming that 
, 
while 
.
Step-by-step explanation:
By the Pythagorean identity 
.
Assuming that , 
.
Rearrange the Pythagorean identity to find an expression for 
.
.
Given that :
.
Hence, 
would be:
.
The same constant value(s)
