Answer:

Step-by-step explanation:
Let
, we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:
(1)
(2)
Now we perform the operations: 



(3)
By the quadratic formula, we find the following solutions:
and 
Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

Then, the values of the cosine associated with that angle is:

Now, we have that
, we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:
(4)
(5)




If we know that
and
, then the value of the function is:


Answer:
0.80
Step-by-step explanation:
The z-score is found from the formula ...
Z = (X -μ)/σ
Z = (77 -73)/5 = 4/5 = 0.80
Jennifer's Z-score was 0.80.
Answer:
(-2,0), (-1,1), (0,2)
Step-by-step explanation:
Answer:
<em>t</em> ≤ -3
Step-by-step explanation:
divide both sides by 5
Not only in mathematics, scientific proof also are required in the other field of science. Also maths proofs are of particular structure, containing steps and logics. So proving is like doing science, it is science. That's why it is important to prove.
An inaccurate proof leads to errors, or stating results that are not accurate.
Example 1:
If the derivative of a function is negative, then the function is decreasing.
Example 2:
The sum of the measures of the angles of any triangle is 180°.
Example 2:
Given a triangle whose vertices are on a circle and one side is the
diameter of the triangle, then the triangle is right angled.