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3 years ago

Is sec (−θ) equal to sec θ or - sec θ? How do you know?

Mathematics

1 answer:

Lorico [155]3 years ago

8 0

Answer:

sec(- θ ) = secθ

Step-by-step explanation:

The relationship between sec and cos is

sec x = $\frac{1}{cosx}$

Now cos(- x) = cosx

Thus

sec(- θ ) = secθ

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What is the distributive property?

AleksAgata [21]

Answer:

Below

Step-by-step explanation:

Here an example to illustrate the distributive property wich is used in multiplication

● a ( b + c) = ab + ac

It is applied while the transition from the multiplication to tge addition

4 0

4 years ago

Determine whether the graph of the equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of th

Murrr4er [49]

$\bf x^2y^2+3xy=1\\\\
-------------------------------\\\\
\stackrel{\stackrel{\textit{test for x-symmetry}}{y=-y}}{x^2(-y)^2+3x(-y)=1}\implies x^2y^2-3xy=1\impliedby 
\begin{array}{llll}
\textit{function differs}\\
\textit{from original}\\
\textit{no dice}
\end{array}\\\\
-------------------------------\\\\$

$\bf \stackrel{\stackrel{\textit{test for y-symmetry}}{x=-x}}{(-x)^2y^2+3(-x)y=1}\implies x^2y^2-3xy=1\impliedby 
\begin{array}{llll}
\textit{function differs}\\
\textit{from original}\\
\textit{no dice}
\end{array}\\\\
-------------------------------\\\\
\stackrel{\stackrel{\textit{test for origin-symmetry}}{x=-x~~y=-y}}{(-x)^2(-y)^2+3(-x)(-y)=1}\implies x^2y^2+3xy=1\impliedby 
\begin{array}{llll}
origin\\symmetry
\end{array}$

so, recall, the function has symmetry when the yielded resulting function resembles the original function, after negativizing the variable(s).

Also recall that minus*plus is minus, and minus*minus is plus.

7 0

4 years ago

In a class of 28 students, 16 play an instrument and 11 play a sport. There are

NARA [144]

Answer: 6/11

Step-by-step explanation:

28 - 7 = 21

16 + 11 - 21 = 6

11 - 6 = 5

16-6 = 10

10 + 5 15

P (a) = 16/28

p (b) = 11/28

A I B = 6/28/11/28 = 6/11

5 0

2 years ago

Find the circumference use 3.1; for pie

lisov135 [29]

Answer:

12.56 m

Step-by-step explanation:

If the radius is 2, the the diameter will be 4 since the diameter = 2 radius. Next, you will multiply 3.14 * 4 to get your answer:

12.56 m

4 0

3 years ago

What is the solution to the system of equations shown on the graph?

Dmitry_Shevchenko [17]

The solution is (-1,-3), it is where the two lines meet.

7 0

3 years ago