This quiz has 9 questions with 4 options

Which equation represents a tangent function with a domain of all Real numbers such that x is not equal to pi over 2 plus pi tim

Rudik [331]

The equation that represents a tangent function with a domain of all real numbers such that $x \ne \frac{\pi}2 + n \pi$ is $g(x) = \tan(n \pi - \frac{\pi}2)$

<h3>Domain</h3>

The domain of a function is the set of input values the function can take

The domain of the function is given as:

$x \ne \frac{\pi}2 + n \pi$

<h3>Undefined function</h3>

This means that, we determine the function that would be undefined when the input value equals

$x = \frac{\pi}2 + n \pi$

From the list of given functions, only function g(x) is undefined at $x = \frac{\pi}2 + n \pi$

Hence, the tangent function is $g(x) = \tan(n \pi - \frac{\pi}2)$

Read more about domain at:

brainly.com/question/1770447

7 0

1 year ago

Help please I’m being timed!!

lisov135 [29]

Answer:d

Step-by-step explanation:

5 0

2 years ago

The measure (in inches) of the sides of triangle RIO are equivalent to three consecutive odd integers. The perimeter is 201 inch

mariarad [96]

Let
x-------------> first odd integer
x+2---------> second odd integer
x+4---------> third odd integer

we know that
(x)+(x+2)+(x+4)=201--------> 3x+6=201--------> 3x=195-------> x=65

the three sides of triangle RIO are
x=65 in
x+2-----> 65+2-----> 67 in
x+4----> 65+4------> 69 in

then
69²=4761----------> c²
(65²+67²)=8714--------> a²+b²
c² < (a²+b²)---------> the triangle RIO is not obtuse
Is acute angle triangle

statements
1) The triangle is obtuse--------> is false
Is acute angle triangle

2) The triangle is scalene-----> is correct
The three sides measures are diferent

3)The smallest side measures 61 inches--------> is false
The smallest side measures 65 in

4)The largest side measures 69 inches-------> is correct

5) If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller
If triangle RIO is dilated of 1/3, then news sides are
65/3------> 21.67 in
67/3-------> 22.33 in
69/3------> 23 in

the new perimeter is=21.67+22.33+23------> 67 in
201-67=134 in
therefore
If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller----------> is false

Because the perimeter of the dilated triangle will be 134 units smaller

6 0

2 years ago

Read 2 more answers

Please help with this question

natita [175]

Answer:

$12\sin{(2\theta)}\cos{(\theta)}$

Step-by-step explanation:

The appropriate trig identity is ...

$\sin{a}+\sin{b}=2\sin{\left(\dfrac{a+b}{2}\right)}\cos{\left(\dfrac{a-b}{2}\right)}$

Here, you have a scale factor of 6 and a=3θ, b=θ. Filling in these values gives ...

$6\sin{3\theta}+6\sin{\theta}=12\sin{\left(\dfrac{3\theta+\theta}{2}\right)}\cos{\left(\dfrac{3\theta-\theta}{2}\right)}\\\\=12\sin{(2\theta)}\cos{(\theta)}$