Which of the following are identities? Check all that apply.

Mathematics

2 answers:

Harrizon [31]3 years ago

8 0

Answer:

<h2>Option B and Option D.</h2>

Step-by-step explanation:

Among the options, only B and D represent identities, they are known has pythagorean identities because they are obtained form a right triangle and its trigonometry.

All pythagorean identities are

$sin^{2}\alpha+cos^{2} \alpha =1$

$tan^{2}\alpha +1=sec^{2}\alpha$

$cot^{2} \alpha +1=csc^{2} \alpha$

If you compare only B and D represent two of these identities.

Option A and C don't represent identities because they are written wrong, if you compare with all three identities above, you will realize this.

Therefore, the right options are B and D.

lys-0071 [83]3 years ago

5 0

Answer: Option 'B' and 'D' are correct.

Step-by-step explanation:

Since we know the trigonometric identities as follows :

$\sin^2x+\cos^2 x=1\\\\\sec^2 x-\tan^2 x=1\\\\cosec^2 x-\cot^2 x=1$

According to options , we get that

$cosec^2 x=1+\cot^2 x$ satisfies the identities.

and $\sin^2x+\cos^2 x=1$ is the identity.

Hence, Option 'B' and 'D' are correct.

You might be interested in

6 times the sum of 3 consecutive odd intergers is -18

Lyrx [107]

The answer: The 3 (three) consecutive odd integers are: -3, -1, 1.
_____________________________________________
Explanation:
_______________
To represent 3 (three consecutive odd integers):
____________________________________
Let "x" be the first odd integer.
____________________________________
Let "(x+2)" be next consecutive odd integer.
____________________________________
Let "(x+4") be the third odd integer.
____________________________________
The sum of these three consecutive odd integers:
__________________________________________
x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
_________________________________________
Six ("6") times the sum of these 3 (three) consecutive odd integers =
_________________
6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
_____________________________________________
Given: 6(3x + 6) = -18 ; We can divide EACH SIDE of the equation by "6", to cancel the "6" on the left-hand side into a "1";
__________________________________________
{6(3x + 6) } / 6 = -18 / 6 ; to get:
________________________________________
3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
__________________________________
3x + 6 - 6 = -3 - 6 ; to get:
__________________________________
3x = -9 ; Now, we can divide EACH SIDE of the equation by "3"; to isolate "x" on one side of the question; and solve for "x" ;
___________________________________
3x / 3 = -9 / 3 ; x = - 3 ;
_____________________
Remember, from above:
__________________________
Let "x" be the first odd integer. We know that "x = -3".
Is this an odd integer? Yes!
____________________________________
Let "(x+2)" be next consecutive odd integer. So (x+2) = (-3+2) = -1.
Is this an odd integer? Yes! Is this "{-1}" the next consecutive odd integer with respect to "{-3}"? Yes!
____________________________________
Let "(x+4") be the third odd integer. So (x+4) = (-3+4) = 1.
Is this an odd integer? Yes! Is this "{1"} the next consecutive odd integer with respect to "{-1}"? Yes!
___________________________
So, our 3 (three) consecutive odd integers are: -3, -1, 1.
___________________________
To check our work: Is 6 times the sum of our 3 consecutive odd integers, equal to "(-18)" ?

The sum of our 3 consecutive odd integers = -3 + (-1) + 1 = -3 - 1 + 1 = -3.

6 * -3 = ? -18? Yes!
___________________________

3 0

3 years ago

If the figure shown on the grid below is dilated by a scale factor of

shepuryov [24]

The coordinate of point N after the dilation is N' = (-8/3, 8/3)

<h3>Dilation of coordinates</h3>

Dilation is a transformation technique for changing the size of an object using a scale factor.

Given the coordinate of N from the figure as (-4, 4). If this coordinate point is dilated by a factor of 2/3, then the resulting coordinate will be:

N' = (2/3(-4), 2/3(4))

N' = (-8/3, 8/3)

Hence the coordinate of point N after the dilation is N' = (-8/3, 8/3)

Learn more on scale factor here: brainly.com/question/10253650