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MAXImum [283]
2 years ago
13

I need to simplify this trigonometric expression. The answer will be given, but please help me with the process.​

Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
3 0

Answer:

Step-by-step explanation:

I've attached a pic, I used y for sin(theta) and x for cos(theta). Shows all steps. See image.

Step 1: use "factoring sum of cubes" to factor the numerator.

Step 2: in the trinomial, in the numerator, rearrange terms to use the sin^2 + cos^2 = 1 .

Step 3: cancel that factor with the denominator.

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Andrews [41]
The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040

These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.

In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72

P(5, 5) = 5 x 4 x 3 x 2 x 1 
P(7, 7) =  7 x 6 x 5 x 4 x 3 x 2 x 1
3 0
3 years ago
PLS help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Darina [25.2K]

9514 1404 393

Answer:

  y = -1

Step-by-step explanation:

Sides marked with the same marking are congruent, so we have two equations:

  • 3x -y = 16
  • 2x +y = 9

Adding the equations gives ...

  5x = 25

  x = 5 . . . . . . divide by 5

Then the second equation tells us ...

  y = 9 -2x = 9 -2(5) = -1

The value of y is -1.

5 0
2 years ago
What is the name of the segment inside a triangle
Len [333]

Answer:

altitude is the answer

6 0
3 years ago
Read 2 more answers
Find the slope based on the date below <br> x: -4, 0, 4 8<br> y: 3, 8 13 18<br> HELPPP QUICKK PLZZ
vekshin1

Answer:

The slope is \frac{5}{4}

Step-by-step explanation:

Slope of a dataset:

The slope of a dataset, having two points, is given by the change in y values divided by the change in x values

In this question:

Two points:

x = 0, y = 8

X = 4, y = 13

The slope is:

m = \frac{13 - 8}{4 - 0} = \frac{5}{4}

The slope is \frac{5}{4}

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2 years ago
Solve each equation. Check your solution.
solniwko [45]
Converting all to improper fractions
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155s = 310
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-14×2=5×-7n
-28=-35n
n =-28/-35
n=28/35
8 0
3 years ago
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