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raketka [301]
3 years ago
14

How do I verify #15 using fundamental trig identities?

Mathematics
1 answer:
expeople1 [14]3 years ago
7 0

We start with the more complicated side which is the left side, and show that, on using some trigonometric identities, we will get the term on the right side .

\frac{sin \theta + tan \theta}{1+cos \theta}

Using Quotient identity for tangent function, we will get

\frac{sin \theta+ \frac{sin \theta}{cos \theta}}{1+cos \theta}

\frac{sin \theta cos \theta + sin \theta}{cos \theta(1+cos \theta)}

Taking out sine function from the numerator

=\frac{sin \theta(1+cos \theta)}{cos \theta(1+cos \theta)}

Cancelling the common term of numerator and denominator

=\frac{sin \theta}{cos \theta} = tan \theta

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Product in standard form (explain)<br> (3+6i)(4+9i)
ololo11 [35]
First you have to factor (aka, multiply) your binomial (which is what you have written) usually it helps to organize your thinking, and help tell what you need to multiply, to use the binomial chicken(or crab claw, what ever you want to call it) which basically you draw two arches, one arch connecting the 3 and 4, and then the other the 3 and 9i. on the opposite side (depending on wheater you connected then from the top or bottom) you connect (with an arch) the 6i and the four, and then the 6i to the 9i.

so now you multiply each piece you've connected:
3 x 4= 12
3 x 9i= 27i 
6i x 4= 24i
6i x 9i= 54i^2 

after  you've done this you can move on to  putting it into standard form, which just means you put things in descending order, depending on how many exponents the x (or in this case i) has.
your largest exponent is 54i^2, so that's first in out equation, next 27i, and 24i (you can combine these because they are like term) which equals 51i, after that you just add the 12 on the end, so the final equation looks like this:

54i^2+51i+12


4 0
3 years ago
The following frequency table summarizes last week's bed sales at Cloud Nine Furniture.
Masteriza [31]

Answer:

Option A. 0.20

Step-by-step explanation:

Observations from the given frequency table are :

Total number of beds sold at Cloud Nine Furniture = 3 + 6 + 4 + 2

                                                                                     = 15

Number of twin beds sold = 3

Then, probability that the next bed sold will be a twin bed,

P=\frac{\text{favorable outcome}}{\text{total number of possible outcomes}}

  =\frac{3}{15}

  = 0.20

Therefore, the probability that the next bed sold is a twin bed will be 0.20 or 20%.

Option A. is the correct answer.

5 0
3 years ago
Read 2 more answers
What is the sum of the geometric series in which a1 = −5, r = 3, and an = −405?
xxMikexx [17]
a_1=-5;\ r=3;\ a_n=-405\\\\a_n=a_1r^{n-1}\\\\subtitute\\\\-5\cdot3^{n-1}=-405\ \ \ |divide\ both\ sides\ by\ (-5)\\\\3^{n-1}=81\\\\3^{n-1}=3^4\iff n-1=4\to n=5\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\S_5=\dfrac{-5(1-3^5)}{1-3}=\dfrac{-5(1-243)}{-2}=\dfrac{5\cdot(-242)}{2}=5\cdot(-121)=-605\\\\\\Answer:\boxed{S_5=-605}
4 0
3 years ago
What is -1/2(-4/5) multiplied then in simplest form?
olchik [2.2K]
-1/2(-4/5)

Multiply the numerators by each other and do the same for the denominators.
That is:
-1(-4)=4
And 2*5=10

Now we have 4/10
Divide the numerator and the denominator by 2 to get 2/5 which is the simplest form.

Hope this helped.
8 0
3 years ago
Alex scored 13 points in the basketball game this was 1/5 of the total points the team scored write and solve an equation to det
ziro4ka [17]
1/5x=13 (5)1/5x=13(5) X=65
4 0
3 years ago
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