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lina2011 [118]
3 years ago
13

PLEASE HELP ASAP!!

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Step-by-step explanation:

e = 20sin(πt/4 - π/2)

= 20[(sinπt/4)(cosπ/2) - (cosπt/4)(sinπ/2)]

Used sin(x - y) = sinxcosy - cosxsiny.

= 20[0 - cosπt/4]

Since cosπ/2 = 0 and sinπ/2 = 1.

= -20cosπt/4.

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I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on
lisov135 [29]

Hi there!

<u>What we need to know:</u>

The three main trigonometric ratios are sine, cosine and tangent:

\displaystyle sin\theta=\frac{opposite}{hypotenuse}     \displaystyle cos\theta=\frac{adjacent}{hypotenuse}    \displaystyle tan\theta=\frac{opposite}{adjacent}

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

<u>First question</u>

For the first question, we're given the angle with a measure of 56 degrees and the length of the <em>hypotenuse</em>. We must calculate <em>a</em>, which represents the side <em>adjacent </em>to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

\displaystyle cos\theta=\frac{adjacent}{hypotenuse}

Plug in the given information:

\displaystyle cos56=\frac{a}{13}

Isolate <em>a</em> by multiplying both sides by 13:

13\displaystyle cos56=a

Solve using a calculator:

a=7.3

Therefore, <em>a</em> is equal to 7.3 when rounded to 1 decimal place.

<u>Other information you will need to know:</u>

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

\displaystyle sin\theta=\frac{5}{8}

In this case, we will use the inverse sine ratio:

\displaystyle \theta=sin^-^1(\frac{5}{8})

Solve using a calculator:

\displaystyle \theta=39

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

3 0
2 years ago
Choose the property used to rewrite the expression. log618-log66 = log63.a) Commutative Propertyb) Product Propertyc) Power Prop
n200080 [17]

Answer:

Option d) is correct

ie, quotient property

Step-by-step explanation:

Given expression is log 618-log 66=log 63

Now we take log 618-log 66

log 618-log 66 = log \frac{618}{66} [By using quotient property, log\frac{x}{y}=\log x- \log y]

= log 63

Therefore log 618- log 66= log 63

Option d) is correct

In the given expression we are using the quotient property

3 0
3 years ago
Can someone please help me out with this?
pshichka [43]

Answer:

B. segment AG is congruent to segment OL

Step-by-step explanation:

5 0
3 years ago
James is framing a rectangular print for art class and needs to know the perimeter. The length of the print is 24 inches and the
ollegr [7]

Answer:

84

Step-by-step explanation:

Given,

Length of the print(l) = 24 inches

Width of the print(b) = 18 inches

Perimeter of the print(P)= ?

We know,

Perimeter of the print(P) = 2(l + b)

= 2(24 + 18)

= 2(42)

=84 inches^2

5 0
2 years ago
How many kilometer make a meter
Nataliya [291]
0.001 is equal to 1 meter
4 0
3 years ago
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