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3 years ago

15

Tan(x)/sec(x)=sin(x)

1 answer:

Harlamova29_29 [7]3 years ago

5 0

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

tan(x)/sec(x) = sin(x)

Hint: | Eliminate the denominator on the left hand side.

Multiply both sides by sec(x):

tan(x) = ^?sec(x) sin(x)

Hint: | Express both sides in terms of sine and cosine.

Write secant as 1/cosine and tangent as sine/cosine:

sin(x)/cos(x) = ^?1/cos(x) sin(x)

Hint: | Come to a conclusion.

The left hand side and right hand side are identical:

Answer: (identity has been verified)

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A system of equations is graphed on a

Ira Lisetskai [31]

Answer:

(1, 4)

Step-by-step explanation:

$\text{It looks as if "they" are asking you to solve the problem graphically.}\\\text{Then, you must solve each equation for y, plot a few points for each graph,}\\ \text{and see where each graph intersects. }$

$\begin{array}{rcl}(1) & 2x + 3y = 12 & \\& 3y = 12 - 2x& \text{Subtracted 2x from each side}\\ & y = 4 - \dfrac{2}{3}x & \text{Divided each side by3}\\\\(2) & 4x + 2y =10& \\& 2y = 10 - 4x& \text{Subtracted 2x from each side}\\ & y = 5 - 2x & \text{Divided each side by 2}\\\end{array}\\$

Below are a few points for Equations (1) and (2).}

$\begin{array}{cc|cc}\mathbf{x} & \mathbf{y} & \mathbf{x} & \mathbf{y}\\0 & 4 & 0 & 5\\& & 1 & 3\\& & 2 & 1\\3 & 2 & &\\6 & 0 & &\\\end{array}\\$

Equation (1) is the blue line in the graph below.

Equation (2) is the red line.

The two lines cross at the black dot

Your four points are labelled . The one that is closest to the intersection is (1, 4).

The approximate solution to the system of equations is (1, 4).

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3 years ago

What does 6 - x = 9??

vovikov84 [41]

Answer:

i think 48 sorry if im wrong

Step-by-step explanation:

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2 years ago

Which of the following are mutually exclusive events?

Alexandra [31]

Answer: A

Step-by-step explanation: Ape x

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2 years ago

Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?. .

Andru [333]

Let

n-------> the number of nickels

q------> the number of quarters

we know that

$1\ quarter=\$0.25\\1\ nickel=\$0.05$

so

$0.05n+0.25q=1.60$ ----> equation A

$q=3n$ ----> equation B

substitute equation B in equation A

$0.05n+0.25[3n]=1.60$

$0.05n+0.75n=1.60$

$0.80n=1.60$

$n=2$

Find the value of q

$q=3*2=6$

therefore

<u>The answer part a) is</u>

the number of nickels are $2$ and the number of quarters are $6$

<u>the answer Part b) is</u>

The expressions that represents the number of quarters is

$q=3n$

5 0

3 years ago

Read 2 more answers

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Butoxors [25]

Answer:

A

Step-by-step explanation:

Because 2 is greater than 3

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2 years ago