All categories

3 years ago

Simplify the expression: sinx+cosx/sinxcosx

Mathematics

1 answer:

Keith_Richards [23]3 years ago

6 0

Sin x + $\frac{cos x}{sinx cosx}$
= sinx + $\frac{1}{sin x}$
= $sin^{2}x$ +1
= $cos^{2} x$

You might be interested in

SOMEONE PLSSSS HELP!!! Explain the difference in the graphs of Car #1 and Car #2. What is the Slope of each? Why is one line ste

dusya [7]

Answer:

Car 1 slope = 35

Car 2 slope = 40

Red line(car 2) is steeper than the blue line(car 1)

slope is miles per gallon

Step-by-step explanation:

Slope formula is

$slope = \frac{y_2-y_1}{x_2-x_1}$

To find slope, pick two points from graph of Car 1

(4,140) (6,210)

$slope Car1= \frac{210-140}{6-4}$ = 35

To find slope, pick two points from graph of Car 2

(3,120) (5,200)

$slope Car 2= \frac{200-120}{5-3}$ = 40

When slope is larger then line is steeper

slope of Car 2 is greater than slope of Car1

So Red line is steeper than the blue line.

Slope is change is y over change in x

It means Change in miles over change in gallons

So slope is miles per gallon

3 0

3 years ago

Find which term in the geometric sequence 1,3,9,27,... is the first to exceed 7,000.

Zielflug [23.3K]

The common ratio between terms is 3, so the sequence has general $n$ -th term

$a_n=3^{n-1}$

for $n\ge1$ . The term exceeds 7000 when

$3^{n-1}>7000\implies n-1>\log_37000\implies n>1+\log_37000\approx9.06$

which means the first time $a_n$ exceeds 7000 occurs when $n=10$ . Indeed,

$a_{10}=3^{10-1}=19,683$

while the previous term would have been

$a_9=3^{9-1}=6561$

8 0

3 years ago

What is the number six million, thirty thousand, expressed in scientific notation?

irina1246 [14]

six million, thirty thousand <span>6, 030, 000 expressed in scientific notation
</span>

<span>6.03×10^6.</span>

4 0

3 years ago

Identify the expression as a numerical expressionor a variable expression. For a variable expression, name the variable.

Karolina [17]

Answer:

Numerical expression

Step-by-step explanation:

This is a numerical expression since there is no unknown value. Both values being multiplied are numbers.

8 0

3 years ago

Which measurement is most accurate to describe the amount of water a teaspoon could hold?

dybincka [34]

Your answer is A.) 5mL

7 0

2 years ago