3 years ago

Solve the given equation.. tan θ − 3 cot θ = 0

1 answer:

3 0

Tan t(theta) - 3 cot t(theta) = 0
tan t - 3/ tan t = 0 / * tan t
tan ² t - 3 = 0
tan ² t = 3
tan t = √ 3 tan t = - √ 3
t 1 = π/3 + π k, t 2 = 5π/3 + π k, k ∈ Z

You might be interested in

A pair of jeans cost $32 last year this year they cost $38 what was the percent increase? PLEASE ANSWER NEED HELP!

garik1379 [7]

Answer:

18.75%

Step-by-step explanation:

percent increase = $\frac{increase}{original cost}$ × 100%

Increase in cost = $38 - $32 = $6

percent increase = $\frac{6}{32}$ × 100% = $\frac{6(100)}{32}$ = 18.75%

5 0

4 years ago

two bicycle riders start from the same point and ride in opposite directions. one rider is moving twice as the other. in 3 hours

Likurg_2 [28]

Step-by-step explanation:

let X = speed of slow bicycle rider

2x=speed of fast bicycle rider

3(x+2x)=72

X=8mph(slowest bicycle rider)

2x=16mph(fastest bicycle rider)

5 0

3 years ago

Gentry poured 23.5 ounces of milk and 7.75 ounces of cream in a mixing bowl.

denpristay [2]

Notice that because the capacity of the bowl is 35.5 ounces, but there has already been 31.25 ounces total added to it (23.5 ounces + 7.75 ounces), all that needs to be done is subtract 31.25 from 35.5:
35.5 - 31.25 = 4.25 ounces of cream could be added

4 0

3 years ago

How do you determine where to place the decimal point in the product?

frez [133]

Let's look at an example:

2.24 x 21.6

$2.24\\ 21.6\\ ______$

Do normal multiplication and get

48384 This is not correct, until we put the decimals in. To know how to do this, count the number of decimal spaces from the factors. In 2.24, there are 2, because .24. In 21.6 there are 1 because of .6. This mean three places, so 48384 becomes

48.384

~theLocoCoco

7 0

3 years ago

the school cafeteria served 125.6 liters of milk on Monday and 5.34 more liters of milk on Tuesday than on monday.how many total

UkoKoshka [18]

The total amount will be
total = (125.6 L) + ((125.6 +5.34) L) = (2*125.6 +5.34) L
total = 256.54 L

5 0

3 years ago