1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vazorg [7]
3 years ago
12

Find all solutions of the equation in the interval [0,2pi)

Mathematics
1 answer:
irinina [24]3 years ago
4 0

Answer:

{π/4, 5π/4}

Step-by-step explanation:

Tan theta -1=0 could be rewritten as tan Ф = 1.  The tangent function is 1 at Ф = π/4.  As the period of the tangent function is π,

tan Ф = 1 will be true for Ф = π/4 + π, or (5/4)π.

The solution set is {π/4, 5π/4}.

You might be interested in
omar tariq has a credit card that uses the unpaid balance method to compute the finance charge. His monthly periodic rate is 2.4
Korvikt [17]

Answer:

(a) unpaid balance = $667.95

(b) Previous balance = $761.67

(c) his new balance = $683.98

Step-by-step explanation:

In the question, we are given the following:

Monthly periodic rate = 2.4%, or 0.024

Curren charges = $256.28

Total payment made = $350

Finance charge = $18.28

Therefore, we now proceed as follows:

(a) unpaid balance

This can be calculated as follows:

Unpaid balance = Previous balance + Current charges - Total payment made ................. (1)

Note that from part (b), Previous balance is equal to $761.67.

Substituting this and other values from the question into equation (1), we have:

Unpaid balance = $761.67 + $256.28 - $350 = $667.95

(b) Previous balance

This can be calculated as follows:

Previous balance = Finance charges / Monthly periodic rate = $18.28 / 2.4% = $18.28 / 0.024 = $761.67

(c) his new balance

This can be calculated as follows:

New balance = Unpaid balance * (1 + Monthly periodic rate) = $667.95 * (1 + 2.4%) = $667.95 * (1 + 0.024) = $667.95 * 1.024 = $683.98

7 0
3 years ago
The class voted on a reward. Those that voted to watch a movie out numbered those that voted for extra recess by a ratio of 6 to
Naddik [55]

Answer:

6

Step-by-step explanation:

6x(3)=18    (3)x2= 6

     |_____|

3 0
3 years ago
Nancy is buying a new pair of boots. The store is having a sale and all boots are 20% off.
Strike441 [17]
Can you please complete your question?
5 0
3 years ago
How do I plot a decimal on a coordinate plane?
galina1969 [7]

Answer:

To plot a decimal on a coordinate plane you plot it between the two whole numbers its close to.

Step-by-step explanation:

3 0
3 years ago
-------
Tomtit [17]

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

Step-by-step explanation:

Step 1 :

The fixed charges for the pick up = $3

Charges per mile = $1.50

Let s denote the total miles driven and t be the total cost for the trip

This can be represented by the equation

t = 3 + 1.5s

Step 2:

Distance traveled by Jonathan in his trip = 10 miles

So cost for riding 10 miles is

t = 3 + 1.5(10) = 3 + 15 = $18

The cost for 10 mile taxi ride is $18

Step 3 :

If the distance traveled is m miles, then substituting s = m in the above equation we get the cost as 1.5 m + 3

Step 4 :

Answer :

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

3 0
3 years ago
Other questions:
  • M(8, 5) is the midpoint of JK. The coordinates of point J are (5, −6) . What are the coordinates of point K? Enter your answer i
    15·2 answers
  • Six multiplication problems involved in solving 325 x 89
    14·1 answer
  • You invest $720 in an account that has an annual interest rate of 6.2%, compounded semiannually. How much money will be in the a
    13·1 answer
  • Mr. Nguyen bought a package of 3 chicken legs and a package of 7 chicken wings. Ms. Dawes bought a package of 3 chicken legs and
    12·2 answers
  • A bookstore had 48 copies of a magazine. yesterday it sold 2/3 of them
    9·1 answer
  • Are these both functions?
    10·1 answer
  • HELP ME PLEASE!!!!!!!!!!!!!!!! You have to figure out whether its undefined or zero
    8·2 answers
  • Someone please helppp
    12·1 answer
  • Jina worked 37 hours last month and earned 59 per hour. She spent $15 of her earnings since then. How much money does she have l
    15·1 answer
  • You're learning yoga in a fitness center which charges a $200 registration fee plus $12 per lesson. If an equation is made to
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!