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
Anton [14]
3 years ago
5

Prove the identity (sina-cosatanb)/(cosa+sinatanb) = tan (a+b)

Mathematics
1 answer:
OLga [1]3 years ago
7 0
Sina - (cosa)(tanb)/cosa + (sina)(tanb)
sina ≡ (tana)(cosa)

(tana)(cosa) - (cosa)(tanb)/cosa + (tana)(cosa)(tanb)
= cosa(tana - tanb)/cosa(1 + tanatanb)
(cosas cancel out)
= (tana - tanb)/(1 + tanatanb) ≡ tan(a-b)
You might be interested in
A Ms. Carter cut 1,874 strips of paper for a craft project she is doing with a group of students. If there are 8 students in the
Mars2501 [29]

Answer:

We are multiplying.

Step-by-step explanation:

Edge

6 0
2 years ago
Evaluate the following expression for w=4. w^-3 =
slega [8]
W^-3
(4)^-3 = 1/(4)^3
1/64.

The solution is 1/64.
6 0
3 years ago
Find the GCF of 56x3y and 28xy2
azamat
Xy is the GCF of these expressions
6 0
3 years ago
60.April would like to invest $200 in the bank for one year. Three banks all have a nominal APR of 1.5%, but compound the intere
mojhsa [17]

Answer:

$203.02

Step-by-step explanation:

Since the bank in question compounds interest continuously, the following equation should be used to determine the final balance (B) in April's account:

B= 200*e^{i*t}

Where "e" is a mathematical constant approximated as 2.7183, "i" is the interest rate (1.5%) and "t" is the investment time in years (1):

B= 200*e^{0.015*1}

B= 203.02

April's balance would be $203.02 after one year.

5 0
3 years ago
Ian is a phycologist interested in determining the proportion of algae samples from a local rivulet that belonged to a particula
pickupchik [31]

Answer: 16590

Step-by-step explanation:

The formula we use to find the sample size is given by :-

, where p = prior estimate of population proportion.

z^*= Critical z-value (Two- tailed)

E= Margin of error .

Let p be the population proportion of cyanobacteria.

Given : E = 0.01

Critical value for 99% confidence interval : z^*=2.576

If Ian does not want to rely on previous knowledge , then we assume p=0.5 because the largest standard error is at p=0.5.

Now, the required sample size = n=0.5(1-0.5)(\frac{2.576}{0.01})^2

n=0.25(257.6)^2=0.25(66357.76)=16589.44\approx16590

Required sample size = 16590

5 0
3 years ago
Other questions:
  • Fifteen years ago 57% of American families had money invested in the stock market. It is believed that this percentage has dropp
    13·1 answer
  • 2.what is three hundred sixty four thousandths in decimal form
    5·2 answers
  • A bag has 2 yellow, 7 red, and 1 green marble. What is the probability of picking a red marble, replacing it, and then picking a
    7·1 answer
  • Farenheit and centigrade temperatures are related
    9·1 answer
  • Jan Quint earns $11.00 an hour at her job and is entitled to time-and-a-half for overtime, and double time on holidays. Last wee
    7·2 answers
  • Which one is greater 27.532 or 27.523
    14·2 answers
  • 34. The amount of money in an account with continuously compounded interest is given by the formula 1
    13·1 answer
  • (13.04 LC)
    11·2 answers
  • I neeeeeeed help plz
    11·1 answer
  • What is the area in square units of the rectangle 3/4 and 2/5?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!