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
mylen [45]
2 years ago
8

If tan A = 4/3 and sin B = 45/53 and angles A and B are in Quadrant I, find the value of tan(A+B)

Mathematics
1 answer:
lbvjy [14]2 years ago
3 0

Answer:

First, find tan A and tan B.

cosA=35 --> sin2A=1−925=1625 --> cosA=±45

cosA=45 because A is in Quadrant I

tanA=sinAcosA=(45)(53)=43.

sinB=513 --> cos2B=1−25169=144169 --> sinB=±1213.

sinB=1213 because B is in Quadrant I

tanB=sinBcosB=(513)(1312)=512

Apply the trig identity:

tan(A−B)=tanA−tanB1−tanA.tanB

tanA−tanB=43−512=1112

(1−tanA.tanB)=1−2036=1636=49

tan(A−B)=(1112)(94)=3316

kamina op bolte

✌ ✌ ✌ ✌

You might be interested in
Step-by-step to reduce the radical of the square root Of 160
notka56 [123]

Answer:

4\sqrt{10}

Step-by-step explanation:

\sqrt{160}

\sqrt{16 * 10}

4\sqrt{10}

because 16 is a perfect square root and it splits into 4 * 4 while 10 isnt a perfect square root so it stays inside.

8 0
2 years ago
Read 2 more answers
Let f(x) = x - 3 and g(x) = x + 11 find f(x) times g(x)<br><br> What is the answer?
notsponge [240]

f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33

Sorry if its wrong :(

6 0
3 years ago
Janine is packing carrots. Each large box holds 20 2-pound bags of carrots. If janine has 800 bags of carrots, how many boxes ca
grigory [225]
This is a division problem: 

Each box holds 20 bags.

800 bags / 20 bags per box = # of boxes 

40 boxes are needed. 
5 0
3 years ago
Read 2 more answers
Find the value of x. If​ necessary, write your answer in the simplest radical form.
Paul [167]

Answer:

x = 4\sqrt{5}

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 1² = 9²

x² + 1 = 81 ( subtract 1 from both sides )

x² = 80 ( take square root of both sides )

x = \sqrt{80} = \sqrt{16(5)} = \sqrt{16} × \sqrt{5} = 4\sqrt{5}

3 0
2 years ago
Read 2 more answers
From 1960 to 1980 , the consumer price index (cpi) increased from 29.6 to 82.4. If a frozen chicken pie cost $0.28 in 1960 and t
mojhsa [17]

CPI in 1960 = 29.6

CPI in 1980 = 82.4

Growth (%) in CPI = \frac{\text{CPI in 1980 - CPI in 1960}}{\text{CPI in 1960}} × 100

⇒ Growth (%) in CPI = \frac{82.4-29.6}{29.6} × 100

⇒ Growth (%) in CPI = 178.3783.. %

⇒ Growth (%) in CPI = 178.4%

Now, we know that price of frozen chicken pie in 1960 = $0.28

Also, we know that over 1960 to 1980, frozen chicken pie price grew at the same rate as CPI

Hence, Price of Chicken Pie in 1980 = Price of Chicken Pie in 1960 × (1 + Growth in CPI)

⇒ Price of Chicken Pie in 1980 = 0.28 × (1 + 178.4%)

⇒ Price of Chicken Pie in 1980 = 0.28 + (0.28 × 178.4%)

⇒ Price of Chicken Pie in 1980 = 0.28 + 0.49952

⇒ Price of Chicken Pie in 1980 = 0.28 + 0.50

⇒ Price of Chicken Pie in 1980 = $0.78

Hence, price of chicken pie in 1980 would be ~$0.78

8 0
3 years ago
Read 2 more answers
Other questions:
  • How do you write an equation to represent a real-world situation?
    11·1 answer
  • 1 pts
    14·1 answer
  • Vertical angles are congruent. Two nonadjacent angles formed by two intersecting lines are vertical angles.
    8·2 answers
  • Solve for x<br> HELP ASAP <br> 20 points
    7·1 answer
  • A climbing structure needs to be built in the shape of a square-based pyramid. Look at the diagram below. What is the perimeter
    12·1 answer
  • Which graph shows a system with an infinite number of solutions?
    14·2 answers
  • what is the volume of the prism given that each cube is defined by the fractional edge length of 1/3 inch
    14·1 answer
  • 3) A skier traveled downhill at a rate of 12 feet per second. If he started at an elevation of 1,200 feet, what is his elevation
    8·2 answers
  • Please help me!! asap!!
    14·2 answers
  • Twenty-seven minus 3/2 of a number (x) is not more than 36. What is the number?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!