If tan A = | and tan B = Root3
evaluate
i) CosA cos B - sinA sinB
ii) sinA cosB+ cosA cosB

Answers

Answer 1

Answer:

i)

Step-by-step explanation:

Tan a = 1

Tan A = tan 45

A = 45.

Now,

Tan b = root 3

Tan b = tan 60.

B = 60.

Now ,

Cos a * cos b - sin A * sin B

= cos 45 * cos 60 - sin 45 * sin 60

= 1/root 2 * 1/2 - 1/root 2 * root 3 /2

= 1 /root 2 ( 1/2 - root 3 /2)

= 1/root 2 * 1 - root 3 /2

= 1 - root 3 / 2 root 2.


Related Questions

cot 10° . cot 20°. cot 70°. cot 80°. cot 45° = 1​

Answers

Answer:

steps below

Step-by-step explanation:

cot 10° * cot 20° * cot 70° * cot 80° * cot 45°

= (cos 10°/sin 10°)*(cos 20°/sin 20°)*(cos 70°/sin 70°)*(cos 80°/sin 80°)* (1)

= (cos 10°*cos 80°)(cos 20°*cos 70°) / (sin 10°*sin 80°)(sin 20°*sin 70°)

= (1/2*(cos60°+cos90°)*1/2(cos50°+cos90°))/(1/2*(cos60°-cos90°)*1/2(cos50°-cos90°))    ... cos90° = 0     cos60° = 1/2

= (1/8*cos50°) / (1/8*cos50°)

= 1

(x-3)(x+3)(x+2)-(x-1)(x²-3)-5x(x+4)²-(x-5)²

Answers

Answer:

-5x^3-38x^2-76x-46=0

HELPPPP PLEASEEEE will give brainliest ​

Answers

Answer:

I think it's the 3rd or fourth one. I'm not positive tho

2tanx - 3cotx + 1 = 0

Answers

Answer:

475767u5yttuyy

Step-by-step explanation:

phobrovicodibfofiffivonf

3/4 of a number 120 What is three-eights of the number? please answer no point scamming i will give you brainiest

Answers

Answer:

3/4 * 120 = 90

3/8 * 120 = 45

Step-by-step explanation:

3/4 of something is the same as multiplying by 0.75 (to do it one way.)

Or you can just divide 120 by 4, then multiply it by 3.

EDIT: I see you're asking for 3/4, then 3/8...

If it's 3/8s you want, it's 45.

Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

0.436 x 6

2.616

More info

Step-by-step explanation:

Brainliest or.. else..

What is the slope and y intercept I’m really new to this and need help

Answers

Answer:

The y intercept is -1 and the slope is 4/1

Step-by-step explanation:

When you are trying to find the y-intercept, you look at where the line crosses over the y axis. In this case it was at -1.

The slope indicates how many units it is going up/down or left/right. In this case, the distance between each point is up 4, and right 1. so the slope would be 4/1.

I hope this helps :)

Find the missing angle measures. Be sure to show your work in arriving at your answers.
Please help urgently thank you,

Answers

Answer:

k=50º

m=90º

Step-by-step explanation:

a line is 180º total

so 130+k=180

k=50

a triangle also is 180º total

so 180-40-k=m

180-40-50=m

90=m

Help me please please pleade help me!!​

Answers

Answer:

See below

Step-by-step explanation:

#3

Given function

f(x) = 2x + 3

a) Complete the table. Find the values of f(x) or y:

x = -1 ⇒ f(-1) = 2(-1) + 3 = -2 + 3 = 1x = 0 ⇒ f(0) = 2(0) + 3 = 0 + 3 = 3x = 1 ⇒ f(1) = 2(1) + 3 = 2 + 3 = 5

b) Plot the points:

(-1, 1), (0, 3), (1, 5)

c. The domain the the set of x- values. Since we connect the points, the domain covers the interval between the endpoints:

Domain: {x | -1 ≤ x ≤ 1}

#4

a) The domain is the set of x- values (first number in ordered pairs):

Domain: {x | x = -3, -2, 0, 2, 3}

The range is the set of y- values (second in pairs):

Range: {y | y = -3 , -1, 1 } (note, repeats are counted as same)

b) Graph by plotting the points:

(-3, -3), (-2, -1), (0, 1), (2, -1), 3, -3)

c) The graph is NOT linear as you don't get a straight line if you connect the points

SOMEONE HELP WITH THIS PLEASE!!

Answers

Answer:

Step-by-step explanation:

you just have to evaluate the expression and then solve it

8. Negative three times the sum of a number and two is fifteen

Answers

Answer:

-3(n + 2)= 15

Step-by-step explanation:

Based on this question, we know that the equation involves multiplication. Here we start our equation with -3!

Then it says "times the sum of a number and two" So let's just say the "number" is "n". The word "sum" means the answer to an addition problem, thus we know that we are adding "n" and 2. Let's put that in parenthesis!

-3(n+2)

And it says "is fifteen" which also means "equals to fifteen"

Therefore, the answer is:

-3(n + 2) = 15

Hope you find this useful :D

Rewrite the equation below so that it does not have fractions

2/3x-5=3/4

Answers

Answer:

Step-by-step explanation:

The best way to do this problem is to find the lowest common denominator.

2/3 : 3*2/(3*3)

3/4 : 3*3 / 3*4

Notice what you have done. You have multiplied both denominators by something that gets rid of the denominators, or will when you multiply by 4 * 3 = 12

So multiply the equation by 12

(2/3 x- 5  = 3/4 ) 12

8x - 60 = 9                                 Add 60 to both sides

8x - 60 = 9                                 Combine

8x = 69                                       Divide by 8

x = 69/8

x = 8  5/8

calculate the values of 1999.99 and 6049.44​

Answers

Answer:

8049.43

Step-by-step explanation:

1999.99 + 6049.44

PLEASE HELP IT’S DUE TMR
you only have to answer F

Answers

Answer:

1 bat : 0 hits

Step-by-step explanation:

To get this unit rate all you have to do is divide both sides by 4.

(4/4) : (0/4) = 1:0

We get the same number of hits as in the original problem because 0 divided by any number (other than 0) will always equal 0.

Can I get brainliest please?

HELP PLEASE
-8/15 x = 19/15
What is x?

Answers

Answer:

x= -19/8

Step-by-step explanation:

X means multiplication. So technically what the question is asking would basically be: -8/15 X=Multiplication = 19/15.

help please I need help

Answers

Answer:

a is 16 yards hope this helps

Step-by-step explanation:

g(-4)
if g(x)=x^2 - 4x

Answers

[tex]g(-4)[/tex]

[tex]g(x)=x^2 - 4x[/tex]

[tex]g(-4)=(-4)^2-4(-4)[/tex]

[tex]g(-4)=16-4(-4)[/tex]

[tex]g(-4)=16+16[/tex]

[tex]g(-4)=32[/tex]

Answer: g(-4) = 32

if you need help with algbrea
my googl hangouts is
hello
jazlyn
2279 g mail

Answers

Answer:

is it jazly 2279 together then g mail?

Step-by-step explanation:

the product of r and 8​

Answers

Answer:

I believe it'd be 8r.

write the exponential equation given a starting value of 7.5 and a decay rate of 7.5%

Answers

Answer:

A used car has a value of $15,250 when it is purchased in 2012. The value of the car decreases at a rate of 7.5% per year.

Write an exponential function that models the value of the car, y, over x years.

To the nearest cent, what will be the value of the car after eight years?

Step-by-step explanation:

Please help me solve this I am begging you

Answers

Answer:

Line 1

√7 is between √4 and √9   ⇒ Square root of all terms

Line 2

√7 is between 2 and 3         ⇒ Results of the square roots

Line 3

5√7 is between 10 and 15     ⇒ Multiply all terms by 5

Given the function f(3) = -2x + 5. What are three possible points?

Answers

Answer:

(3,-1)

Step-by-step explanation:

Which two numbers are 4 units from -2?

Answers

Answer:

-6 and 2

Step-by-step explanation:

look left and right on number line. count 4 places over going both ways

State the domain and range of the following function.

Answers

Answer:

Answer C

Step-by-step explanation:

seeing as how the x coordinates of the points are 2,3,4,6,7, we know that the answer must have these numbers, and only these numbers, as the domain. The only answer that has that is answer C.

The depth of water in a reservoir increases from 14m to 15.75m. Work out the percentage increase.

Answers

Answer:

It was a 12.5% water gain

Hello if you answer this question i will post another question giving 100 points

Answers

Answer:

ok?

Step-by-step explanation:

Brainliest?

Answer:

what's your question even-

180
9. What is the value of x below?
A.
B.
1362
C.
D.
→ K
g
136
90
54
t

Answers

Answer:

icifzuez8t

Step-by-step explanation:

f8x8s3w557t6jeflfrjj5xg

z4usti

jayo4i

zirstodtpd

dry

fumc

Write 3.7 as a fraction

Answers

Answer:

37/10

Step-by-step explanation:

brainliest plz

for first answering

Answer:

3 7/10

Step-by-step explanation:

️️️️️️️️️️️

Find the surface area of the square pyramid. Round your answer to the nearest hundredth.
A. 175.42
B. 176.42
C. 185.42
D. 192.42

Answers

Answer:

175.42

Step-by-step explanation:

 

surface area of square pyramid is given by:

Area= s^2 + 2(s)(l)

where s is the base and l is the slant height

in given problem, slant height l is not given, so by using Pythagoras theorem finding l:

c^2= a^2 + b^2

    =  8^2 + 4^2

    = 48.49

c     = 6.96348

Now putting values of s=8 and l= 6.96 in first formula

Area= 8^2 + 2(8)(6.96)

     =  64 + 111.41

     = 175.42

!

Amal and Ji both rent out their food
trucks. The table shows the amounts
Amal and Ji charge per hour to rent their
food trucks.

Answers

Answer:

Amal and Ji rent the same amount of per hour but Amal had a starting fee of $75

Step-by-step explanation:

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