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ELEN [110]
2 years ago
9

Complete the identity. cos (alpha - beta)/cos alpha cos beta = ?

Mathematics
2 answers:
Zepler [3.9K]2 years ago
5 0
\frac{cos(a-b)}{cos(a)cos(b)} =  \frac{cos(a)cos(b)+sin(a)sin(b)}{cos(a)cos(b)} = 1+ \frac{sin(a)sin(b)}{cos(a)cos(b)} =1+tan(a)tan(b)

Note that I used these identities :cos(a-b)=cos(a)cos(b)+sin(a)sin(b) and  tan(a)= \frac{sin(a)}{cos(a)}
MrRa [10]2 years ago
3 0
I belive the answer to be b
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Help! Use trigonometric ratios to determine whether or not it is possible to construct triangle ABC if b = 3, c = 5, and B = 45°
elena-s [515]
No its not posible because the sine is 1.5 and it cant be higher then 1
7 0
2 years ago
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Convert the map scale to a unit rate. How many inches represent one mile? Show your work. Interpret the meaning of the unit rate
Veronika [31]
Verbal model: mile/inch=mile/inch

Proportion: 7/8÷3/10=x/1

Solve= 7/8*10/3=x/1

70/24=x/1

70=24x

x=35/12

The unit rate must be \frac{35}{12} miles/ inch
7 0
3 years ago
ANSWER ASAP David, Egil and Frances share money in the ratio 2:7:9. Explain why Frances will always get half of any money they s
8090 [49]

Answer: 80$

Step-by-step explanation:

Step-by-step explanation:

We have been given that David, Egil and Frances share money in the ratio 2:7:9.

Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.  

We are told that Frances gets $80 more than David. So we can write this information in an equation as:

9x=2x+80

Now let us solve for x.

9x-2x=80

7x=80

x=\frac{80}{7}

Now let us substitute x=\frac{80}{7} in 7x (amount of money that Egil gets).

\text{ Amount of money that Egil will get}=7\cdot \frac{80}{7}

Upon cancelling out 7 from numerator and denominator we will get,

\text{ Amount of money that Egil will get}=80  

Therefore, Egil will get $80.    

3 0
3 years ago
Eileen plant a tree that is 2 meters tall in her yard which of the following is equivalent to meters following is equivalent to
Grace [21]

Answer:

D

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
(15.x + 79)<br> (5x + 61)
Veronika [31]

Answer:

A) 15x +79  = z

B) 15x +79 + 5x + 61 = 180

20x + 140 = 180

20x = 40

x = 2

Then using equation A)

A) 15 * 2 + 79 = z

30 + 79 =z

z = 109

Step-by-step explanation:

8 0
2 years ago
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