answer.
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
lisov135 [29]
1 year ago
11

___ cosb =1/2 sin(a+b)+sin(a-b)?

Mathematics
2 answers:
vodomira [7]1 year ago
8 0

Answer:

That would be sina.

Step-by-step explanation:

sin(a+b) = sinacosb + cosasinb

sin(a-b) = sinacosb -  cosasinb

Adding we get  sin(a+b) + sin(a-b) = 2sinaccosb

so sinacosb = 1/2sin(a+b) + sin(a-b)

dem82 [27]1 year ago
6 0

Answer:

sina

Step-by-step explanation:

We have

          sin(a+b) = sina cosb + cosa sinb ---------------------eqn 1

           sin(a-b) = sina cosb - cosa sinb ---------------------eqn 2

eqn 1 + eqn 2

          sin(a+b) + sin(a-b) = sina cosb + cosa sinb + sina cosb - cosa sinb

          sin(a+b) + sin(a-b) = 2sina cosb

          sina\times cosb =\frac{1}{2}(sin(a+b) + sin(a-b))

So answer is sina

You might be interested in
A sociologist studying the difference in ages between husbands and wives obtained a random sample of 55 married couples. The mea
zalisa [80]

Answer:

2.1/√55

Step-by-step explanation:

simga divided by sample size

8 0
2 years ago
1. A person owns a collection of 30 CDs, of which 5 are country music. If 2 CDs are selected at
OverLord2011 [107]

Answer:

Step-by-step explanation:

Sunflower can u please come answer my question next it says

HELP ASAP WILL GIVE BRAINLIEST PLEASE IM DESPERATE!!!!!!!

5 0
1 year ago
Read 2 more answers
Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is
Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

(x^2-12x+35)(x^2+10x+24)=504

We have to find the sum of positive roots of the equation.

x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504

x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504

x^4-2x^3-61x^2+62x+840-504=0

x^4-2x^3-61x^2+62x+336=0

Factor of 336

2,3,4,6,8,7,

Let x=2

2^4-2^4-61(2^2)+62(2)+336\neq0

x=2 is not the root of equation

x=-2

(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

3^4-2(3^3)-61(3^2)+62(3)+336=0

Therefore, x=3  is the root of equation.

(x+2)(x-3)(x^2-x-56)=0

(x+2)(x-3)(x^2-8x+7x-56)=0

(x+2)(x-3)(x(x-8)+7(x-8))=0

(x+2)(x-3)(x-8)(x+7)=0

x-8=0\implies x=8

x+7=0\implies x=-7

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

4 0
1 year ago
Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and
scoundrel [369]

Answer:

The correct answer is the last option, that is, 112 + 25m + 45 = 50 + 60m

Step-by-step explanation:

We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 112+45+25m

We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 50 + 60m

In order for amount of money to be equal in accounts of both the runners, we set up:

112+45+25m=50+60m

Upon rewriting the left hand side using commutative law, we get:

112+25m+45=50+60m

Therefore, we can see that the last option is the correct answer.

7 0
2 years ago
Read 2 more answers
Riley and Jace work at a dry cleaners ironing shirts. Riley can iron 25 shirts per hour, and Jace can iron 30 shirts per hour. R
oee [108]

Answer:

  • 25r +30j = 460
  • r - j = 3

Step-by-step explanation:

Let r and j represent Riley's hours and Jace's hours, respectively. The equations could be ...

  25r +30j = 460

  r - j = 3

__

The solution is (r, j) = (10, 7).

5 0
1 year ago
Other questions:
  • what is the first step when rewriting y = 3x2 9x – 18 in the form y = a(x – h)2 k? 3 must be factored from 3x2 9x x must be fact
    12·2 answers
  • Make b the subject of the formula: <br><br> S=ab-bc
    14·2 answers
  • Explain how to draw a trend line for a scatterplot using the divide-center of data method.
    10·2 answers
  • The fifth-grade classes at Brookfield School used five identical buses to go on a field trip. •There were a total of 40 seats on
    12·1 answer
  • At Northwest Highschool, there are 1472 students in the junior class and 1012 students in the senior class. To let the juniors w
    11·1 answer
  • Jeremy rides a Ferris wheel. The graph shows h, Jeremy’s height above the ground at any time during the ride. Which inequality r
    13·2 answers
  • Show that A(t)=300−250e0.2−0.02t satisfies the differential equation ⅆAⅆt=6−0.02A with initial condition A(10)=50 .
    10·1 answer
  • Select the correct answer. Mark, Chase, and Beatrice are running a 100-meter race. Which list represents the sample space of all
    6·2 answers
  • Two water tanks release water at the same time. • Water tank A holds 6,000 gallons of water and water is released from this tank
    12·2 answers
  • Which graph shows a proportional relationship between the number of hours of renting a canoe and the total amount spent to rent
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!