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
mihalych1998 [28]
2 years ago
7

Review the steps of the proof of the identity

Mathematics
1 answer:
astraxan [27]2 years ago
4 0

Answer:

step 2

and then step 3 : the error neutralized the error of step 2

Step-by-step explanation:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

and because

sin(-b) = -sin(b)

cos(-b) = cos(b)

we have

sin(a - b) = sin(a)cos(-b) + cos(a)sin(-b) =

= sin(a)cos(b) - cos(a)sin(b)

3pi/2 = 270° or -90°.

sin(3pi/2) = sin(270) = sin(-90) = -1

that means, it is the full radius straight down from the center of the circle.

cos(3pi/2) = cos(270) = cos(-90) = cos(90) = 0

so, step 1 is correct :

sin(A - 3pi/2) = sin(A)cos(3pi/2) - cos(A)sin(3pi/2) =

= sin(A)×0 - cos(A)×(-1) (correct step 2)

but as we see, the provided step 2 is incorrect.

it should have been the indicated

sin(A)×0 - cos(A)×(-1)

and NOT the provided

sin(A)×0 + cos(A)×(-1)

step 3 based on the erroneous step 2 should then have been

sin(A)×0 - (1)cos(A)

but instead another error with the sign was made that neutralized the error of step 2 and we got after this second mistake by pure chance the overall correct step 3

sin(A)×0 + (1)cos(A)

so, again, the first error was made in step 2.

but technically, there was also a consecutive error made in step 3 to bring everything back to the correct approach.

You might be interested in
Write two expressions that are equivalent to the expression below. (9- c) +(9 -c)+(9- c) +(9- c)
GREYUIT [131]

Answer:

{ \tt{4(9 - c)}} \\ and \\ { \tt{36 - 4c}} \\  \\ { \underline{ \blue{ \tt{becker \: jnr}}}}

4 0
3 years ago
Read 2 more answers
If the circumference of a basketball is 29.5 inches, how many centimeters is the circumferenceof a basketball? Round your answer
Solnce55 [7]

Answer:

75 cm

Step-by-step explanation:

Every inch is 2.54 cm, so 29.5 in=74.93 cm. 74.93 rounded to the nearest whole is 75cm.

3 0
3 years ago
Read 2 more answers
PLEASE HELP ME FIND THE ANSWER!!!
PtichkaEL [24]
5.5x2 (per m) = 11 I’m pretty sure
5 0
2 years ago
Read 2 more answers
The average of five distinct scores has the same value as the median of the five scores. The sum of the five scores is 420. What
givi [52]

Answer:

The sum of five scores that is not the median is, 336

Step-by-step explanation:

Average defined as the  the sum of the observation to the total number of the observation.

Given: The sum of the five scores is 420

Then, by definition of average;

Average of five distinct score = \frac{420}{5} = 84

It is also, given that the average of five distinct scores has the same value as the median of the five scores.

⇒Median of five scores = 84

Since, scores are distinct, therefore

Sum of all scores that is not the median = Sum of five scores - median = 420-84 = 336

therefore, the sum of five scores that is not the median is, 336

3 0
3 years ago
Simplify the expression 6h +(-7.1d) – 17 + 4d – 2.4h
Alexxx [7]

Answer:

11.1d + 3.2h - 15

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • the weight of 100 identical samples of a substance is 0.01 pounds. what is the weight of 10000 samples?
    9·1 answer
  • A triangle has an area of 10 units 2 square
    9·1 answer
  • A drawer contains 22 brown socks and 22 black socks, all unmatched. A man takes socks out at random in the dark. What is the lea
    15·1 answer
  • Select the compound inequality shown on the graph.
    8·1 answer
  • 42 less than the product of 28 and an unknown number is 154 what is the value of the unknown number
    15·2 answers
  • 2x + 46 + 3x - 6<br> I forgot how to do math
    6·2 answers
  • Jason purchased 3 popcorns and 2 soft drinks for a total of $15.50.
    9·1 answer
  • A theater has three eight four seats each row has 16 seats how many rows of seats are there
    5·2 answers
  • To the tenth place, what is the greatest number that rounds to 3
    10·2 answers
  • Which two integers have a sum of 11 and a product of - 12 ?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!