Question

Sin (B-A) is equal to _____,when B= 270 degress and A is an acute angle.

Answer 1

i thought it is 90 degree but its not because of acute angle

Answer 2

This an odd question, but in short if A is acute then
\[0 \leq A < 90\]
and hence
B-A is between 180 and 270 degrees. In which case sin(B-A) is a negative number.

Answer 3

IF the answer is negative the answer is -90 degree?

Answer 4

No, look at the direction of logical deduction in the statement:
"Sin (B-A) is equal to _____,when B= 270 degress and A is an acute angle."

That is
"If B= 270 degress and A is an acute angle, then Sin (B-A) is equal to _____"

Answer 5

89 degree?

Answer 6

"If B= 270 degress and A is an acute angle, then Sin (B-A) is equal to A NEGATIVE NUMBER."

Answer 7

because of acute angle i confuse....acute angle is less than 90 degree but b-a is a negative number...

Answer 8

False.
If A is between 0 and 90
and B = 270,
then B - A is not negative

Instead, B - A is between 180 and 270

Answer 9

Draw a diagram in the plane with a unit circle and see where B-A is. It is an angle that always lies in the 3rd quadrant.

Answer 10

aha 180 degree?

Answer 11

What question are you answering with "180 degrees"? I have already given you the answer to the question you posed at the beginning.

What are you not understanding? I really think you should draw the diagram and see where the angle B-A is. It is in general an angle in the 3rd quadrant, but it is not one number. It is infinitely many angles, all of which lie in the third quadrant.

Answer 12

So what are examples of B - A on the diagram you just attached?

Answer 13

my prof not teach us that before im sorry i just do this for my project but i will i see a lot of degree in there between 90 degree and 270 degree

Answer 14

In the third quadrant only there is a range of 90 degrees: between 180 and 270 degrees.

We are ONLY in the third quadrant because A is an acute angle. Hence A is between 0 and 90 degrees.

Hence for B = 270 degrees,
B - A is between 180 and 270 degrees.

Answer 15

i see a acute angle in the diagram 60 degree.. =210

Answer 16

For instance, yes.

Answer 17

what yes im correct?

Answer 18

210 is an example of an angle B - A when B = 270 and A is acute.

Answer 19

and sin(210) is a negative number.

Answer 20

In fact sin(270-A) is negative for all acute angles A.

Answer 21

i hate my professor y did he ask for a project like this with 13 question to go then pass tomorrrow then i feel like im home study i never learn from him

Answer 22

So what is the answer to the question:
Sin (B-A) is equal to _____,when B= 270 degress and A is an acute angle

Answer 23

-0.5?

Answer 24

omg. You're not following me at all.

Let's go through this again.

Answer 25

If A is acute it is ANY angle between 0 and 90 degrees. Agreed?

Answer 26

yes 2x

Answer 27

For example
A = 30 degrees
or
A = 45 degrees
or
A = 60 degrees
or
A= 89.99 degrees
or
A = 1 degree
or
A = 25.666858458857564648696745 degrees

Answer 28

In every case, when A is between 0 and 90 degrees,
270 - A is an angle between 180 and 270 degrees

Answer 29

and that is the most general thing we can say about that angle.

Answer 30

When B = 270 degrees and A is acute,
B-A
can be ANY angle whatsoever between 180 and 270

Answer 31

That is, B - A is an arbitrary angle in the third quadrant.

Answer 32

So far, so good?

Answer 33

i confuse because the answer is negative u said 270-A is an angle between 180 and 270 degrees so far so good the answer is =-210........

Answer 34

Wait.

Answer 35

What do we know about the sin of an angle between 180 and 270 degrees?

Answer 36

What do we know about the sin of an angle in the third quadrant?

Answer 37

It is always negative.

Answer 38

yes i see in the picture there all negative

Answer 39

Hence sin(B-A) is negative when B = 270 and A is acute.

Answer 40

Therefore the answer to the question:
"Sin (B-A) is equal to _____,when B= 270 degress and A is an acute angle"

is
Sin (B-A) is equal to A NEGATIVE NUMBER,when B= 270 degress and A is an acute angle

Answer 41

now i know my weakness i cant explain but i know the answer

Answer 42

sir i have 13 question to go i answer the others but no.13 -15 can u answer TT my head is aching i have 2 hours left to arrange my project TT

Answer 43

no, I have to go.
Do yourself a favor and go back over this problem and make sure you understand it. If you do, I bet you the other questions will be easier.

Answer 44

ok thank u