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Marina CMI [18]
3 years ago
9

Prove this trigonometric identitysin ​3x/sin x - cos 3x/cos x =2

Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0

Step-by-step explanation:

LHS= sin 3x/sin x - cos 3x/cosx

Taking LCM,

<u>=</u><u>sin3xcosx- cos3xsinx</u>

sinxcosx

<u>=</u><u>sin(3x-x)</u>

sinxcosx

= <u>2sin2x</u>

2sinxcosx

=<u> </u><u>2sin2x</u><u> </u>

sin2x

=2

= RHS.

Proved.

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Hezekiel runs 1000 m at a rateof 3 minutes per km. how long does he take to run 500 m​
lana66690 [7]

Step-by-step explanation:

1 km = 1000 m

(hence the term "kilo" which means 1000).

so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.

now, we can see the solution already with our eyes.

but let's do it formally :

the rate or ratio between time and distance must be the same for the same speed.

so,

3 min / 1000 m = x min / 500 m

500 m × 3 min / 1000 m = x min

1/2 × 3 min = x min

3/2 = 1.5 min = x min

so, it takes him 1.5 minutes (90 seconds) to run 500 m.

3 0
2 years ago
What of the following exponential functions is represented by the data in the table?
patriot [66]

Answer:

f(x) = ( 1/3) ^ (x)

Step-by-step explanation:

The function is

f(x) = (1/3) ^ (x)

When x = 1  f(x) = 1/3

when x=2    f(x) = 1/9

When x = -1  f(x) = ( 1/3) ^ -1 = 3/1 =3

7 0
2 years ago
What number is 1/10 as great as 7,962
yanalaym [24]
Assuming your question can be rewritten as:
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7962 * 110% = itself + 10%
= 7962 * 1.10   <----- (1.10 = 110%)
= 8758.2
5 0
3 years ago
Read 2 more answers
How do you subtract the following fraction to find the solution?<br> 5 - 4/9
garri49 [273]
Here 5 - 4/9 
multiply 9 and divide 9 to 5. It gives 45/9.
Hence, above fraction becomes,
45/9 - 4/9 = (45 - 4) / 9 = 41 / 9
Hope it helps.
5 0
3 years ago
I need help with this problem answers is right there but show me how to get that answer
Olin [163]
First you find P which would be 16+17+17 which equals 50. Then you find B which is 1/2•16•15 which equals 120. Next you write the formula which would look like 50(20)+2(120) which equals 1240!
3 0
3 years ago
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