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alexandr402 [8]
3 years ago
10

Prove the identity sin(x-y)/cosxsiny=tanxcoty-1

Mathematics
1 answer:
photoshop1234 [79]3 years ago
6 0

Step-by-step explanation:

\frac{sin(x - y)}{cos \: x \: sin \: y}  \\  \\  =  \frac{sin \: x \: cos \: y -cos \: x \: sin \: y }{cos \: x \: sin \: y}  \\  \\  =    \frac{sin \: x \: cos \: y }{cos \: x \: sin \: y}   +   \frac{-cos \: x \: sin \: y }{cos \: x \: sin \: y}  \\  \\ =    \frac{sin \: x \:}{cos \: x }  \times  \frac{cos \: y }{sin \: y}   -    1 \\  \\  = tan \: x \: cot \: y - 1 \\  \\  \therefore \:  \frac{sin(x - y)}{cos \: x \: sin \: y} = tan \: x \: cot \: y - 1  \\  \\ thus \: proved \\

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THIS IS A 3-STEP QUESTION PLEASE ASWER ACCORDINGLY! THANKS !!!
mariarad [96]
A.
Let x = age of Samantha.
Then x - 2 = age of Emily,
and x + 2 = age of Lauren.

b.
x - 2 + x + x + 2 = 42

c.
x - 2 + x + x + 2 = 42

3x = 42

x = 14

x - 2 = 14 - 2 = 12

x + 2 = 14 + 2 = 16

The ages of the sisters are 12, 14, 16.
4 0
3 years ago
K.Brew sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. R
Elan Coil [88]

Answer:

Step-by-step explanation:

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = mean sale amount for mail order sales = 82.70

x2 = mean sale amount for internet sales = 66.9

s1 = sample standard deviation for mail order sales = 16.25

s2 = sample standard deviation for internet sales = 20.25

n1 = number of mail order sales = 17

n2 = number of internet sales = 10

For a 99% confidence interval, we would determine the z score from the t distribution table because the number of samples are small

Degree of freedom =

(n1 - 1) + (n2 - 1) = (17 - 1) + (10 - 1) = 25

z = 2.787

Margin of error =

z√(s²/n1 + s2²/n2) = 2.787√(16.25²/17 + 20.25²/10) = 20.956190

4 0
3 years ago
WILL MARK BRAINLEIST ​
yaroslaw [1]

Answer:

Which one do we have to answer?

Step-by-step explanation:

First of all, I can't even see the whole question. Second of all, you didn't tell us what to answer. Please comment on this answer on which question you need help with.

8 0
3 years ago
Read 2 more answers
This question has been deleted
Serhud [2]
What is the question
7 0
3 years ago
a recipe calls for 24 fluid ounces of light whipping cream. if anthony has 1.5 pints of whipping cream in his refrigerator does
natta225 [31]

Answer:

Yes

Step-by-step explanation:

He has 24 fluid ounces. You know this because in 1 pint, there are 16 fluid ounces. In half of one pint there are 8 ounces. 16 + 8 = 24 oz

I hope this could help!

6 0
3 years ago
Read 2 more answers
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