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Virty [35]
3 years ago
10

Prove the identity with steps. sin (x-y)/cos x sin y = tan x cot y -1​

Mathematics
1 answer:
Ad libitum [116K]3 years ago
5 0

Step-by-step explanation:

sin(x−y) / (cos x sin y)

Use angle sum/difference formula:

(sin x cos y − sin y cos x) / (cos x sin y)

Divide:

(sin x cos y) / (cos x sin y) − 1

Rearrange:

(sin x / cos x) (cos y / sin y) − 1

Simplify:

tan x cot y − 1

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Nikitich [7]

Answer:

option d is the correct answer

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3 years ago
A crowd funding project has received $8350, which is $750 more than 60% of the goal amount. What is the goal amount
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$4,260

Step-by-step explanation:

7 0
3 years ago
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If a leg of a 45-45-90 triangle is 11 then the hypotenuse is...
iragen [17]

Answer:

c)11√2

Step-by-step explanation:

Given that two of the angles are equal ,each measuring 45 degrees then two legs will be equal as well each measuring 11 units. We have a right angled triangle with two sides given and we are required to determine the hypotenuse. We use Pythagoras theorem;

hypotenuse^2 = 11^2 + 11^2

hypotenuse ^2 = 242

hypotenuse = \sqrt{242}

hypotenuse = 11\sqrt{2}

3 0
4 years ago
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There are Z fish in a aquarium. 1/4 of the fish are angelfish. How may are angelfish?
blsea [12.9K]

Step-by-step explanation:

since there are z fishes

the number of angelfish = <u>1</u><u> </u> × z

4

= <u>1</u><u> </u>z

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7 0
2 years ago
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Compare 4 x 10^6 and 2 x 10^7.
marishachu [46]

Answer:

C. 2\times 10^7 is 5 times larger than 4\times 10^6

Step-by-step explanation:

We want to compare 4\times 10^6 and 2\times 10^7.


In order to determine how many times

2\times 10^7

is larger than

4\times 10^6,

we need to divide 2\times 10^7 by  4\times 10^6 to obtain;


\frac{2\times 10^7}{4\times 10^6} =\frac{10}{2} =5


Therefore we can see that;


2\times 10^7 is 5 times larger than 4\times 10^6


The correct answer is C.



6 0
3 years ago
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