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2 years ago

[PRECALC] Verify the following trigonometric identity using sin2x + cos2x = 1

Mathematics

1 answer:

frosja888 [35]2 years ago

3 0

Answer:

See below ~

Step-by-step explanation:

Identities :

cot x = cos x / sin x
sin²x + cos²x = 1

Changing the Left Hand Side (LHS) :

1/cot x + cotx
1/(cos x / sin x) + cos x / sin x
sin x / cos x + cos x / sin x
Take (sin x)(cos x) as the LCM (Least Common Multiple)
sin x (sin x) + cos x (cos x) / (sin x) (cos x)
sin²x + cos²x / cos x sin x
1/cos x sin x
Equal to the RHS

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Answer:

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3 years ago

you borrow $500 from your parents to buy a new computer. your parents charge yoa 3% simple interest and give you two years to re

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A) 3% of $500 is 500×0.03=$15. This means that for one year, the interest added is $15. As we are dealing with simple interest, this amount will be added on the loan each year, and doesn't change. Therefore, over 2 years, the amount of interest you pay on the loan is 15×2=$30
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3 years ago

In a small Library there are five non-fiction books for every nine fiction book there are 130 Non-fiction books how many fiction

vova2212 [387]

Answer:

For 130 non-fiction books, the number of fiction books can be from 270 to 278.

Step-by-step explanation:

Given that, there are 5 non-fiction books for every 9 fiction books.

Observe that, if the number of fiction books is less than 9, than there will be no no-fiction books.

So, there are 5 non-fiction books for every 9 to (9+8) fiction books

So, by elementary method, there will be 5n non-fiction books for every 9n+8 fiction books, where n is a natural number.

Or, if the number of non-fiction books is 5n, then the number of fiction books will be ranging from 9n to (9n+8).

For, 150 non-fiction books, 5n=150 or n=150/5=30.

Hence, the number of fiction books can be from 9n to (9n+8).

=9x30 to (9x30+8)

=270 to 278.

Hence, for 130 non-fiction books, the number of fiction books can be from 270 to 278.

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4 years ago

Need help ASAP !!!!!!!!!!!

Lena [83]

Answer: Choice C

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Work Shown:

y - y1 = m(x - x1)

y - (-1) = (4/3)(x-9)

y+1 = (4/3)(x-9)

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3 years ago