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Alex Ar [27]
3 years ago
13

What basic trigonometric identity would you use to verify that csc x sec x cot x= csc^2x.

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0

Answer:

See below.

Step-by-step explanation:

I would use cot x =  cos x / sin x:

csc x sec x cot x

= csc x * 1/cos x  * cos x / sin x

The cos x disappears:

= csc x * 1 / sin x

= csc^2 x.

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Step-by-step explanation:

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3 years ago
Fill in the blanks.
Roman55 [17]

Answer:

One way of awarding interest is called simple interest. Before we provide the formula used in calculating simple interest, let’s first define some basic terms.

Balance. The balance is the current amount in an account or the current amount owed on a loan.

Principal. The principal is the initial amount invested or borrowed.

Rate. This is the interest rate, usually given as a percent per year.

Time. This is the time duration of the loan or investment. If the interest rate is per year, then the time must be measured in years.

To calculate the simple interest on an account or loan, use the following formula.

Simple Interest

Simple interest is calculated with the formula

I=Prt,

 

where I is the interest, P is the principal, r is the interest rate, and t is the time.

Step-by-step explanation:

One way of awarding interest is called simple interest. Before we provide the formula used in calculating simple interest, let’s first define some basic terms.

Balance. The balance is the current amount in an account or the current amount owed on a loan.

Principal. The principal is the initial amount invested or borrowed.

Rate. This is the interest rate, usually given as a percent per year.

Time. This is the time duration of the loan or investment. If the interest rate is per year, then the time must be measured in years.

To calculate the simple interest on an account or loan, use the following formula.

Simple Interest

Simple interest is calculated with the formula

I=Prt,

 

where I is the interest, P is the principal, r is the interest rate, and t is the time.

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Step-by-step explanation:

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9514 1404 393

Answer:

  a) (x +2)(x +3)

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Step-by-step explanation:

a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...

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The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...

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__

b) The solutions to the equation are the values of x that make the factors zero:

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  (x +3) = 0   ⇒   x = -3

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