cos A /(1- sin A) = (1 + sin A)/cos A

Answer:

**Answer:**

answer is in exaplation

**Step-by-step explanation:**

cosA

+

cosA

1+sinA

=2secA

Step-by-step explanation:

\begin{lgathered}LHS = \frac{cosA}{1+sinA}+\frac{1+sinA}{cosA}\\=\frac{cos^{2}A+(1+sinA)^{2}}{(1+sinA)cosA}\\=\frac{cos^{2}A+1^{2}+sin^{2}A+2sinA}{(1+sinA)cosA}\\=\frac{(cos^{2}A+sin^{2}A)+1+2sinA}{(1+sinA)cosA}\\=\frac{1+1+2sinA}{(1+sinA)cosA}\end{lgathered}

LHS=

1+sinA

cosA

+

cosA

1+sinA

=

(1+sinA)cosA

cos

2

A+(1+sinA)

2

=

(1+sinA)cosA

cos

2

A+1

2

+sin

2

A+2sinA

=

(1+sinA)cosA

(cos

2

A+sin

2

A)+1+2sinA

=

(1+sinA)cosA

1+1+2sinA

/* By Trigonometric identity:

cos² A+ sin² A = 1 */

\begin{lgathered}=\frac{2+2sinA}{(1+sinA)cosA}\\=\frac{2(1+sinA)}{(1+sinA)cosA}\\\end{lgathered}

=

(1+sinA)cosA

2+2sinA

=

(1+sinA)cosA

2(1+sinA)

After cancellation,we get

\begin{lgathered}= \frac{2}{cosA}\\=2secA\\=RHS\end{lgathered}

=

cosA

2

=2secA

=RHS

Therefore,

\begin{lgathered}\frac{cosA}{1+sinA}+\frac{1+sinA}{cosA}\\=2secA\end{lgathered}

1+sinA

cosA

+

cosA

1+sinA

=2secA

Having trouble with this one

2.) What amount presently must be invested earning 5.25% compounded continuouslyso that it will grow up to be worth $25,000 12 years from now?

Hello can you please help me posted picture of question

8. The initial value of an investment is $12,000. If the investment earns an annual interest rate of 2.2%, what is its value in 10 years?a. $14,917.30b. $14,640.00c. $14,627.93d. $87,655.58

Hector's school is holding a fitness challenge. Student are encouraged to exercise at least 2 1/2 hours per week. Hector exercises about the same number of hours each week. During a 4-week period, he exercises for 11 1/2 hours. Hector wants to compare his exercise rate with the fitness challenge rate. How many hours per week does Hector exercise?

2.) What amount presently must be invested earning 5.25% compounded continuouslyso that it will grow up to be worth $25,000 12 years from now?

Hello can you please help me posted picture of question

8. The initial value of an investment is $12,000. If the investment earns an annual interest rate of 2.2%, what is its value in 10 years?a. $14,917.30b. $14,640.00c. $14,627.93d. $87,655.58

Hector's school is holding a fitness challenge. Student are encouraged to exercise at least 2 1/2 hours per week. Hector exercises about the same number of hours each week. During a 4-week period, he exercises for 11 1/2 hours. Hector wants to compare his exercise rate with the fitness challenge rate. How many hours per week does Hector exercise?

56/23= 2.43 or 2 pages per 1 minute

Answer: 5/2

Step-by-step explanation: Both 15 and 6 can be divided by 3, which turns 15 into 5 and 6 into 2, giving you 5/2

7277+x=10245

**Answer:**

x =2968

**Step-by-step explanation:**

7277+x=10245

Subtract 7277 from each side

7277-7277+x=10245-7277

x =2968

**Answer:**

x = 2968

**Step-by-step explanation:**

7277 + x = 10245

-7277 -7277 (Subtract 7277 from both sides to leave x by itself)

_____________

x = 2968

Could you give brainliest

Your answer is x = -3/5, 2

**Answer:**

30 cm

**Step-by-step explanation:**

The first one it says 4cm. That means all sides equal to 4 cm.

The second one it says 5 cm. That means all sides equal to 5 cm.

Lets do the second shape.

Since you see 6 sides with 5cm.

You do 6 times 5. Which equals to 30.

You add the label, so 30cm.

The amount of money in a bank account.

This would be the set of rational numbers.

When dealing with money, we deal with parts of dollars, written as decimals. Decimals can be written as fractions, so these are rational numbers.

When dealing with money, we deal with parts of dollars, written as decimals. Decimals can be written as fractions, so these are rational numbers.

The amount of money in a bank account is best described by the rational numbers set. In the context of money, this includes positive and negative numbers, as well as fractions of a dollar.

The set of numbers that best describes the amount of money in a bank account would be the

rational numbers

. Rational numbers are basically fractions, where the numerator and the denominator are both integers. In terms of money, this would include both positive and negative amounts (if you're considering the possibility of an overdraft), as well as fractions of a dollar (like cents). For example, if you have $20.25 in your account, this can be described as a rational number because 20.25 is a number that can be expressed as a fraction (2025/100). So, the amount of money in a bank account would fit under the

rational numbers

set.

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