# Provecos A /(1- sin A) = (1 + sin A)/cos A​

## Answers

Answer 1
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

## Related Questions

Kenny reads 56pages in 23minutes, How many pages per 1 minute?

### Answers

56/23= 2.43 or 2 pages per 1 minute

What is the ratio 15 inches to 6 feet as a fraction in simplest form?

### Answers

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

I have a algebraic problem
7277+x=10245

### Answers

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

5x^2-7x-6=0 in factored form

### Answers

Your answer is x = -3/5, 2

Please help now I need to find the missing perimeter please show the work

### Answers

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.

Identify the set of numbers that best describes each situation. Explain your choice. (Choices are rational irrational integers whole numbers.)

The amount of money in a bank account.

### Answers

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.

### Final answer:

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.

### Explanation:

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.

### Learn more about Rational Numbers here:

brainly.com/question/24398433

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