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2 years ago

How to solve this problem

Mathematics

1 answer:

Shkiper50 [21]2 years ago

6 0

You have to ask the question with the right type of something.

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Simplify the trigonomic expression 1/1+ sin

Softa [21]

Answer:

$\sec^2\theta-\tan\theta\sec\theta$

Step-by-step explanation:

We have to simplify the trigonometric expression $\frac{1}{1+\sin\theta}$

Let us multiply the numerator and denominator by $1-\sin\theta$

$\frac{1}{1+\sin\theta}\times\frac{1-\sin\theta}{1-\sin\theta}$

In the denominator apply the formula for difference of squares

$a^2-b^2=(a+b)(a-b)$

Thus, the denominator will become

$(1+\sin\theta)(1-\sin\theta)=1-\sin^2\theta$

Thus, the expression is

$\frac{1-\sin\theta}{1-\sin^2\theta}$

Using the relation $1-\sin^2\theta=\cos^2\theta$

$\frac{1-\sin\theta}{\cos^2\theta}$

We can rewrite this expression as

$\frac{1}{\cos^2\theta}-\frac{\sin\theta}{\cos^2\theta}$

Finally, the simplified expression is

$\sec^2\theta-\tan\theta\sec\theta$

6 0

2 years ago

Read 2 more answers

Giving brainlist to whoever answers

Novosadov [1.4K]

Answer:

45 i believe

Step-by-step explanation:

5 0

2 years ago

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Chad has a rope that is 20 yards long. How many pieces of rope measuring 4/7 of a yard can he divide his rope into?

Sunny_sXe [5.5K]

Answer:

$35\ pieces$

Step-by-step explanation:

we know that

To find the number of pieces of rope 4/7 of a yard, divide the total length of the rope by 4/7

we have that

The total length of the rope is 20 yards

$\frac{20}{(4/7)}=\frac{20*7}{4}=35\ pieces$

4 0

3 years ago

Read 2 more answers

Sandy charges each family that she babysits a flat fee of 10$ for the night and an extra 5$ per child Kimmi charges 25$ per nigh

Finger [1]

I am not going to answer each but here is a general answer.
y is total price and x is number of kids
Sandy's equation would be y= 10+5x
Kimmi's equation would be y= 25

For them to equal we would have 25=10+5x
Simplify
5x=15
x=3
So for them to be equal, Sandy should have 3 kids.

So if someone has 5 children then he should choose Kimmi

6 0

3 years ago

Geoffrey is evaluating the expression (-3^3(2^6)/(-3^5(2^2) what are the values of a,b,c and d

tiny-mole [99]

-9×36÷-15×4
-324÷60
-5.4
(not sure if this is what you are looking for)

5 0

3 years ago