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3 years ago

Use the angle sum identity to find the exact value of cos 105

Mathematics

1 answer:

IrinaK [193]3 years ago

8 0

So use the angle sum identity which we know to be cos(105) =cos(45+60)=cos45 cos 60 - sin 45 sin 60

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Identify a horizontal or vertical stretch or compression of the function ƒ(x) = x2 by observing the equation of the function g(x

igomit [66]

To solve this problem you must apply the proccedure shown below:

1. You have the following parent function given in the problem above:

$f(x)=x^{2}$

2. And you have the function $g(x)=5(x^{2} )$

3. By definition, if you have the function $y=ax^{2}$ and $|a|>1$ it is a vertical stretch.

4. Therefore, you have that:

$|a|=5\\ 5>1$

Therefore the answer is: It is a vertical stretch.

4 0

3 years ago

Help with cal 2 exercise involving integrals?

zhannawk [14.2K]

$\displaystyle\int\frac{\sqrt{x^2+1}}x\,\mathrm dx=\int\frac{\sqrt{\tan^2B+1}}{\tan B}\sec^2B\,\mathrm dB$

$\tan^2B+1=\sec^2B$

$\sqrt{\sec^2B}=\sec B$ (provided that $\sec B>0$ )

Then

$\dfrac{\sec B}{\tan B}\cdot\sec^2B=\dfrac{\sec^2B}{\tan B}\cdot\sec B$

(just moving around a factor of $\sec B$ )

$\dfrac{\sec B}{\tan B}\cdot\sec^2B=\dfrac{\sec^2B}{\tan^2B}\cdot\sec B\tan B$

(multiply by $\dfrac{\tan B}{\tan B}$ )

8 0

3 years ago

Evaluate 3 – 24 - 8 + 32

UNO [17]

Answer:

Step-by-step explanation:

Evaluate the calculation from left to right, that is

3 - 24 - 8 + 32

= - 21 - 8 + 32

= - 29 + 32

= 3

6 0

3 years ago

Read 2 more answers

B(n)=−1(2) ^n−1<br> What is the 5th term in the sequence?

Rashid [163]

Answer:

Step-by-step explanation:

aₙ = 2ⁿ⁻¹

a₅ = 2⁴⁻¹ =2³=8

4 0

3 years ago

Why is the quotient -100/(-5) the same as the quotient 100/5

Tatiana [17]

Answer:The quotient of -100 and -5 is the same as the quotient of 100/5 because if you divide a negative number by a negative number, you will get a positive number and the same way if you divide a positive number by a positive number you will get a positive number.

Step-by-step explanation:

-100/-5 = 20

100/5 = 20

8 0

3 years ago