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3 years ago

13

Please help, this is a chapter on Derivatives.

2 answers:

Licemer1 [7]3 years ago

8 0

Ooop and in middle school :(

horsena [70]3 years ago

7 0

Answer:

Step-by-step explanation:

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In a right triangle, angle is an acute angle and sin angle = 4/9. Evaluate the other five trigonometric functions of angle.

kkurt [141]

Answer:

Part 1) $cos(A)=\frac{\sqrt{65}}{9}$

Part 2) $tan(A)=4\frac{\sqrt{65}}{65}$

Part 3) $cot(A)=\frac{\sqrt{65}}{4}$

Part 4) $sec(A)=9\frac{\sqrt{65}}{65}$

Part 5) $csc(A)=\frac{9}{4}$

Step-by-step explanation:

Let

A------> the angle

we have that

$sin(A)=\frac{4}{9}$

step 1

Find the cos(A)

we know that

$cos^{2}(A)+sin^{2}(A)=1$

substitute the value of sin(A)

$cos^{2}(A)+(\frac{4}{9})^{2}=1$

$cos^{2}(A)=1-(\frac{4}{9})^{2}$

$cos^{2}(A)=1-(\frac{16}{81})$

$cos^{2}(A)=(\frac{65}{81})$

$cos(A)=\frac{\sqrt{65}}{9}$

step 2

Find the tan(A)

we know that

$tan(A)=\frac{sin(A)}{cos(A)}$

substitute the values

$tan(A)=\frac{\frac{4}{9}}{\frac{\sqrt{65}}{9}}$

$tan(A)=\frac{4}{\sqrt{65}}$

$tan(A)=4\frac{\sqrt{65}}{65}$

step 3

Find the cot(A)

we know that

$cot(A)=\frac{1}{tan(A)}$

we have

$tan(A)=\frac{4}{\sqrt{65}}$

substitute

$cot(A)=\frac{1}{\frac{4}{\sqrt{65}}}$

$cot(A)=\frac{\sqrt{65}}{4}$

step 4

Find the sec(A)

we know that

$sec(A)=\frac{1}{cos(A)}$

we have

$cos(A)=\frac{\sqrt{65}}{9}$

substitute

$sec(A)=\frac{1}{\frac{\sqrt{65}}{9}}$

$sec(A)=\frac{9}{\sqrt{65}}$

$sec(A)=9\frac{\sqrt{65}}{65}$

step 5

Find the csc(A)

we know that

$csc(A)=\frac{1}{sin(A)}$

we have

$sin(A)=\frac{4}{9}$

substitute the value

$csc(A)=\frac{1}{\frac{4}{9}}$

$csc(A)=\frac{9}{4}$

5 0

3 years ago

Which number is the smallest 4.4×10 to the -5th 3.99×10 to the -6th 2.6×10 to the second power or 1.85×10 to the third

galben [10]

<span> 2.6×10 to the second power is the correct answer</span>

4 0

3 years ago

Divide.<br><br> 51.75 ÷ 15<br><br><br> 3.45<br><br> 34.5<br><br> 345<br><br> I don't know.

Mumz [18]

Answer:

3.45

Step-by-step explanation:

Do long division to get your answer, but instead of division you can just multiply 15 x 3.45 and you'll get 51.75.

3 0

2 years ago

What is the value of y in the equation: xy =k if x=12 and k=3

andreyandreev [35.5K]

The value of y is -9

5 0

3 years ago

Ruby and her friends are going into a restaurant. How much would it cost to buy 3

Gnoma [55]

Answer:

Step-by-step explanation:

3x2.25=6.75

4x4=16

16+6.75=22.75

8 0

3 years ago