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3 years ago

Connections between tan theta and tan(90 + theta)

1 answer:

7 0

Tan(90+ theta) = (tan90 + tantheta)/(1-tan90tantheta)

= ( sin90costheta + sintheta cos 90) / (cos90costheta - sin90sintheta))
= sin(90 + theta)/ cos(90+ theta) = costheta/-sintheta = - 1/tantheta

tan(90 + theta ) = -1/tantheta

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It's a little blurry sorry please help

Ghella [55]

Answer:

It's X=2

Working out:

(left one):

2(x+3)=10

2x+6=10

2x=10-6

2x=4

x=2

Working out:

(right one):

2(x+3) must be all divided by 2 so it will be x+3 and same for 10, it will be 5 so...

x+3=5

x=5-3

x=2

Hope it helps ^---^

3 0

3 years ago

Read 2 more answers

A lab technician is dividing a cell that has a diameter of 4.32×10^-4 millimeters. Each of the new cells has a diameter measurin

RideAnS [48]

Answer:

$2.16 \times {10}^{ - 4}$

Step-by-step explanation:

The lab technician is dividing a cell that has a diameter of

$4 .32 \times {10}^{ - 4}$

The new cells has a diameter that is half of the diameter of the original cell.

The diameter of the new cell is given as:

$\frac{4.32 \times {10}^{ - 4} }{2}$

Rewrite the numerator in standard notation:

$\frac{0.000432}{2}$

$= 0.00216$

We rewrite in scientific notation to obtain:

$2.16 \times {10}^{ - 4}$

3 0

4 years ago

Michael is 5 years old than rui feng and. Vishal is thrice as old as micheal if rui feng is 3 years old find Michael present age

lorasvet [3.4K]

Answer:

a) Micheal's present age = 8 years old

b) The sum of their ages in 6 years time = 63 years.

Step-by-step explanation:

From the above question, we know that

Rui feng is 3 years old

We are told that

• Michael is 5 years old than Rui feng

Micheal's present age is calculated as:

= 5 + Rui feng's age

= 5 + 3 = 8 years

• Vishal is thrice as old as Micheal

Vishal's present age is calculated as

= 3(Micheal age)

= 3(8)

= 24 years.

The sum of their ages in six years time

= ( 3 + 6) +( 8 + 6) + ( 24 + 6)

= 18 + 15 + 30

= 63 years

Therefore, a) Micheal's present age = 8 years old

b) The sum of their ages in 6 years time = 63 years.

3 0

3 years ago

For what value of constant c is the function k(x) continuous at x = 0 if k =

nlexa [21]

The value of constant c for which the function k(x) is continuous is zero.

<h3>What is the limit of a function?</h3>

The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.

To determine the value of constant c for which the function of k(x) is continuous, we take the limit of the parameter as follows:

$\mathbf{ \lim_{x \to 0^-} k(x) = \lim_{x \to 0^+} k(x) = 0 }$

$\mathbf{\implies \lim_{x \to 0 } \ \ \dfrac{sec \ x - 1}{x}= c }$

Provided that:

$\mathbf{\implies \lim_{x \to 0 } \ \ \dfrac{sec \ x - 1}{x}= \dfrac{0}{0} \ (form) }$

Using l'Hospital's rule:

$\mathbf{\implies \lim_{x \to 0} \ \ \dfrac{\dfrac{d}{dx}(sec \ x - 1)}{\dfrac{d}{dx}(x)}= \lim_{x \to 0} sec \ x \ tan \ x = 0}$

Therefore:

$\mathbf{\implies \lim_{x \to 0 } \ \ \dfrac{sec \ x - 1}{x}=0 }$

Hence; c = 0

Learn more about the limit of a function x here:

brainly.com/question/8131777

#SPJ1

5 0

2 years ago

Tşk şimdiden 17 puan

Kamila [148]

Answer:

um what-?

Step-by-step explanation:

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3 years ago