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Nikolay [14]
3 years ago
11

Please help finding these arc lengths??

Mathematics
1 answer:
Sloan [31]3 years ago
4 0
Hope that helps you!

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Find all solutions ​
Anton [14]

Answer:

The solutions of the equation are 0 , π

Step-by-step explanation:

* Lets revise some trigonometric identities

- sin² Ф + cos² Ф = 1

- tan² Ф + 1 = sec² Ф

* Lets solve the equation

∵ tan² x sec² x + 2 sec² x - tan² x = 2

- Replace sec² x by tan² x + 1 in the equation

∴ tan² x (tan² x + 1) + 2(tan² x + 1) - tan² x = 2

∴ tan^4 x + tan² x + 2 tan² x + 2 - tan² x = 2 ⇒ add the like terms

∴ tan^4 x + 2 tan² x + 2 = 2 ⇒ subtract 2 from both sides

∴ tan^4 x + 2 tan² x = 0

- Factorize the binomial by taking tan² x as a common factor

∴ tan² x (tan² x + 2) = 0

∴ tan² x = 0

<em>OR</em>

∴ tan² x + 2 = 0

∵ 0 ≤ x < 2π

∵ tan² x = 0 ⇒ take √ for both sides

∴ tan x = 0

∵ tan 0 = 0 , tan π = 0

∴ x = 0

∴ x = π

<em>OR</em>

∵ tan² x + 2 = 0 ⇒ subtract 2 from both sides

∴ tan² x = -2 ⇒ no square root for negative value

∴ tan² x = -2 is refused

∴ The solutions of the equation are 0 , π

4 0
3 years ago
Read 2 more answers
PLEASE HELP ME.<br><br> Is the point (3,-2) on the graph of 3x – 2y = 12?
Zinaida [17]

Answer:

use photo math, take a picture of the equation, go down to the graph and see if there is a plot on (3,-2)

3 0
3 years ago
Solve for y<br> 4.2x - 1.4y = 2.1
Harlamova29_29 [7]
4.2x - 1.4y = 2.1    |multiply both sides by 10

42x - 14y = 21    |subtract 42x from both sides

-14y = 21 - 42x    |change signs

14y = 42x - 21    |divide both sides by 14

y = 3x - 1.5
8 0
3 years ago
The formula for converting a Celsius temperature to a Fahrenheit temperature is: F = C × 9⁄5 + 32 If C = 100 degrees, what is th
zmey [24]
F = 1.8C + 32
F = 1.8(100) + 32
F = 180 + 32
F = 212 degrees
7 0
3 years ago
A stick was broken into two pieces. The length of the first piece is 28 cm more than the second piece. The total length of the t
Reika [66]
84 cm because you HAVE to add them together.
6 0
2 years ago
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