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soldi70 [24.7K]
2 years ago
12

Can someone help me D: it's math (if you don't know, I'm terrible at math, so please help lol)

Mathematics
2 answers:
Nataly [62]2 years ago
7 0
Nothing is downloaded
Levart [38]2 years ago
7 0
Can’t see anything you did not download an image
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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
Need help please and thank you
yulyashka [42]

Answer:

no thank you

Step-by-step explanation:

lol good day

6 0
2 years ago
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Which of the following functions is graphed below
elena-s [515]

Answer:

b

Step-by-step explanation:

bet

7 0
3 years ago
Help please i cant figure this out
rjkz [21]

Answer:

100

Step-by-step explanation:

hope this helped :D

7 0
3 years ago
Read 2 more answers
G^2 + 4gh ; if g = -3 and h= 5
Klio2033 [76]
<h3 /><h3>{g}^{2}   + 4gh \\  { - 3}^{2}  + 4( - 3 \times 5) \\ 9 + ( - 12 \times 20) \\ 9 +(  - 240 ) \\  =  - 231\\</h3>

<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em>

7 0
3 years ago
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