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statuscvo [17]
2 years ago
15

LA= Round your answer to the nearest hundredth. С А 2 6 B

Mathematics
1 answer:
Elis [28]2 years ago
5 0

Answer:

Step-by-step explanation:

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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
1+4=5, 2+5=12, 3+6=21, 8+11=?
MaRussiya [10]
96 is the correct answer to your question i
6 0
2 years ago
Leon drew 2 fraction cards that were between 1/6 and 1/2. The sum of the 2 cards are between?
ss7ja [257]

fndadhfuhadifhaStep-by-step explanation:

6 0
3 years ago
The waitress and the hostess at a restaurant share the tips at the end of the shift the average amount earned in tips between th
soldi70 [24.7K]
The waitress will get 120 dollars

7 0
3 years ago
The table shows the cost of renting a sound system for a concert. Isabel rents a sound system at 1 p.m. and plans to return it b
leonid [27]

Answer:

56

Step-by-step explanation:

its 56 b

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3 years ago
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