1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kap26 [50]
3 years ago
10

Ejercicio de ecuaciones trigonométricas Necesitamos el resultado del ejercicio, alfa, teta y la comprobación de cada una. Ayudaa

a!! 25 cos^2⁡x=16 sin^2⁡x+32 sin⁡x+16
Mathematics
1 answer:
belka [17]3 years ago
6 0

Respuesta:

x = 270 grados

Explicación paso a paso:

Dada la expresión de trigonometría

25 cos ^ 2⁡x = 16 sin ^ 2⁡x + 32 sin⁡x + 16

Recuerde que cos²x + sen²x = 1

cos²x = 1-sen²x

Sustituir en la ecuación original

25 (1-sen²x) = 16 sen²x + 32 sen⁡x + 16

Expandir

25 - 25 sen²x = 16 sen²x + 32 senx + 16

16 sen²x + 25 sen²x + 32 senx + 16 - 25 = 0

41 sen²x + 32 senx - 9 = 0

Sea P = senx

41P² + 32P - 9 = 0

Factorizar

41P² + 41P -9P- 9 = 0

41P (P + 1) -9 (P + 1) = 0

(41P-9) (P + 1) = 0

41P = 9 y P = -1

Si P = -1

sinx = -1

x = arcosen (-1)

x = -90

ya que el pecado es negativo en el tercer cuadrante;

x = 180 + theta

x = 180 + 90

x = 270 grados

You might be interested in
Find the value of x in the<br> following parallelogram:<br> 3<br> 5x - 6<br> 3x - 2<br> x = [?]
Rufina [12.5K]
3x-2 = 5x-6

3x-5x = -6+2

-2x = -4

x = 2
8 0
3 years ago
Read 2 more answers
ASAP!!! WILL GIVE BRAINLIEST!!
Ivan

Answer:

Combination without repetition

Step-by-step explanation:

The fruit he chooses doesn’t matter because he’s simply throwing them in his lunch box (so it’s a combination). And because there is a limited amount of fruit it is without repetition.

5 0
3 years ago
Read 2 more answers
G= -4b - 3 + 3a , for a
tatyana61 [14]

a= 4/3b+1/3g+1

extra word extra word

8 0
3 years ago
Factorize 225-49<br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20" id="TexFormula1" title=" {x}^{2} " alt=" {x}^{2}
erica [24]

225-49x^2

-49x^2+225

=(7x+15)(-7x+15)

7 0
3 years ago
Read 2 more answers
Solve triangle. round to the nearest tenth​
LUCKY_DIMON [66]

Answer:

37.5 ( i didn't round cause the answer looked simple already)

Step-by-step explanation:

formula for triangle is base x height divided by 1/2

Base(5) x Height(15) = 75 now divide by 1/2

75 divided by 1/2 = 37.5

(Could i have brainliest if i'm right?)

4 0
3 years ago
Other questions:
  • The Declaration of Independence was signed on July 4, 1776. The United States celebrated the bicentennial on July 4, 1976. How m
    13·2 answers
  • Bailey company purchased a new delivery truck for $35,000. the sales tax was $2,000. the logo of the company was painted on the
    6·1 answer
  • List the common factors of 72 and 36
    11·1 answer
  • 0.1[x+250]=5000 answer please
    11·2 answers
  • Solving systems of equations by substitution<br> y= x - 8<br> y = -4
    13·1 answer
  • Which is a right angle?
    13·1 answer
  • A penguin walks to feet in 6 seconds how long does it take for him to walk45 seconds
    5·1 answer
  • B) Which one of the following points lies on the line 2y = 5x - 3?
    14·1 answer
  • Can you the question please and thank you
    5·1 answer
  • Which expression is equivalent to 16³? <br>2⁷ <br>2¹¹ <br>2¹² <br>2⁶⁴​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!