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Marina86 [1]
2 years ago
14

If the angles are represented in degrees, find both angles: sin(x + 7) = cos(4x + 8)

Mathematics
2 answers:
ValentinkaMS [17]2 years ago
7 0

Answer:

x = -1/3

Step-by-step explanation:

We have,

sin(x + 7) = cos(4x + 8)

We need to find the value of x.

We know that,

sin(90-x) = cosx

So,

sin(90-(x + 7)) = cos(4x + 8)

cos(x+7) = cos(4x + 8)

i.e.

(X+7) = (4x+8)

7-8 = 4x-x

-1 = 3x

x = -1/3

docker41 [41]2 years ago
6 0

Answer:

sin(22 ∘ ) = cos(68∘ )

Step-by-step explanation:

Sin(x+7)=cos(4x+8)

(x+7) + (4x+8) =   90

x + 7 + 4x + 8 =  90

5x + 15 =  90

    −15 =  −15

5x/5 = 75/5

x = 15

Answer: sin(22 ∘ ) = cos(68∘ )

 

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Answer:

Step-by-step explanation:

1)

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2 years ago
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professor190 [17]

Answer:

(x+2)^2 + (y-3)^2 = 10

Step-by-step explanation:

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______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

(x-a)^2 + (y-b)^2 = r^2    \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2  \\=>(x+2)^2 + (y-3)^2 = r^2    (1)

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 )  in equation 1 we have

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now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is =>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10

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3 years ago
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