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Anna007 [38]
2 years ago
9

50 POINT QUESTION Evaluate the determinant of the matrix please show all steps

Mathematics
1 answer:
fgiga [73]2 years ago
5 0

-4 det 4 4   -5 det 0 4  + 6 det 0 4

          -5 4             -2 4              -2 5

det a b

     c d  

ad -bc

-4 *(4*4- (-5*4))  -5 (0*-5 -4*(-2)) + 6(0*(-5)-(-2*4))

-4 (16 - (-20)) -5 (0+8) +6( 0-(-8))

-4(36) -40+48

-144-40+48

-136

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Answer:

A

Step-by-step explanation:

We want to solve the equation:

5\sin(2x)=3\cos(x)

To do so, we can rewrite the equation.

Recall the double-angle for sine:

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By substitution:

5\left(2\sin(x)\cos(x)\right)=3\cos(x)

Distribute:

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We can subtract 3cos(x) from both sides:

10\sin(x)\cos(x)-3\cos(x)=0

And factor:

\cos(x)\left(10\sin(x)-3\right)=0

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.

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step 1

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step 2

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so

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