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vivado [14]
2 years ago
10

Question 16 (Essay Worth 7 points) Verify the identity. tan (x + π/2) = -cot x

Mathematics
1 answer:
Rus_ich [418]2 years ago
6 0

Step-by-step explanation:

We know that tan=sin/cos, so tan(x+π/2)=

\frac{sin(x+pi/2)}{cos(x+pi/2)}

Then, we know that sin(u+v)=sin(u)cos(v)+cos(u)sin(v),

so our equation is then

\frac{sin(x)cos(\pi/2)+cos(x)sin(\pi/2)}{cos(x+\pi/2)}  = \frac{cos(x)}{cos(x+\pi/2) }

Then, cos(u+v)=cos(u)cos(v)-sin(u)sin(v), so our expression is then

\frac{cos(x)}{cos(x)cos(\pi/2)-sin(x)sin(\pi/2)} = \frac{cos(x)}{-sin(x)} = -cot(x)

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Solve the following quadratic equation by factoring or Quadratic Formula.
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Answer:

A.

Step-by-step explanation:

x2 - 3x - 10. = 0

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Which system of equations is consistent and dependent?
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Answer:

Step-by-step explanation:

4x − y = −11

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lets multiply the second equation by -2 and add it to the first:

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0  - 7y = -21

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now we substitute this result in the first equation to find x:

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