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marissa [1.9K]
4 years ago
7

April claims that 1 + cos2(theta) / sin2(theta)= 1 / sin2(theta) is an identity for all real numbers thetatheta that follows fro

m the Pythagorean identity
a. For which values of thetatheta are the two functions ????theta) = 1 + cos2(theta) / sin2(theta)and ????(theta) = 1 / sin2(theta)defined?
Mathematics
1 answer:
Neporo4naja [7]4 years ago
4 0

Answer:

5

Step-by-step explanation:

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Simplify the following expression. 4a^-2b<br><br> A.) b/4a^2<br> B.)4b/a^2<br> C.)1/4a^b2
Sergio [31]
ANSWER

The correct answer is B

\frac{4b}{ {a}^{2} }


EXPLANATION

The given exponential expression is

4 {a}^{ - 2} b

We can rewrite this as,

4b \times  {a}^{ - 2}

We need to simplify to obtain a positive index, so we apply the following property,


{a}^{ - m}  =  \frac{1}{ {a}^{m} }

This implies that,


4b \times  {a}^{ - 2}  = 4b \times  \frac{1}{ {a}^{2} }

This will finally simplify to,

4b \times  {a}^{ - 2}  =\frac{4b}{ {a}^{2} }


Therefore the correct answer is B
6 0
3 years ago
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How to find the length of the hypotenuse of a line segment?
MakcuM [25]

the hypotenuse may be found by using the Pythagoras theorem
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3 years ago
Jake carries a green, a yellow, and a black guitar pic in his pocket. He randomly chooses a guitar pic from his pocket before ev
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Answer:

1/3

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4 years ago
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A hovercraft takes off from a platform. Its height (in meters), xxx seconds after takeoff, is modeled by: h(x)=-2x^2+20x+48h(x)=
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the maximum height is the y-value of the vertex.

h(x) = -2x² + 20x + 48

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x = \frac{-b}{2a} = \frac{-20}{2(-2)} = \frac{-20}{-4} = 5

h(5) = -2(5)² + 20(5) + 48

      =  -50   +  100   + 48

      =          50         + 48

      =                98

Answer: 98 meters

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