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valkas [14]
2 years ago
13

Help with Trigonometric identities

Mathematics
1 answer:
Gre4nikov [31]2 years ago
3 0

Answer:

Option 2

Step-by-step explanation:

Since theta is in the third quadrant, the sine of theta is negative.

By the Pythagorean identity,

\sin \theta=-\frac{\sqrt{105}}{13}

So, using the double angle formula for sine, we get that

\sin 2\theta=\frac{16\sqrt{105}}{169}

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Free_Kalibri [48]
15 = rate * 40
rate = 15/40
rate = 0.375 * 100% = 37.5%
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3 years ago
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Find the domain of the function (f/g)(x) given f (x)=x^2-4x-5 and g(x)=x^2-25
stealth61 [152]

Answer:

all real numbers except ±5.

Step-by-step explanation:

Each function (f(x), g(x)) has a domain that is all real numbers. Their quotient (f(x)/g(x)) must exclude values that make g(x) = 0. The quotient is undefined when the denominator is zero. Those excluded values are x = ±5.

The domain of (f/g)(x) is all real numbers except ±5.

___

Of course you recognize x^2 -25 = 0 has solutions x = ±√25 = ±5. You can get there two ways:

  1. add 25 and take the square root: x^2=25; x=±√25.
  2. factor the difference of squares and set the factors to zero: (x-5)(x+5)=0 has solutions x-5=0 and x+5=0, that is, x = ±5.
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3 years ago
Which of the following is a monomial?
Semmy [17]

Answer:

C

Step-by-step explanation:

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It’s in the picture <br> P.S. the answer isn’t 64
sveta [45]

Answer:

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The area of a rectangle is 27ft squared, and the length of the rectangle is 3ft less than twice the width. Find the dimensions o
oksano4ka [1.4K]

Answer:

width =4.5ft

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Step-by-step explanation:

w = x

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3 years ago
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