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3 years ago

HELP ASAP. WILL GIVE BRAINLIEST! BEING TIMED!!!

Mathematics

1 answer:

yaroslaw [1]3 years ago

6 0

Answer:

hope this helps you out :)

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Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ

mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...

Anyways, the half angle identity for tangent is

$tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}$

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) }$ which simplifies a bit to

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }$ and a bit more to

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }$

Bring up the lower fraction and flip it to divide to get

$tan(\frac{\theta}{2})=-\frac{3}{5}*\frac{5}{1}$ which of course simplifies to

-3. Choice A.

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3 years ago

The number of goals a hockey team scores over the first 7 games of the season is shown Below

lyudmila [28]

Answer:

The mean standard deviation is 10/5

Step-by-step explanation:

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3 years ago

Select the correct answer.

icang [17]

Answer: C (0,2)

Step-by-step explanation: Y intercept is when the x value is equal to 0. Find the value in the table where the x value is 0 and then look at the h(x) value or the y value to find the answer. In this case the point where x=0 h(x) = 2.

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3 years ago

Line FG is represented by the equation 8x+3y=10. Which value is the slope of a line perpendicular to line FG

Naddika [18.5K]

Answer:

The correct answer is 3/8

Step-by-step explanation:

It was in my practice and I had gotten it correct.

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3 years ago

Which statement best describes Marcos equation

satela [25.4K]

Marco's equation is correct. Cosine is an even function, which means that for every x, f(-x) = f(x). In other words, you get the same answer for a negative value that you would for its corresponding positive value.

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3 years ago