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2 years ago

19. What are the values of a and bin each right triangle? Explain.

Mathematics

1 answer:

frutty [35]2 years ago

6 0

Can’t understand your question

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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.

6 0

3 years ago

(2x-3)(3x+4) Pls help urgent

Klio2033 [76]

6x²-x-12
Use the foil method to multiply each term and then simplify

6 0

1 year ago

Read 2 more answers

Ages Number of students

Doss [256]

Answer:

35 is the answer

Step-by-step explanation:

4 0

2 years ago

Find the median of 30 , 40, 35, 50 and 55 degrees angle measures

ELEN [110]

We know that
the median is the middle number when listed in order from least to greatest.

step 1
listed in order from least to greatest
[30,40, 35, 50, 55]--------> [30, 35, 40, 50, 55]

step 2
find the middle number

the middle number is 40

therefore

the answer is
the median is 40°

6 0

3 years ago

Permudahkan setiap yang berikut

neonofarm [45]

Answer:

Step-by-step explanation:

$\frac{4^{2}*4^{5} }{(4^{6})^{2}}=\frac{4^{2}*4^{5} }{4^{12}}\\\\=4^{2+5-12}=4^{-5}\\\\ =\frac{1}{4^{5}}$

5 0

3 years ago