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Vedmedyk [2.9K]
3 years ago
15

The terminal side of an angle measuring pi/6 radians intersects the unit circle at what point?

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
6 0
X = cos(pi/6) = √3/2

y = sin(pi/6) = 1/2

So at point (√3/2, 1/2)
Viktor [21]3 years ago
6 0
ANSWER

It will intersect the unit circle at the point

( \frac{ \sqrt{3} }{2} , \frac{1}{2} )

EXPLANATION

The point
(x = \cos( \theta) ,y=\sin(\theta))
lies on the unit circle.

This explains the reason why
{x}^{2} + {y}^{2} = \cos ^{2} ( \theta) + \sin ^{2} ( \theta)

The right hand side is the Pythagorean identity which simplifies to,

{x}^{2} + {y}^{2} = 1

An angle whose terminal side measures
\frac{ \pi}{6}

will intersect the unit circle at

(x = \cos( \frac{ \pi}{6} ) ,y=\sin( \frac{ \pi}{6} ))

This simplifies to

( \frac{ \sqrt{3} }{2} , \frac{1}{2} )

See diagram

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Lim ln(tan x) as tends to pi/2 from the left
ioda
Let x=\arctan y. Then \tan x=y, and so as x\to\dfrac\pi2^-, you have y\to+\infty. The limit is then equivalent to

\displaystyle\lim_{x\to\frac\pi2^-}\ln(\tan x)=\lim_{y\to\infty}\ln y=\infty
3 0
3 years ago
HELP HELP ME PLZ !!!
nikklg [1K]

Answer:

GK=JK

Step-by-step explanation:

SSS congruency  is side-side-side congruency. We are given that GH=JH and KH=KH, which are both sides.

For SSS, we need 3 pairs of congruent sides. We already have 2 pairs.

The options are:

<G=<J

<H=<H

GK=JK

the first two options, <G=<J and <H=<H are talking about congruent angles. We don't need to know about congruent angles for SSS

GK=JK is talking about a pair of congurent sides. Then, we would have 3 pairs of congruent sides, satisfying the criteria needed for SSS. Therefore, we must know that GK=JK.

Hope this helps!

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2 years ago
The price of gourmet coffee beans at the corner market has increased 10% per year over the past several years if the current cos
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4 0
3 years ago
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Wittaler [7]

Answer:

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Step-by-step explanation:

First subtract 96 from 192, which is 96

then add that to 192 and the missing value is 288

you should also add 96 to 288 just to make sure it gets you to the last number which is 384.

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Adele, Barbara and Colette share $680 in the ratio 9 : 7 : 4. Calculate the amount that Barbara and Collette each receives.
anzhelika [568]

Answer:

​ i hope this helps

Step-by-step explanation:

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