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Bingel [31]
2 years ago
13

If sine theta equals negative square root of three over two and pi less than theta less than three times pi over two, what are t

he values of cos Θ and tan Θ?
cosine theta equals one half, tangent theta equals negative square root of three
cosine theta equals negative one half, tangent theta equals square root of three
Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
7 0

Cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.

<h3>What is angle measurement?</h3>

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given data;

sin(1/2) = π/6

The value of the trignometric function are;

cos(π/6) = (√3)/2

tan(π/6) = 1/√3 = (√3)/3

In the second quadrant, where the cosine and tangent signs are both negative, is the angle of interest.

θ = 5π/6

cos(5π/6) = -(√3)/2

tan(5π/6) = -(√3)/3

Hence. cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.

To learn more about the angle measurement, refer to the link;

brainly.com/question/14684647

#SPJ1

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3 years ago
The weather forecast for the weekend is a 34% chance of rain for Saturday and a 32% chance of rain for Sunday. If we assume that
kaheart [24]

Answer:

P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088

And then replacing in the total probability formula we got:

P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512

And rounded we got P(A \cup B ) = 0.551

That represent the probability that it rains over the weekend (either Saturday or Sunday)

Step-by-step explanation:

We can define the following notaton for the events:

A = It rains over the Saturday

B = It rains over the Sunday

We have the probabilities for these two events given:

P(A) = 0.34 , P(B) = 0.32

And we are interested on the probability  that it rains over the weekend (either Saturday or Sunday), so we want to find this probability:

P(A \cup B)

And for this case we can use the total probability rule given by:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

And since we are assuming the events independent we can find the probability of intersection like this:

P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088

And then replacing in the total probability formula we got:

P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512

And rounded we got P(A \cup B ) = 0.551

That represent the probability that it rains over the weekend (either Saturday or Sunday)

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3 years ago
According to the property √a/√b=√a/b, which choice is equivalent to the quotient below? √35/√7​
Ilya [14]

Answer:

D

Step-by-step explanation:

\frac{\sqrt{35} }{\sqrt{7} } =\frac{\sqrt{5} \times \sqrt{7} }{\sqrt{7} } =\sqrt{5}

4 0
3 years ago
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