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BARSIC [14]
3 years ago
5

Given that sinθ=12/13 , what is cosθ ? enter your answer, as a simplified fraction, in the boxes. cosθ=

Mathematics
2 answers:
Elina [12.6K]3 years ago
4 0
I Just Took The Quiz the answer is 5/13
Viefleur [7K]3 years ago
4 0

Use the identity,

\sin^2 \theta+\cos^2 \theta=1\\ \cos \theta=\pm\sqrt{1-\sin^2 \theta}.

Here \sin \theta=\frac{12}{13} \\ 1-\sin^2 \theta=1-(\frac{12}{13} )^2\\ \cos^2 \theta=\frac{25}{169} \\ \cos \theta=\pm \sqrt{\frac{25}{169} } \\ \cos \theta=\pm \frac{5}{13}

When \sin \theta is positive \cos \theta can be positive or negative.

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Suppose a triangle has sides a, b, and c, and let theta be the angle opposite the side length a. If cos theta < a, what must
Roman55 [17]
Cosine rule: a^2<span> = b^</span>2<span> + c^</span>2<span> - 2bc </span>cos<span> A
-> a^2 > b^2 + c^2 - 2bca
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3 0
3 years ago
In a school one-third of all 240 students play soccer. Forty four students play both soccer and basketball and sixty students do
stiv31 [10]

Answer:

100 students play only basketball.            

Step-by-step explanation:

We are given the following information in the question:

Total number of students in school = 240

Number of students that play soccer =

\dfrac{1}{3}\times \text{Total number of students}\\\\=\dfrac{1}{3}\times 240 = 80

n(S) =80

n(S\cap B) = 44

n(S'\cap B') = 60

Formula:

n(S\cup B) = \text{Total} - n(S' \cap B')\\n(S\cup B) = n(S) + n(B) - n(S\cap B)

Putting the values, we get,

n(S\cup B) =240-60=180\\n(S\cup B) = 180 = 80 - 44 + n(B)\\n(B) = 180 - 80 + 44= 144

Thus, 144 students play  basketball.

Out of these 144, 44 plays soccer as well.

\text{Student only playing basketball} = 144 -44 = 100

Thus, 100 students play only basketball and not soccer.

7 0
4 years ago
Show 5x12 usin g the distributive property
gtnhenbr [62]
5 * 12

=5(10+2)

=50+10

=60
5 0
3 years ago
If f(x)=2(x)2 +5w/(x+2)<br> (2) =<br> F(2)=
astra-53 [7]

Answer:

16+5w/4

Step-by-step explanation:

6 0
3 years ago
How much should you invest at 2.1% simple interest in order to earn $85 interest in 7 months?​
Natasha_Volkova [10]

Answer:

$6938.78

Step-by-step explanation:

Interest = Principal x Rate x Time (in years)

let 'P' = Principal

85 = P × .021 × \frac{7}{12}

85 = .01225P

85 / .01225 = P

6938.78 = P

3 0
3 years ago
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