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Vaselesa [24]
4 years ago
14

Please help!! Find the value of x

Mathematics
1 answer:
nevsk [136]4 years ago
5 0

Answer:

x = 62 degrees

Step-by-step explanation:

Since this is a right angle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos x = 3.7/7.9

Taking the inverse cos of each side

cos ^ -1 ( cos x) = cos ^-1 (3.7/7.9)

x =62.07246803

To the nearest degree

x = 62 degrees

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First move the (Y) to the other side of the equal sign,
- y - 15 = - 62
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Since a variable can't be negative just divide by (-1) on both sides,
\frac{ - y}{ - 1} = \frac{ - 47}{ - 1}
The answer would be,
y = 47
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Factor completely. n ^4 - 1
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Arrange the given the decimals in ascending order from least to greatest ​
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If sin θ = 1/2 , then find the value of (sin 3 θ)/(1+ cos 2 θ)<br>​
Ipatiy [6.2K]

<u>EXPLANATION</u><u>:</u>

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

<u>Answer</u> : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> If sin Θ = 2/3 and tan Θ < 0, what is the value of cos Θ?

brainly.com/question/12618768?referrer

if cos θ -sin θ =1, find θ cos θ +sin θ?

brainly.com/question/88125?referrer

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