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Amiraneli [1.4K]
1 year ago
9

Given cosine of x is equal to negative square root of 3 over 2 comma what is the value of cos(x π)?

Mathematics
1 answer:
slamgirl [31]1 year ago
7 0

Value of cos(x+π) = \bold{\frac{\sqrt{3} }{2}}

Given cosine of x = -\frac{\sqrt{3} }{2}

i.e., cos(x) =  -\frac{\sqrt{3} }{2}

Also cos(\frac{\pi}{6}) =  \frac{\sqrt{3} }{2}. So x = \frac{\pi}{6}.

We need to find cos(x+π) = cos(\frac{7\pi}{6}).

But its value is not easy to find. So we use trigonometric formulas.

We have the trigonometric formula, cos (x+π) = - cos(x) = -  -\frac{\sqrt{3} }{2} =  \bold{\frac{\sqrt{3} }{2}}

Cos(x+π) lies in the 3rd quadrant. So there cosine has negative values. That is why, cos (x+π) = - cos(x).

Learn more about Cos(x+π) trigonometric formula at brainly.com/question/12243383

#SPJ4

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ArbitrLikvidat [17]

ANSWER


C. 58°


EXPLANATION


The sum of the interior angles of a triangle is 180°.


We sum all the three angles to obtain,


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nicole is flying two kites. she has 104 feet of string out to one kite and 110 feet out to the other kite. the angle formed by t
tankabanditka [31]

Answer:

Step-by-step explanation:

Answer:

48.49 feet

Step-by-step explanation:

The diagrammatic sketch of the details given in the question was attached in the picture below.

From the picture below, the distance between the two kites is represented by (c) and can be calculated by using the cosine angle rule which is illustrated as:

c^2 = a^2 + b^2 -2ab cos \ C

where;

a = 110

b = 104

Cos C = 26°

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c^2 = 110^2 + 104^2 -2(110)(104) cos \ 26 \\ \\  c^2 = 12100 + 10816- 22880 ( 0.8988) \\ \\  c^2 = 22916- 20564.544 \\ \\  c^2 = 2351.456 \\ \\  c= \sqrt{2351.456} \\ \\ \mathbf{ c = 48.49 \ feet}

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