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3 years ago

Find the value of x and the value of y.

Mathematics

1 answer:

fomenos3 years ago

7 0

Answer:

Step-by-step explanation:

x is bisecting the baseline (cutting it in 2 halves of 6).

the third angle in the main overall triangle is 60 degrees.

remember, all angles in a triangle always add up to 180 degrees.

so, 180 - 60 - 60 = 60.

that means that all 3 angles are of equal size (60). and that means that all 3 sides must have the same length.

=> y = 12

and now using Pythagoras to calculate the height (x) of the triangle :

y² = x² + 6² (remember, this side is only half the baseline)

12² = x² + 6²

144 = x² + 36

x² = 108

x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)

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Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

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faust18 [17]

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damaskus [11]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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chegg

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