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3 years ago

How do i find x and y?

Mathematics

2 answers:

mario62 [17]3 years ago

8 0

Answer:

y=65

x=50

Step-by-step explanation:

exterior angle of a triamgle is equal to sum of two interior angles

2y=130(as it is isosceles triangle)

y=65

we know y+y+x=180(sum of all angles of triangle)and (vertically opposite angle)

therefore, x=50

Zielflug [23.3K]3 years ago

6 0

Answer:

x=50°

y=65°

Step-by-step explanation:

I guess it would be better if there were alphabets representing each vertices otherwise it would difficult for you to understand

Let's take the point of intersection as O

Since It is a straight line(on both sides of O)=180°

Therefore x=180°-130°=50°

In the second triangle the angle at the top = 50° because x and that angle are vertically opposite to each other and therefore are equal

When the two sides of a triangle are equal, The base angles are always equal

Second triangle is 180°

The top angle is 50°

the base angles (which y and the angle below it)

is equal to 180°-50°=130°

Since base angles are equal and their sum is 130°, One base angle which is Y = 130°÷2=65°

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Read 2 more answers

Use your understanding of the unit circle and trigonometric functions to find the values requested.

vfiekz [6]

Answer:

a) For this case we can use the fact that $sin (\pi/3) = \frac{\sqrt{3}}{2}$

And for this case since we ar einterested on $-\frac{\pi}{3}$ and we know that the if we are below the y axis the sine would be negative then:

$sin (-\pi/3) = -\frac{\sqrt{3}}{2}$

b) From definition we can use the fact that $tan x= \frac{sin x}{cos x}$ and we got this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}$

We can use the notabl angle $\pi/4$ and we know that :

$sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}$

Then we know that $5\pi/4$ correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1$

Step-by-step explanation:

For this case we can use the notable angls given on the picture attached.

Part a

For this case we can use the fact that $sin (\pi/3) = \frac{\sqrt{3}}{2}$

And for this case since we ar einterested on $-\frac{\pi}{3}$ and we know that the if we are below the y axis the sine would be negative then:

$sin (-\pi/3) = -\frac{\sqrt{3}}{2}$

Part b

From definition we can use the fact that $tan x= \frac{sin x}{cos x}$ and we got this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}$

We can use the notabl angle $\pi/4$ and we know that :

$sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}$

Then we know that $5\pi/4$ correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1$