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olga_2 [115]
3 years ago
10

Please help!! Will give brainliest and more points! (Click on the photo)

Mathematics
1 answer:
Marizza181 [45]3 years ago
7 0

Answer: The answer is 25.

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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

6 0
3 years ago
Please someone help me (NO LINKS) (NO LYING)
romanna [79]
Number one 42 cubes .
6 0
3 years ago
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Multiply 7/8 and 9/10
Ratling [72]
7 times 8 is 56
 9 times 10 is 90
4 0
3 years ago
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train traveling with 100 cars all cars are exact size. the cars are 20 ft long 10ft wide and 10ft tall. how much available volum
jeyben [28]

Find the volume of 1 car by multiplying the length by the width by the height:

Volume of 1 car = 20 x 10 x 10 = 2000 cubic feet.


Now multiply the volume of 1 car by the total number of cars:

2000 x 100 = 200,000 cubic feet total.

3 0
3 years ago
Whats the solutions for f(x)=- x^2-6x-8
poizon [28]

Answer:

x = -4, -2

Step-by-step explanation:

-x² - 6x - 8 = 0

x² + 6x + 8 = 0

x² + 4x + 2x + 8 = 0

x(x + 4) + 2(x + 4) = 0

(x + 4)(x + 2) = 0

x = -4, -2

7 0
3 years ago
Read 2 more answers
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