Question

найти значение выражения:cos 135 градусов,sin 8п/3,tg 7п/3,cos^2 (п/8) - sin^2 (2п/8)

Answer 1

1. cos135 = cos(180-45) = cos45 = √2/2

2. sin 8pi/3 = sin(2pi+2pi/3) = sin 2pi/3 = √3/2

3. tg  7pi/3 = tg(2pi+pi/3) = tg pi/3 = √3

 

Answer 2

I can help you with your math questions. To find the value of the expressions, you can use the following formulas:

- $$\cos(135^\circ) = -\frac{\sqrt{2}}{2}$$ - $$\sin(\frac{8\pi}{3}) = -\frac{\sqrt{3}}{2}$$ - $$\tan(\frac{7\pi}{3}) = \frac{\sqrt{3}}{3}$$ - $$\cos^2(\frac{\pi}{8}) - \sin^2(\frac{2\pi}{8}) = \frac{\sqrt{2 + \sqrt{2}}}{2} - \frac{1}{2} = \frac{\sqrt{2 + \sqrt{2}} - 1}{2}$$

You can learn more about these trigonometric functions and identities from [this website](https://www.w3schools.com/python/python_user_input.asp). If you want to practice more problems, you can use [this online calculator](https://stackoverflow.com/questions/37893927/python-how-to-take-user-input-and-use-that-in-function). I hope this helps.