Question

Переведите из градусной меры в радианную: 430°; 450°; 900°; 390°; 33°; 15°10°20°; 85°; 900°; 160°; 200°; 35°; 60°; 760°; 45°; 350°700°:

Answer 1

Умножаем градусную меру на дробь $\frac{\pi}{180}$, а затем сокращаем.

430° = $430*\frac{\pi}{180}=\frac{43\pi}{18}$;

450° =  $450*\frac{\pi}{180}=\frac{5\pi}{2}$;

900° =  $900*\frac{\pi}{180}=5\pi$;

390° =  $390*\frac{\pi}{180}=\frac{13\pi}{6}$;

33° = $33*\frac{\pi}{180}=\frac{11\pi}{60}$;

15° = $15*\frac{\pi}{180}=\frac{\pi}{12}$;

10° = $10*\frac{\pi}{180}=\frac{\pi}{18}$;

20° = $20*\frac{\pi}{180}=\frac{\pi}{9}$;

85° = $85*\frac{\pi}{180}=\frac{17\pi}{36}$;

160° = $160*\frac{\pi}{180}=\frac{8\pi}{9}$;

200° = $200*\frac{\pi}{180}=\frac{10\pi}{9}$;

35° = $35*\frac{\pi}{180}=\frac{7\pi}{36}$;

60° = $60*\frac{\pi}{180}=\frac{\pi}{3}$;

760° = $760*\frac{\pi}{180}=\frac{38\pi}{9}$;

45° = $45*\frac{\pi}{180}=\frac{\pi}{4}$;

350° = $350*\frac{\pi}{180}=\frac{35\pi}{18}$;

700° = $700*\frac{\pi}{180}=\frac{35\pi}{9}$.