cos(450° + a) = cos(360° + 90° + a) = cos(90° + a) (2 четверть) = sin(a)
2cos(450° + a) - sin(a) = 2sin(a) - sin(a) = sin(a)
[tex] \sin( \frac{7\pi}{6} ) = \sin(\pi + \frac{\pi}{6} ) = - \sin( \frac{\pi}{6} ) = - 0.5[/tex]
-0,5 - 1 = - 1,5
Ответ: 2) [ - 2 ; - 1 )
4cos²a = 1
cos²a = 1/4
sin²a + cos²a = 1
sin²a = 1 - cos²a = 1 - 1/4 = 4/4 - 1/4 = 3/4
4sin²a = 4 × 3/4 = 3
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Answers & Comments
1.
cos(450° + a) = cos(360° + 90° + a) = cos(90° + a) (2 четверть) = sin(a)
2cos(450° + a) - sin(a) = 2sin(a) - sin(a) = sin(a)
2.
[tex] \sin( \frac{7\pi}{6} ) = \sin(\pi + \frac{\pi}{6} ) = - \sin( \frac{\pi}{6} ) = - 0.5[/tex]
-0,5 - 1 = - 1,5
Ответ: 2) [ - 2 ; - 1 )
3.
4cos²a = 1
cos²a = 1/4
sin²a + cos²a = 1
sin²a = 1 - cos²a = 1 - 1/4 = 4/4 - 1/4 = 3/4
4sin²a = 4 × 3/4 = 3