Задание 14.1

∘ Упростите выражение:
1) sin ⁡ (π 2 − α); 2) sin ⁡ (π − α); 3) cos ⁡ (−α + 270∘); 4) cos ⁡ (α − 180∘); 5) cos ⁡ 2(3π − α);

6) sin ⁡ (3π 2 + α).

Answers

1.
sin ⁡ (π 2 − α) = cos ⁡ α

2.
sin ⁡ (π − α) = sin ⁡ α

3.
cos ⁡ (−α + 270∘) = cos ⁡ (3π 2 − α) = −sin ⁡ α

4.
cos ⁡ (α − 180∘) = cos ⁡ (180∘− α) = −cos ⁡ α

5.
cos ⁡ 2(3π − α) = (cos ⁡ (3π − α))2 = (cos ⁡ (π − α))2 = (−cos ⁡ α)2 = cos ⁡ 2α

6.
sin ⁡ (3π 2 + α) = −cos ⁡ α

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2021-11-21 05:46
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