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Olyat2002
@Olyat2002
July 2022
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Помогите упростить выражение!!
(1-ctg^2a)sin^2a
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Tema236
=(1-cos^2a/sin^2a)*sin^2a=(sin^2a-cos^2a)sin^2a/sin^2a=sin^2a-cos^2a
9 votes
Thanks 15
Tema236
хотя да
Tema236
можно еще свернуть в -cos^2(2a)
Tema236
извиняюсь
Tema236
-cos(2a)
vadimss
(1-ctg²a)*sin²a=sin²a-sin²a*ctg²a=sin²a-sin²a*cos²a/sin²a(далее сокращаем синус в квадрат)=sin²a-cos²a=1-cos²a-cos²a(по формуле sin²a+cos²a=1)=1-2cos²a=2sin²a
1 votes
Thanks 4
LFP
1-2cos²a НЕ= 2sin²a
LFP
sin²a-cos²a = -(cos²a-sin²a) = -cos(2a)
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