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Regina Ewing

Regina Ewing

Answered question

2022-04-12

If sin ( α ) + cos ( α ) = a ,, denote | sin ( α ) cos ( α ) | in terms of a

Answer & Explanation

cartonarepcpo4

cartonarepcpo4

Beginner2022-04-13Added 12 answers

1 + 2 sin α cos α = a 2 ,
which says
2 sin α cos α = a 2 1.
Id set
| sin α cos α | = 1 2 sin α cos α = 1 ( a 2 1 ) = 2 a 2
syaoronsangelhwc17

syaoronsangelhwc17

Beginner2022-04-14Added 4 answers

sin b + cos b = a sin 2 b + 2 sin b cos b + cos 2 b = a 2 2 ( sin 2 b + cos 2 b ) 2 sin 2 b + 2 sin b cos b cos 2 b = a 2 2 ( sin b cos b ) 2 = a 2 2 ( sin b cos b ) 2 = 2 a 2 | sin b cos b | = 2 a 2

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