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[tex]rezultatu \: calc \: 2sin(30) \: cos(30) - cos(45) \: tg(30) \: este \: [/tex]
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Răspuns :

102533

2sin30⁰cos30⁰-cos30⁰tg45⁰ = ?

sin30⁰ = 1/2 ; cos30⁰ = (√3)/2 ; tg45⁰ = 1

=> 2sin30⁰cos30⁰-cos30⁰tg45⁰ = 2 x 1/2 x (√3)/2 - [(√3)/2] x1 = 0

2sin30⁰cos30⁰-cos45⁰tg30⁰ = ?

cos45⁰ = (√2)/2 ; tg 30⁰ = (√3)/3

2sin30⁰cos30⁰-cos45⁰tg30⁰ =2 x 1/2 x (√3)/2 - [(√2)/2] x (√3)/3 =

(√3)/2 - (√6)/6 = (3√3 - √6)/6 = [3√3(1-√2)]/6 = [(√3)/2](1-√2)