Question

5√3 sen60° - 7 √2 cos 45° + sen⁴ 30° .

Porfavor y gracias

Answer 1

✔RECORDAR:

$sen60 {}^{o} = \frac{ \sqrt{ 3} }{2} \\ cos {45}^{o} = \frac{1}{ \sqrt{2} } \\ sen {30}^{o} = \frac{1}{2}$

✔REEMPLAZAMOS:

5√3(√3/2 )- 7√2 (1/√2 ) + (1/2)⁴

5×3/2 - 7 + 1/16

15/2 -7 + 1/16

1/2+1/16

18/32

9/16

Answer 2

Explicación paso a paso:

5√3 sen60° - 7√2 cos 45° + sen⁴30°

(5√3)(√3/2) - (7√2)(√2/2) + (1/2)⁴

[5*(√3)²]/2 - [7*(√2)²]/2 + (1⁴/2⁴)

[5*3]/2 - [7*2]/2 + (1/16)

8*(15)/16 - 8*(14)/16 + 1/16

(120 - 112 + 1)/16

9/16

≈0,5625