Question

se a-b=pi/2, o valor de y= sena-senb/cosa+cosb é?​

Answer 1

Resposta:

a–b=60°

cos(a–b) =cos60°

cos(a–b)=½

cos(a-b)=cosacosb+senasenb

cosacosb+senasenb=½

(cosa+cosb)²+(sena+senb)²

=cos²a+2coscosb+cos²b+sen²a+2.sena.senb+sen²b

=cos²a+sen²a+cos²b+sen²b+2cosacob+2senasenb

=1+1+2cosacosb+2senasenb

=2+2cosacosb+2senasenb

=2(1+cosacosb+senasenb)

\begin{gathered} = 2.(1 + \frac{1}{2} ) =2.( \frac{2 + 1}{2} ) \\ = 2. \frac{3}{2} = 3\end{gathered}

=2.(1+

2

1

)=2.(

2

2+1

)

=2.

2

3

=3

letra a

Explicação passo-a-passo:

espero que ajude