Question

Jika a = Pi/12 maka sin^6 (Pi/12) + cos^6 (Pi/12) = ...

Answer 1

Jawab:

13/16

Penjelasan dengan langkah-langkah:

a=pi/12

Sin^6(pi/12)+Cos^6(pi/12)=sin^6(a) +cos^6(a)

=(sin²a)³+(cos²a)³

=(sin²a+cos²a)³-3sin²a cos²a(sin²a+cos²a)

=1-3 sin²a cos²a

=1-3[sin(a) cos(a)]²

=1-3[sin(15) cos(15)]²

=1-3[(√6-√√2)/4 (√6+√2)/4 ]²

=1-3[(6-2)/16)]²

=1-3[4/16]²

=1-3[1/4]²

=1-3(1/16)

=1-3/16

=13/16

Answer 2

Jawab:

13/16

Penjelasan dengan langkah-langkah:

Lampiran