How do I solve the following equation for

Lillianna Sandoval

Lillianna Sandoval

Answered question

2022-04-17

How do I solve the following equation for x?
cos6(2x)+sin6(2x)=58

Answer & Explanation

annieljcddj0

annieljcddj0

Beginner2022-04-18Added 15 answers

a3+b3=(a+b)33ab(a+b)
cos62x+sin62x=(cos22x)3
=13cos22xsin22x
=134(2cos2xsin2x)2
=134(sin24x)
=1341cos8x2
Finally cosy=cosAy=2mπ±A where m is any integer
davelucasnp0j

davelucasnp0j

Beginner2022-04-19Added 16 answers

Using cos2y=12sin2y=2cos2y1
5=(2sin22x)3+(2cos22x)3
=(1cos4x)3+(1+cos4x)3
=2+2(3cos24x)2cos24x=1
cos8x=0
8x=(2m+1)π2
where m is any integer

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