Question icon
Grade 10Trigonometry

if sinx+sin2x+sin3x=1, then prove that cos6x-4cos4x+8cos2x= 4 .This is the hardest question and I ...

Profile image of Niraj
9 Years agoGrade 10
Answers icon

1 Answer

Profile image of kanha kasniya
9 Years ago
Sin(x) +sin^3(x) = 1-sin^2(x) => sin^2(x)[1+sin^2(x)]^2=cos^4(x)=> [1-cos^2(x)][2-cos^2(x)]^2=cos^4(x)Cos^6(x) - 4cos^4(x) + 8cos^2(x) = 4