If sin4x + sin2x = 1, then the value of cos2x + cos4x is\t1 – 2cos6x\t1 – 2sin6x\t1\t0
Sahitya Rankawat , 3 Years ago
Grade 11
Trigonometry> If sin 4 x + sin 2 x = 1, then the value ...
2 AnswersSJ
Last Activity: 3 Years ago
Parth Parekh
Last Activity: 3 Years ago
sin4x+sin2x=1
so,sin2x(sin2x+1)=1
1-cos2x(1-cos2x+1)=1
cos2x(-1+cos2x-1)=1-1
cos2x(cos2x-2)=0
cos2x=0 (or) cos2x-2=0
cosx=0 (or) cosx=
, but it is not possible
because,range of cos=[-1,1]
cos2x + cos4x= (cosx)2+(cosx)4
= (0)2+(0)4
= 0
so,the answer will be zero.
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