If sinx + sin2x + sin3x = 1,then find the value of cos6x - 4cos4x + 8cos2x.
If sinx + sin2x + sin3x = 1,then find the value of cos6x - 4cos4x + 8cos2x.
Deepak , 9 Years ago
Grade 11
Trigonometry> If sinx + sin 2 x + sin 3 x = 1,then find...
1 AnswersVikas TU
Write sinx + sin2x + sin3x = 1, as:
sinx + sin3x = 1 – sin2x
Now squaring both sides,
U would get,
sin^6x + sin^4x + 3sin^2x = 1
and write each sin^2x to (1-cos^2x)
=> (1-cos^2x) ^3 + (1-cos^2x)^2 + 3(1-cos^2x) = 1
- ould get further cos6x - 4cos4x + 8cos2x. value as 1.
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