2 x = 1, then cos4 x + cos2 x is..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep."> 2 x = 1, then cos4 x + cos2 x is..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." /> 2 x = 1, then cos4 x + cos2 x is..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." />
If sin x + sin<sup>2</sup> x = 1, then cos<sup>4</sup> x + cos<sup>2</sup> x is equal to:
\(\sin x + \sin^2 x = 1 \Rightarrow \sin x = 1 - \sin^2 x = \cos^2 x\)
Then \(\cos^4 x + \cos^2 x = (\cos^2 x)^2 + \cos^2 x = \sin^2 x + \sin x = 1\)
Answer: (B) 1
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