Question 16

Mathematics Trigonometric Equations Medium

If \( \sin ^{2} x+\sin x=1 \) , then \( \cos ^{4} x+\cos ^{2} x= \)

(A) 0
(B) 1
(C) \( 2 / 3 \)
(D) -1
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

\(\sin x = 1 - \sin^2 x = \cos^2 x\).

Then \(\cos^4 x + \cos^2 x = \sin^2 x + \sin x = 1\).

Answer: (B) 1

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