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प्रश्न
The value of `(sin^4θ - cos^4θ)/(sin^2θ - cos^2θ)` is ______.
रिकाम्या जागा भरा
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उत्तर
The value of `(sin^4θ - cos^4θ)/(sin^2θ - cos^2θ)` is 1.
Explanation:
Factor the numerator as (sin2θ – cos2θ)(sin2θ + cos2θ) and cancel the common (sin2θ – cos2θ) for values where it ≠ 0, giving sin2θ + cos2θ = 1.
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पाठ 11: Trigonometric Identities - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [पृष्ठ ११.४४]
