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What is the simplified form of (1 + cos θ)(1 - cos θ)?(1 + cos θ)(1 - cos θ) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: sin² θसाइन² θ
The correct answer is sin² θ. First use the difference of squares: (1 + cos θ)(1 - cos θ) = 1 - cos² θ. Then apply sin² θ + cos² θ = 1, which gives 1 - cos² θ = sin² θ.सही उत्तर sin² θ है। पहले वर्गों के अंतर का सूत्र लगाएँ: (1 + cos θ)(1 - cos θ) = 1 - cos² θ। फिर sin² θ + cos² θ = 1 से 1 - cos² θ = sin² θ मिलता है।
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