Question
Download Solution PDFयदि 2 sinθ + 2 sin2θ = 2 है, तो 2 cos4θ + 2 cos2θ का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
2 sinθ + 2 sin2θ = 2
प्रयुक्त अवधारणा:
sin2 θ + cos2 θ = 1
गणना:
2 sinθ + 2 sin2θ = 2
⇒ sinθ + sin2θ = 1
⇒ sin θ + 1 - cos2 θ = 1
⇒ sin θ = cos2 θ
⇒ cos4 θ = sin2 θ
इसलिए,
2 cos4θ + 2 cos2θ = 2 sin2 θ + 2 sin θ
⇒ 2
∴ अभीष्ट उत्तर 2 है।
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