Question
Download Solution PDFयदि sinθ + cosθ = 7/5 है, तो sinθcosθ क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFधारणा:
sin2 x + cos2 x = 1
गणना:
दिया हुआ: sin θ + cos θ = 7/5
उपर्युक्त समीकरण के दोनों पक्षों का वर्ग करने पर हमें मिलता है
⇒ (sin θ + cos θ)2 = 49/25
⇒ sin2 θ + cos2 θ+ 2sin θ.cos θ = 49/25
जैसा कि हम जानते हैं कि, sin2 x + cos2 x = 1
⇒ 1 + 2sin θcos θ = 49/25
⇒ 2sin θcos θ = 24/25
∴ sin θcos θ = 12/25Last updated on May 31, 2025
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