Question
Download Solution PDFtan2θ + cot2θ - sec2θ cosec2θ का मान है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
tan2θ + cot2θ - sec2θ cosec2θ
प्रयुक्त अवधारणा:
1. tanα = sinα/cosα
2. cotα = 1/tanα
3. secα = 1/cosα
4. cosecα = 1/sinα
5. (a + b)2 - 2ab = a2 + b2
6. sin2α + cos2α = 1
गणना:
tan2θ + cot2θ - sec2θ cosec2θ
⇒
⇒
⇒
⇒
⇒
⇒ -2
∴ अभीष्ट उत्तर -2 है।
Shortcut Trick
इस प्रश्न को हल करने के लिए मूल्य निर्धारण विधि का प्रयोग करें,
θ = 45° का प्रयोग करें
tan2 θ + cot2 θ - sec2 θ cosec2 θ
⇒ 12 + 12 - (√2)2(√2)2
⇒ 1 + 1 - 4
⇒ 2 - 4 = - 2
∴ इस प्रश्न का सही उत्तर -2 है।
Last updated on Jul 21, 2025
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