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Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
cos (-θ) = cos θ
cos (2nπ - θ) = cos θ
| डिग्री में कोण | 0° | 30° | 45° | 60° | 90° |
| sin | 0 | 1/2 | 1 | ||
| cos | 1 | 1/2 | 0 | ||
| tan | 0 | 1 | अपरिभाषित |
गणना:
हमारे पास है,
⇒
जब तक कोण 0 और 2π के बीच न हो जाए, तब तक 2π का पूरा घुमाव हटा दें।
⇒
जैसा कि हम जानते हैं कि
जैसा कि हम जानते हैं, cos θ का मान 2π या 360° के अंतराल के बाद दोहराता है।
⇒ cos (-1740°) = cos (1740°) [∵ cos (-θ) = cos θ]
हम जानते हैं कि cos (2nπ - θ) = cos θ
चूँकि sin θ और cos θ का आवर्तकाल 360° है।
⇒ cos (1740°) = cos (5 × 360° - 1740°)
⇒ cos (1740°) = cos (1800° - 1740°)
⇒ cos (1740°) = cos (60°)
हम जानते हैं कि, cos 60° = 1/2
⇒ cos (-1740°) = 1/2.
∴
Last updated on Jul 16, 2025
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