Verified by Ajay Kumar
Find the value of (tan 20°)²/(cosec 70°)² + (cot 20°)²/(sec 70°)² + 2 tan 15° tan 45° tan 75°.
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Answer: B
Using cosec 70° = sec 20° and sec 70° = cosec 20°, the first two terms simplify to sin² 20° + cos² 20° = 1. Also, tan 15° × tan 75° = 1 and tan 45° = 1. Therefore, the expression = 1 + 2 × 1 × 1 = 3.
(tan 20°)²/(cosec 70°)² + (cot 20°)²/(sec 70°)² + 2 tan 15° tan 45° tan 75° का मान ज्ञात करें।
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उत्तर: B
cosec 70° = sec 20° और sec 70° = cosec 20° का प्रयोग करने पर पहले दो पद sin² 20° + cos² 20° = 1 बनते हैं। साथ ही, tan 15° × tan 75° = 1 और tan 45° = 1। इसलिए कुल मान = 1 + 2 × 1 × 1 = 3।
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