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Evaluate: 

(i) tan 7° tan 23° tan60° tan 67° tan 83°

(ii) \(\frac{2sin 68°}{cos 22°} - \frac{2cot 15°}{5tan 75°}- \frac{3tan45° tan20° tan 40° tan 50° tan 70°}{5}\)

(iii) \(\frac{3 cos 55°}{7sin 35°} - \frac{4(cos70° cosec 20°)}{7(tan5° tan25° tan 45° tan 65° tan 85°)}\)

(iv) \(\frac{sin 18°}{cos 72°} + \sqrt3 (tan 10° tan30° tan40° tan 50° tan 80°)\)

(v) \(\frac{cos 58°}{sin 32°} + \frac{sin 22°}{cos68°} - \frac{cos 38° cosec 52°}{tan 18° tan 35° tan 60° tan 72° tan 55°}\)

1 Answer

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Best answer

(i) tan 7° tan 23° tan60° tan 67° tan 83°

tan 7° tan 23° tan60° tan(90°- 23°) tan(90° - 7°)

(ii) \(\frac{2sin 68°}{cos 22°} - \frac{2cot 15°}{5tan 75°}- \frac{3tan45° tan20° tan 40° tan 50° tan 70°}{5}\)

(iii) \(\frac{3 cos 55°}{7sin 35°} - \frac{4(cos70° cosec 20°)}{7(tan5° tan25° tan 45° tan 65° tan 85°)}\)

(iv) \(\frac{sin 18°}{cos 72°} + \sqrt3 (tan 10° tan30° tan40° tan 50° tan 80°)\)

(v) \(\frac{cos 58°}{sin 32°} + \frac{sin 22°}{cos68°} - \frac{cos 38° cosec 52°}{tan 18° tan 35° tan 60° tan 72° tan 55°}\)

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