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Questions and answers to Trignometry for class IX

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TRIGONOMETRY Q.1. From the given figure, write down the values of : (i) sin B (ii) tan B (iii) cos C (iv) cot C (v) (sin B cos C + cos B sin C) (vi) (sec 2C tan 2C) Ans. In right-angled ABC, BC = 17 units, AB = 15 units Now, BC 2 = AB2 + AC 2 (Using Pythagoras Theorem) (17)2 = (15)2 + AC2 289 = 225 + AC2 AC2 = 289 225 = 64 = (8)2 AC = 8 units AC 8 AC 8 AC 8 (i) sin B = = (ii) tan B = = (iii) cos C = = BC 17 AB 15 BC 17 AC 8 (iv) cot C = = (v) sin B cos C + cos B sin C AB 15 AC 8 AC 8 sin B = = , cos C = = BC 17 BC 17 AB 15 AB 15 cos B = = , sin C = = BC 17 BC 17 8 8 15 15 sin B cos C + cos B sin C = + 17 17 17 17 64 225 64 + 225 289 = + = = =1 289 289 289 289 BC 17 AB 15 (vi) sec2 C tan 2 C , sec C = = , tan C = = AC 8 AC 8 2 2 289 225 289 225 64 17 15 2 2 = = =1 sec C tan C = = 64 64 64 64 8 8 Math Class IX 1 Question Bank

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