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ICSE Class X Question Bank 2023-TRIGNOMENTRY : Mathematics : Trignomentry (DR C.L.METHA SISHYA OMR SCHOOL)

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Feroz Khan
Dr. C. L. Metha Sishya OMR School (CLM), Thoraipakkam
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MATHEMATICS PHYSICS Board Topic Class 1. Prove that 1 tan A 1 1 = cosA - 1 + 12 2. If sin =13, 0 < < 90 , find the value of: 3. If 7sin A + 3cos A = 4, show that tan A = sin cos 2 sin .cos 1 x 1 3 4. If sin A = cos A, find the value of 2tan A + sin A 1 5. Show that cosec tan (90 ) = sin + sin (90 ). 6. ABC is a triangle right angled at C and AC = 3 BC. Prove that ABC=60 7. If tan(A B) = 1 3 and tan (A + B) = 3, find A and B 1 8. In an acute angled triangle ABC, if sin (A + B C) = 2and cos (B + C A) = 1 find A, 2 B and C 9. If cos -sin = 2 sin ,prove that cos + sin = 2 cos 10. Prove that: (1 + cot A cosec A) (1 + tan A + sec A) = 2. 11. Prove that: sin (1 + tan ) + cos (1 + cot ) = sec + cosec . 12. If sec A = x + 1 4 , prove that sec A + tan A = 2x or 13. If sec tan = x, show that: sec = 1 +1 2( ) 1 2 and tan = 1 1 2( ) 14. Given that cos(A B) = cos A.cos B + sinA.sinB, find the value of cos 15 in two ways. (a) Taking A = 60 , B = 45 and (b) Taking A = 45 , B = 30 15. Prove that: (sec + tan ) = 16. Evaluate: 4 Cot 30 + cosec +1 cosec 1 1 sin 60 cos 45 17. Evaluate: 4(sin430 + cos460 ) 3(cos 45 -sin 90 ) 18. Prove that 1 1 1 1 = cosecA cotA cosecA+cotA 1 19. In an acute angled triangle ABC, if sin (A + B C) = 2and cos (B + C A) = 20. Determine the value of x such that 2 cosec 30 + x sin 60 - 3 1 A, 2 B and C = 10. 4 tan 30 Head Office: 106-107-108 Lake Homes Shopping Complex, Chandivali IRB Road, Mumbai 400076 T.: 022 4120 3067 E.: info@speedlabs.in MATHEMATICS PHYSICS Head Office: 106-107-108 Lake Homes Shopping Complex, Chandivali IRB Road, Mumbai 400076 T.: 022 4120 3067 E.: info@speedlabs.in

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