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ICSE Class X Question Bank 2025 : Mathematics

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Pratyush KU Mahapatro (Ronit)
St. Joseph's Convent School, Ganjam
10th
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The Brainbox Tutorials- YouTube Channel Trigonometric Identities PYQs (Previous Years Questions) 2010-2023 TRIGONOMETRIC IDENTITIES 1. Prove the following identity: (sin2 -1) (tan2 + 1) + I = 0 [2023] 2. (1 + sin A) (1 sin A) is equal to: (a) cosec2A (b) sin2A (c) sec2A (d) cos2A [2023] 3. Prove that: 1 + 4. Prove that: 5. Prove that: tan2 1+sec = sec (1+sin )2 +(1 sin )2 2cos2 1 1+sin + 1 sin ( 6. Prove the identity: 7. Prove that: 1 1+ [2022 Semester-2] = sec 2 + tan2 [2022 Semester-2] = 2sec 2 [2022 Semester-2] 1 2 1 ) = 2 1+ = [2020] [2020] 8. Prove that: (cosec sin ) (sec cos ) (tan + cot ) = 1 [2019] 9. Prove that 2 + 2 = + [3] [2018] 10. Prove that (1 + cot cosec ) (1 + tan + sec ) = 2 [4] [2018] 11. Prove that: [3] 2 3 2 3 = [2017] 12. Prove that: 13. Prove that cos 1+sin sin 1 cot + = sec [3] + cos 1 tan = cos + sin [3] [2016] [2015] 14. Prove the identity: (sin + cos ) (tan + cot ) = sec + cosec [3] [2014] 15. Show that: 16. 1 1+ = 2 ( 1)2 1+ = 1+ 1 [3] [3] [2013] [2012] 17. Prove that (cosec A sin A) (sec A cos A ) sec2 A = tan A. [4] [2011] -------------------------------------------

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