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Ch-21 TRIGONOMETRICAL IDENTITIES full chapter in one shot icse Selina mathematics 2024-2025 #icse

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Ques:-13. Prove that:(cosec A-sin A) (sec A - cos A) sec ² A = tan A

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Ques:-12 (ii) sin A/(sec A - 1) + sin A/(sec A + 1) = 2

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Ques:-15. Evaluate without using trigonometric tables, sin ² (28 deg) + sin ² (62 deg) + tan ² (38 d

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Ques:-14. Prove that: (sin theta + cos theta)(tan theta + cot theta) = sec(theta) + cosec(theta)

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Ques:-12. If 0 deg less than A 90 deg find A, if:(i) (cos A)/(1 - sin A) + (cos A)/(1 + sin A) =

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TRIGONOMETRICAL IDENTITIES (ch-21) Ex-TEST YOURSELF QUESTION:(9vi-15)#class10# icse topper 2024-2025

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Ques:-9(viii). cot² A - cot² B = (cos² A - cos² B)/(sin ² A * sin ² B) = cosec ² A - cosec ² B

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Ques:-9(ix). (cot A - 1)/(2 - sec ² A) = (cot A)/(1 + tan A)

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Ques:-Ques:-11. Find A, if 0 deg less than or equal to A less than or equal to 90 deg and :(i) 2 co

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Ques:-9(vi). (sin A + cos A) (sec A + cosec A)= 2 + sec A cosec A

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Ques:-9(vii). ( tan A+cot A)* (cosec A - sin A) * (sec A - cos A) = 1

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Ques:-10. If 4 cos ² A - 3 = 0 and 0 deg is less than or equal to A less than or equal to 90 deg ,

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TRIGONOMETRICAL IDENTITIES (ch-21) Ex-TEST YOURSELF QUESTION:(7-9v) #class 10# icse topper 2024-2025

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TRIGONOMETRICAL IDENTITIES (ch-21) Ex-TEST YOURSELF, QUESTION:(3-6) #class 10# icse topper 2024-2025

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Ques:-1.(e) For acute angles alpha and beta , if alpha greater than beta then : A : (cos alpha) grea

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Ques:-(v) sqrt(sec ² A + cosec ² A) = tan A + cot A

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Ques:-(ii) cot² A / cosecA - 1 - 1 = cosecA

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Ques:-(iv) cos A (1 + cot A) + sin A (1 + tan A) = sec A + cosec A

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Ques:-9 (iii) cos A /(1 + sin A) = secA - tan A

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(i) 1/(sin A - cos A) - 1/(sin A + cos A) = 2 cos A/ (2 sin² A - 1)

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Ques:-Ques:-8. (iv) (sin A + sin B)/(sin A - sin B) + (cos B - cos A)/(sin B + cos A) = 2/(2 sin ²

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Ques:-Prove that:(i) tan(55 deg + x) = cot(35 deg - x) (ii) sec(70 deg - theta) = cosec(20 deg + the

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Ques:-7.(iv) 1/(1 + cos(90 deg - A) + 1/(1 - cos(90 deg - A))= 2 cosec² (90 deg-A)