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If sin (A-B) =(1)/(2) ,cos (A+B) =(1)/(...

If ` sin (A-B) =(1)/(2) ,cos (A+B) =(1)/(2) ,`where `0^@ lt A +B lt 90 ^(@) and A gt B ` find A and B

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VGS PUBLICATION-BRILLIANT-TRIGONOMETRY-EXERCISE
  1. Show that sqrt (sec^2 O/ + cosec^2 O/) = tan O/ + cot O/

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  2. Prove that sqrt ((1 - sin O/)/(1 + sin O/ )) = sec O/ - tan O/

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  3. If sin (A-B) =(1)/(2) ,cos (A+B) =(1)/(2) ,where 0^@ lt A +B lt 90 ^(...

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  4. If x = a sec O/ and y = b tan O/ then prove that x^2/a^2 - y^2/b^2...

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  5. Prove that sqrt((cosec A + 1)/(cosec A - 1)) - sqrt((cosec A - 1)/(co...

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  6. If A, B, C are interior angle of triangle ABC then show that sin ((...

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  7. What can you say about the values of sin A and cos A as the measure of...

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  8. Find measure of the angle A and B, if cos ( A - B ) = sqrt3/2 and sin ...

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  9. tan^(2) 60^(0) + cot^(2) 30^(0) //sin^(2) 30^(0) + cos^(2) 60^(0) విలు...

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  10. Prove that 1/sin^2 O/ - cot^2 O/ = 1

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  11. If cosec (A+B) =1 and cot (A-B) = sqrt3, 0^o < A+B < 90^o, A>B then ...

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  12. Find the value of (sec 15^o/(cosec 75^o)) + (sin 72^o/cos 18^o) - (ta...

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  13. If cot O/ = 9/12 then find the value of (sin O/ + cos O/)/(sin O/ - ...

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  14. Evaluate (tan^2 60 + 4 cos^2 45 + 3 sec^2 30 + 5 cos^2 90)/(cosec 30 ...

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  15. If sin O//(1-cos O/) + sin O//(1+cosO/) = 4 (0^o < O/ < 90^o) then ...

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  16. Prove that (1+tan^2 O/) + (1+1/tan^2 O/) = 1/(sin^2 O/ - sin^4 O/)

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  17. If cotA=5/12 then sinA+cosA = ………………

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  18. Which of the following is not possible value for sin x …………

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  19. Which of the following in NOT defined?

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  20. If sinA=24/25then cotA

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