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If A + B + C = 90^(@) and if none of A,B...

If A + B + C = `90^(@)` and if none of A,B,C is an odd multipl of `90^(@)` then P.T.
Tan A Tan B + Tan B Tan C + Tan C Tan A = 1 and hence S.T.

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(C)
  1. Evaluate sin^(2)((pi)/(8)+(theta)/(2))-sin^(2)((pi)/(8)-(theta)/(2))

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  2. Find the value of cos^(2)52(1^@)/(2) - sin^(2)22 (1^@)/2

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  3. Find the maximum and minimum value of f(x)=3cosx+4sinx

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  4. Find the minimum and maximum values of sin2x-cos2x

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  5. Find the range of 7 cos x - 24 sin x +5

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  6. Find the range of 13cosx+3sqrt3 sin x-4

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  7. If cos alpha = (-3)/5 and sin beta = 7/25 where (pi)/2 lt alpha lt pi ...

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  8. If 0 lt A lt B lt (pi)/(4) and sin (A+B)=(24)/(25) and cos (A-B)= (4)/...

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  9. If A+B, A are acute angles such that sin (A+B)=(24)/(25) and tan A=(3)...

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  10. If tan alpha - tan beta =m and cot alpha - cot beta =n, then prove tha...

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  11. If tan (alpha- beta )= (7)/(24) and tan alpha =(4)/(3), where alpha an...

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  12. Find the expansion of sin(A+B-C).

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  13. Find the expansion of cos(A-B-C).

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  14. In a Delta ABC, A is obtuse. If sin A=(3)/(5) and sin B=(5)/(13), the...

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  15. If (sin(alpha+beta))/(sin(alpha-beta)) = (a+b)/(a-b), then prove that ...

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  16. If A-B=(3pi)/(4), that show that (1- tan A) (1+tan B)=2

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  17. If A+B+C= pi//2 then show that cot A + cot B+ cot C=cot A cot B cot C

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  18. If A + B + C = 90^(@) and if none of A,B,C is an odd multipl of 90^(@)...

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  19. Prove that sin^(2)alpha+cos^(2)(alpha+beta)+2sinalphasinbetacos(alpha+...

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  20. Prove that cos^(2)(alpha-beta)+cos^(2)beta-2cos(alpha-beta)cosalphac...

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