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Prove that cos A + cos((4pi)/3 -A) + cos...

Prove that `cos A + cos((4pi)/3 -A) + cos ((4pi)/3 + A) = 0`.

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Prove that cos ^(2) x + cos ^(2) (x + (pi)/(3)) + cos ^(2) (x - (pi)/(3)) = 3/2.

If A is not an integral multiple of (pi) , prove that cos A cos 2A cos 4A cos 8A =(sin 16A)/(16 sin A) Hence deduce that cos. (2pi)/(15). Cos. (4pi)/(15) .cos. (8pi)/(18). Cos. (16pi)/(15)=(1)/(16)

Prove cos ((pi)/(4) - x) cos ((pi)/(4) -y) - sin ((pi)/(4) -x) sin ((pi)/(4) -y) = sin ( x +y)

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(C)
  1. Prove that tan72^(@)=tan18^(@)+2tan54^(@).

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  2. Prove that sin750^(@)cos480^(@)+cos120^(@)cos60^(@)=(-1)/2

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  3. Prove that cos A + cos((4pi)/3 -A) + cos ((4pi)/3 + A) = 0.

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  4. Prove that cos^(2)theta+cos^(2)((2pi)/(3)+theta)+cos^(2)((2pi)/(3)-the...

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  5. Find the value of sin^(2)82 1/2-sin^(2)22 1/2.

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  6. Find the value of cos^(2)112 1/2-sin^(2)52 1/2.

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  7. Evaluate sin^(2)((pi)/(8)+(theta)/(2))-sin^(2)((pi)/(8)-(theta)/(2))

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

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

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

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

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

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

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

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

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

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

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

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

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

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