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" sin " (150^(@) + x) + " sin " (150^...

`" sin " (150^(@) + x) + " sin " (150^(@) -x) " = cos x"`

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RS AGGARWAL-TRIGONOMETRIC , OR CIRCULAR, FUNCTIONS-Exercise (15C)
  1. " sin " (150^(@) + x) + " sin " (150^(@) -x) " = cos x"

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  2. " cos x + cos " (120^(@) -x ) + " cos "(120^(@) +x)=0

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  3. " sin " (x-(pi)/(6)) + " cos " (x-(pi)/(3)) =sqrt(3) " sin " x

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  4. " tan " ((pi)/(4) +x) =(1 + tan x)/(1-tan x)

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  5. " tan " ((pi)/(4) -x) =(1 - tan x)/( 1+ tan x)

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  6. Express each of the following as a product :

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  7. Express each of the following as an algebraic sum of sines or co...

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  8. (sin x + sin 3x)/(cos x - cos 3x) = ?

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  9. (sin 7x - sin 5x)/(cos 7x + cos 5x) = tan x

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  10. (sin 5x + sin 3x)/(cos 5x + cos 3x) = tan 4x

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  11. (cos 9x - cos 5x)/(sin 17x - sin 3x) = (-sin 2x)/(cos 10x)

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  12. (sin x + sin 3x + sin 5x)/(cos x + cos 3x + cos 5x) = tan 3x

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  13. (( sin 7x + sin 5x)+(sin 9x + sin 3x))/((cos 7x + cos 5x)+(cos 9x+ cos...

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  14. Prove that: cot" "4x" "(s in" "5x" "+" "s in" "3x)" "=" "cot" "x" "(s ...

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  15. (sin 3x + sin x) sin x + (cos 3x - cos x) cos x =0

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  16. Prove that: (cosx-cosy)^2+(sinx-siny)^2=4sin^2(x-y)/2

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  17. (sin 2x - sin 2y)/(cos 2y-cos 2x) = cot (x+y)

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  18. (cos x + cosy)/(cos y -cos x) = cot ((x+y)/(2)) cot ((x-y)/(2))

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  19. (sinx+siny)/(sinx-siny)=tan((x+y)/2)*cot((x-y)/2)

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  20. Prove that: s in" "3x" "+" "s in" "2x" "" "s in" "x" "=" " 4" "s in" "...

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