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(cos 2x sin x + cos 6x sin 3x)/(sin 2x s...

`(cos 2x sin x + cos 6x sin 3x)/(sin 2x sin x + sin 6x sin 3x) =cot 5x`

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RS AGGARWAL-TRIGONOMETRIC , OR CIRCULAR, FUNCTIONS-Exercise (15C)
  1. (sin x + sin 3x)/(cos x - cos 3x) = ?

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

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

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

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

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

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

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

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

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

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

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

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

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  14. (cos 4x sin 3x -cos 2x sin x )/(sin 4x sin x+ cos 6x cos x)= tan 2x

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  15. (cos 2x sin x + cos 6x sin 3x)/(sin 2x sin x + sin 6x sin 3x) =cot 5x

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  16. The value of sin 10^(@) sin 30^(@) sin 50^(@) sin 70^(@) is

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  17. sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) =(3)/(16)

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  18. cos 10^(@) cos 30^(@) cos 50^(@) cos 70^(@) =(3)/(16)

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  19. If cos x + cos y =(1)/(3) and sin x + sin y=(1)/(4) prove that tan...

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  20. Prove that (i) " 2 cos " 45^(@) " cos " 15^(@)=((sqrt(3)+1))/(2) "...

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