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Prove that, 3sin((pi)/(6))sec((pi)/(3)...

Prove that,
`3sin((pi)/(6))sec((pi)/(3))-4sin((5pi)/(6))cot((pi)/(4))=1`.

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KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -PRACTICE WORK
  1. Prove that cos((3pi)/(2)+x)cos(2pi+x).{cot((3pi)/(2)-x)+cot(2pi+x)}=1

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  2. Find the value of sin(135^(@))cosec(225^(@))tan(150^(@))cot(315^(@))

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  3. Prove that, 3sin((pi)/(6))sec((pi)/(3))-4sin((5pi)/(6))cot((pi)/(4))...

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  4. Prove tan((11pi)/(3))-2sin((4pi)/(6))-((3)/(4))cosec^(2)((pi)/(4))+4co...

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  5. Find the value of cos75^(@)

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  6. Find the value of tan75^(@)

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  7. Find the value of sin15^(@)

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  8. Find the value of sec105^(@)

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  9. Prove that, sin(40^(@)+theta)cos(10^(@)+theta)-cos(40^(@)+theta)sin(10...

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  10. Prove that, (tanA+tanB)/(tanA-tanB)=(sin(A+B))/(sin(A-B))

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  11. Prove that, cos^(2)45^(@)-sin^(2)15^(@)=sqrt(3)/(4)

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  12. Prove that, cos105^(@)+cos15^(@)=sin75^(@)-sin15^(@)

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  13. Prove that (tan69^(@)+tan66^(@))/(1-tan69^(@)tan66^(@))=-1

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  14. If sinA=(4)/(5)andcosB=(5)/(13), where 0ltA,Blt(pi)/(2) then find (i) ...

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  15. If x and y are acute angles and cosx=(13)/(14)andcosy=(1)/(7) then pro...

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  16. Prove that, sin^(2)((pi)/(8)+(A)/(2))-sin^(2)((pi)/(8)-(A)/(2))=(1)/...

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  17. Find the value of sin^(2)37(1^(@))/(2)-sin^(2)7(1)/(2)

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  18. Find the value of sin^(2)52(1^(@))/(2)-cos^(2)7(1^(@))/(2)

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  19. Find the value of cos^(2)37(1^(@))/(2)-sin^(2)37(1^(@))/(2)

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  20. Prove that, sin^(2)A+sin^(2)B+cos^(2)(A+B)+2sinAsinBcos(A+B)=1

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