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2sin^2(3pi)/4+2cos^2pi/4+2sec^2pi/3=10...

`2sin^2``(3pi)/4``+2cos^2``pi/4``+2sec^2``pi/3=10`

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MODERN PUBLICATION-TRIGONOMETRY-NCERT(EXERCISE-3.3)
  1. Prove that: 2s in^2pi/6+cos e c^2(7pi)/6cos^2pi/3=3/2

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  2. cot^(2)pi/6+"cosec"(5pi)/(6) + 3tan^(2)pi/6=6

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  3. 2sin^2(3pi)/4+2cos^2pi/4+2sec^2pi/3=10

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  4. Find the value of: "sin"75^(@) "tan"15^(@)

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  5. Prove the following cos(pi/4-x)cos(pi/4-y)-sin(pi/4-x)sin(pi/4-y)=sin...

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  6. (tan(pi/4+x))/(tan(pi/4-x))=((1+tanx)/(1-tanx))^2

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  7. (cos(pi+x)cos(-x))/(sin(pi-x)cos(pi/2-x))=cot^2x

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  8. cos((3pi)/(2) +x) cos(2pi+x)[cot(3pi)/(2)-x+cot(2pi+x)]=1

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  9. sin(n+1)xsin(n+2)x+cos(n+1)xcos(n+2)x=cosx

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  10. Prove that: cos((3pi)/(4)+A)-cos((3pi)/(4)-A)=-sqrt(2)sinA

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  11. sin^(2)6x-sin^(2)4x=sin2xsin10x

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  12. Prove the following cos^(2)2x-cos^(2)6x="sin"4x"sin"8x

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  13. Prove the following "sin"2x+2"sin"4x+"sin"6x=4cos^(2)x"sin"4x

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

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

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  16. Prove the following ("sin"5x+"sin"3x)/(cos5x-cos3x)="tan"4x

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  17. Prove the following ("sin"x-"sin"y)/(cosx+cosy)="tan""(x-y)/(2)

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  18. Prove the following ("sin"x+"sin"3x)/(cosx-cos3x)="tan"2x

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  19. Prove the following ("sin"x-"sin"3x)/("sin"^(2)x-cos3x)=2"sin"x

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  20. Prove that: (cos4x+cos3x+cos2x)/(s in4x+s in3x+s in2x)=cos3x

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