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Find the value of : sin(75^(@))...

Find the value of :
`sin(75^(@))`

Text Solution

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The correct Answer is:
`(1+sqrt(3))/(2sqrt(2))`
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KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -EXERCISE 3.3
  1. Prove that : cot^(2)((pi)/(6))+cosec((5pi)/(6))+3tan^(2)((pi)/(6))=6

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  2. Prove that : 2sin^(2)((3pi)/(4))+2cos^(2)((pi)/(4))+2sec^(2)((pi)/(3...

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  3. Find the value of : sin(75^(@))

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

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  5. Prove that cos((pi)/(4)-x)cos((pi)/(4)-y)-sin((pi)/(4)-x)sin((pi)/(4...

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

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

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

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  9. Prove that 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)+x)-cos((3pi)/(4)-x)=-sqrt(2)sinx

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

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  12. Prove that cos^(2)2x-cos^(2)6x=sin4xsin8x

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  13. Prove that sin(2x)+2sin(4x)+sin(6x)=4cos^(2)xsin4x

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  14. Prove that cot4x(sin5x+sin3x)=cotx(sin5x-sin3x)

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

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  16. Prove that (sin5x+sin3x)/(cos5x+cos3x)=tan4x

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  17. Prove that (sinx-siny)/(cosx+cosy)=tan((x-y)/(2))

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  18. Prove that (sinx+sin3x)/(cosx+cos3x)=tan2x

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  19. Prove that (sinx-sin3x)/(sin^(2)x-cos^(2)x)=2sinx

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  20. Prove that (cos(4x)+cos(3x)+cos(2x))/(sin(4x)+sin(3x)+sin(2x))=cot(3...

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