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

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

Text Solution

Verified by Experts

The correct Answer is:
`(i) (sqrt3+1)/(2sqrt2) `
(ii)` 2- sqrt3`
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NCERT GUJARATI-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. Prove that cos((pi)/(4)-x)cos((pi)/(4)-y)-sin((pi)/(4)-x)sin((pi)/(4...

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

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

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  7. Prove that cos((3pi)/(2)+x)cos(2pi+x).{cot((3pi)/(2)-x)+cot(2pi+x)}=1

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  8. Prove that sin(n+1)xsin(n+2)x+cos(n+1)xcos(n+2)x=cosx

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

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

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  11. cos ^(2) 2x -cos ^(2) 6x = sin 4x sin 8x

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

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  13. cot 4x (sin 5x + sin 3x) = cot x (sin 5x - sin 3x)

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

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

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  16. (sin x - sin y)/( cos x + cos y) = tan ""(x-y)/(2)

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  17. (sin x + sin 3x )/( cos x + cos 3x )= tan 2x

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

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

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  20. cot x cot 2x - cot 2x cot 3x - cot 3x cot x=1

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