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Prove that : cos^2 frac (pi)(8)+ cos^2 f...

Prove that : `cos^2 frac (pi)(8)+ cos^2 frac (3 pi)(8)+ cos^2 frac (5 pi)(8) + cos^2 frac (7 pi)(8) =2`.

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Prove that : sin^2 frac (pi)(8)+ sin^2 frac (3pi)(8)+ sin^2 frac (5pi)(8)+sin^2 frac (7pi)(8)=2 .

Prove that : (1+cos frac (pi)(8)) (1+cos frac (3pi)(8)) (1+cos frac (5pi)(8)) (1+cos frac (7pi)(8))=1/8 .

Prove that : 2 sin^2 frac (3pi)(4)+ 2cos^2 frac (pi)(4) +2 cos^2 frac (pi)(3)= 5/2 .

Prove that : sin^4 frac (pi)(8)+ sin^4 frac (3pi)(8)+sin^4 frac (5pi)(8)+sin^4 frac (7pi)(8)=3/2 .

Prove that : 16 cos frac (2pi)(15) cos frac (4pi)(15) cos frac (8pi)(15) cos frac (16pi)(15) =1.

Prove that : sin^2 frac (pi)(6)+ cos^2 frac(pi)(3)- tan^2 frac(pi)(4)=-1/2 .

Prove that: 2sin^2frac (pi)(6)+cosec^2frac (7pi)(6)cos^2frac (pi)(3)=3/2

Prove that : 3 cos^2 frac (pi)(4)+ sec frac (2 pi)(3)+ 5 tan^2 frac (pi)(3) = 29/2 .

Prove that: 2cos frac (pi)(13)cos frac (9pi)(13)+cos frac (3pi)(13)+cos frac (5pi)(13)=0

Prove that sin frac (pi)(10)+ sin frac (13 pi)(10)=-1/2 .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that : cos^2 frac (pi)(8)+ cos^2 frac (3 pi)(8)+ cos^2 frac (5 p...

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  2. Find the radian measure corresponding to the following degree measure ...

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  3. Find the radian measure corresponding to the following degree measure ...

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  4. Find the radian measure corresponding to the following degree measure ...

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  5. Find the radian measures corresponding to the following degree measure...

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  6. Find the radian measure corresponding to the following grade measure :...

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  7. Find the radian measure corresponding to the following grade measure :...

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  8. Find the radian measure corresponding to the following grade measure :...

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  9. Find thedegree measure corresponding to the following measure. (Use pi...

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  10. Find thedegree measure corresponding to the following measure. (Use pi...

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  11. Find thedegree measure corresponding to the following measure. (Use pi...

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  12. Find thedegree measure corresponding to the following measure. (Use pi...

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  13. The angles of a triangle are3x^@, ((4x)/3)^g and (2 pi x)/75 radians. ...

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  14. Express the radians the fourth angle of a quadrilateral which has thre...

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  15. The sum of two angles is 80 grades and their difference is 18^@. Find ...

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  16. The angles of a triangle are in the ratio 1 : 2: 3. Find the angles in...

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  17. The vertical angle of an isosceles triangle is 2/3 rd of each of its b...

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  18. In a right-angled triangle, the difference between two acute angles is...

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  19. The wheel of a carriage is 91 cm in diameter and makes 5 revolutions p...

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  20. A wheel makes 360 revolutions in one minute. Through how many radians ...

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  21. Find the length of the arc of a circle of radius 5 cm subtending an an...

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