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Evaluate :cos^2(pi/8)+cos^2((3pi)/8)+cos...

Evaluate :`cos^2(pi/8)+cos^2((3pi)/8)+cos^2((5pi)/8)+cos^2((7pi)/8)`

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Prove that cos^2( pi/8)+cos^2((3pi)/8)+cos^2 ((5pi)/8)+cos^2 ((7pi)/8)=2.

(cos^4(pi/8))+(cos^4((3pi)/8))+(cos^4((5pi)/8))+(cos^4((7pi)/8)) is

Prove that cos^8(pi/8)+cos^8((3pi)/8)+cos^8((5pi)/8)+cos^8((7pi)/8)=17/16

Find the values: (iv) cos^(2) ((pi)/8) + cos^(2) ((3pi)/8) + cos^(2) ((5pi)/8) + cos^(2) ((7pi)/8)

Find the value of cos^2pi/(16)+cos^2(3pi)/(16)+cos^2(5pi)/(16)+cos^2(7pi)/(16)dot

cos(pi/14) + cos ((3pi)/14) + cos((5pi)/14) =

Evaluate cos^2((pi)/(3))+sin^2((pi)/6)-tan^2((pi)/4)

Find the value of (cos^2pi/16+ cos^2 (3pi)/16+cos^2(5pi)/16+cos^2(7pi)/16) .

Prove that "cos"^(8) (pi)/(8)+ "cos"^8 (3pi)/(8)+"cos"^(8) (5pi)/(8)+"cos"^(8)(7pi)/(8)=(17)/(16) ,

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UNITED BOOK HOUSE-TAKI HOUSE-EXERCISE
  1. Find the value of ((1+sqrt-3)/2)^100+((1-sqrt-3)/2)^100

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  2. If alphaand beta be two roots of the equation (x-a)(x-b)=c then show t...

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  3. Evaluate :cos^2(pi/8)+cos^2((3pi)/8)+cos^2((5pi)/8)+cos^2((7pi)/8)

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  4. If cosalpha+cosbeta=2/3and sinalpha+sinbeta=2/5then find the vvalue of...

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  5. If cosec theta+sectheta=cosecalpha+secalpha,then show that tan ((theta...

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  6. x=2cost+3y=2sint+5 and t=parameter find the locus of the point (x,y)

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  7. Find the equations of a straight line parallel to x-axis and passes th...

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  8. Prove by mathematical induction ,3^(2n+1)+2^(n+2)is divisible by 7,n i...

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  9. Factorise:x^2+y^2+z^2-xy-yz-zx

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  10. Solve :2y^2+3y+8-6i=0

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  11. The sum of first three terms of an arithmetic progression with n terms...

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  12. Show that sqrt3/(sin20^@)-1/(cos20^@)=4

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  13. If tan(alpha+beta)=a+b and tan(alpha-beta)=a-b then show that atanalph...

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  14. Show that,tan7 (1^@/2)=sqrt6-sqrt3+sqrt2-2

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  15. Show that the area of the triangle formed by the lines y = m(1) x + c(...

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  16. Find the co-ordinate of the orthocentre of a triangle whose vertices a...

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  17. If arg ((z-1)/(z+1))=pi/4,, then show that in complex plane, the locus...

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  18. Find the sum of n terms of 12+105+1008+10011+….

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  19. Show that sin^2(x+alpha)+sin^2(x+beta)-2cos(alpha-beta).sin(x+alpha)si...

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  20. If cosalpha=x/(y+z),cosbeta=y/(z+x)and cosgamma=z/(x+y)then show that ...

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