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Show that cos^4""pi/8+cos^4""(3pi)/8+cos...

Show that `cos^4""pi/8+cos^4""(3pi)/8+cos^4""(5pi)/8+cos^4""(7pi)/8=3/2`

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For A in R , prove that cos""pi/9.cos""(2pi)/9.cos""(3pi)/9.cos""(4pi)/9=1/16

Prove that cos""(2pi)/7.cos""(4pi)/7.cos""(8pi)/7=1/8 .

Show that (1+"cos"pi/9).(1+"cos"(3pi)/9).(1+"cos"(5pi)/9).(1+"cos"(7pi)/9)=9/16

Show that costhetacos(60^(@)+theta)cos(60^(@)-theta)=1/4 cos3theta and hence deduce that "cos"pi/9"cos"(3pi)/9"cos"(5pi)/9"cos"(7pi)/9=1/16 (T.S.MAY-2016)

Show that cos^(2)""(pi)/(10)+cos^(2)""(4pi)/(10)+cos^(2)""(6pi)/10+cos^(2)""(9pi)/10=2 .

"sin"^(4)pi/8" +sin"^(4)(3pi)/8" +sin"^(4)(5pi)/8" +sin"^(4)(7pi)/8=

cos""(2pi)/(15) cos ""(4pi)/(15)""cos(8pi)/(15) cos""(16pi)/(15)=

Show that "cos"(pi)/65"cos"(2pi)/65"cos"(4pi)/65"cos"(8pi)/65"cos"(16pi)/65"cos"(32pi)/65=1/64

SRISIRI PUBLICATION-IPE:MAY-2016(AP)-QUESTIONS
  1. IF overlinea=2overlinei+5overlinej+overlinek,overlineb=4overlinei+move...

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  2. Find the vectors equation of the line passing through the points 2ov...

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  3. Find the area of the parallelogram whose adjacent sides are a=2over...

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  4. Find the period of tan(x+4x+9x+.......+n^2x) (n any positive integer)

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  5. Prove that tan70^(@)-tan20^(@)=2tan50^(@).

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  6. IF sinhx=5, then S.T x=loge(5+sqrt26)

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  7. If A is a non-singular matrix then prove that A^(-1) = (adjA)/(|A|).

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  8. If ABCDEF is a regular hexagon with centre O , then P.T bar(AB)+bar(A...

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  9. Find the equation of the plane passing through the point A=(2,3,-1),B=...

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  10. Show that cos^4""pi/8+cos^4""(3pi)/8+cos^4""(5pi)/8+cos^4""(7pi)/8=3/2

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  11. Solve 4cos^2theta+sqrt3=2(sqrt3+1)costheta

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  12. Sin^(-1)(4/5)+2Tan^(-1)""1/3=

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  13. Prove that cotA+cotB+cotC=(a^2+b^2+c^2)/(4Delta)

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  14. If f: A to B, g:B to C are two bijective functions then prove that gof...

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  15. Using the principle of Mathematical Induction, Show that 49^n+16n-1 is...

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  16. Show that |{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}|=2|{:(a,b,c),...

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  17. Solve the system of equations 2x-y+3z=9,x+y+z=6,x-y+z=2 using Gauss J...

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  18. Find the shortest distance between the skew lines. overliner=(6overl...

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  19. IF A+B+C =pi , then P.T cos^2""A/2+cos^2""B/2+cos^2""C/2=2(1+sin""A/2s...

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  20. In a /\ABC if a = 13,b=14,c=15 then S.T R = (65)/8 , r=4, r(1) = (21)/...

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