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Show that sin(pi/n)+sin (3pi/n)+sin (5pi...

Show that `sin(pi/n)+sin (3pi/n)+sin (5pi/n)+….n terms=0`

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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. Prove that sin 6^@ sin 42^@sin 66^@sin 78^@=1/16

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  2. if 0ltalpha,beta,gamma lt(pi/2) prove that sin alpha+sin beta+sin gamm...

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  3. Show that sin(pi/n)+sin (3pi/n)+sin (5pi/n)+….n terms=0

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  4. .(tantheta +sectheta-1)/(tantheta -sectheta+1)=

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  5. If sectheta=sqrt2 and (3pi)/2ltthetalt2pi. Then the value of (1+tanthe...

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  6. (cosec(2pi+theta)cos(2pi+theta)tan(pi/2+theta))/(sec(pi/2+theta)costhe...

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  7. In triangle ABC, right angled at C, (tanA+tanB) equal to

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  8. If sintheta and costheta are the roots of the equation ax^2-bx+c=0, th...

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  9. (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=

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  10. If tanbeta=(2sinalphasingamma)/sin(alpha+gamma), then cotalpha,cotbeta...

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  11. If(1+tan1^@)(1+tan2^@)....(1+tan45^@)=2^n, then the value of n is

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  12. If alpha+beta =(pi/2) and beta+gamma=alpha, then the tanalpha equals:

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  13. If sec(theta+alpha)+sec(theta-alpha)=2/costheta. then cos^2theta is eq...

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  14. If tanA=(1-cosB)/sinB, then

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  15. If m and M be the minimum and maximum value of 10 cos^2x-6sinxcosx+2si...

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  16. 3(sinx-cosx)^4+6(sinx+cosx)^2+4(sin^6x+cos^6x) is equal to

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  17. If tanx=(b/a), then acos2x+bsin2x is equal to

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  18. tan9^@-tan27^@-tan63^@+tan81^@ is equal to

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  19. (1+sintheta-costheta)/(1+sintheta+costheta)=

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  20. The number of ordered pairs (alpha,beta), where alpha,betain(-pi,pi) s...

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