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If the product (sin1^0)(sin3^0)(sin5^0)(...

If the product `(sin1^0)(sin3^0)(sin5^0)(sin7^0)....(sin 89^0)=1/(2^n)` then the value of `ndot`

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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. If A+B+C=pi, prove that tan^2A/2+tan^2B/2+tan^2C/2geq1.

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  2. Prove that the triangle ABC is equilateral if cotA+cotB+cotC=sqrt3

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  3. If the product (sin1^0)(sin3^0)(sin5^0)(sin7^0)....(sin 89^0)=1/(2^n) ...

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  4. For 0<theta<pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+((m-1)/...

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  5. If (1+sint)(1+cost)=5/4dot Find the value (1-sint)(1-cos t)

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  6. Find the exact value of tan^2(pi/16)+tan^2((3pi)/16) + tan^2((5pi)/16)...

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  7. Period of f(x)=sin^4x+cos^4x is- pi b. pi/2 c. 2pi d. none of these

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  8. Period of sin^2theta is- pi^2 b. pi/2 c. 2pi d. pi

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  9. If y=sec^2theta+cos^2theta,\ theta!=0, then- y=0 b. ylt=2 c. ygeq-2 d....

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  10. The value of (1-tan^2 15^0)/(1+tan^2 15^0)= 1 b. sqrt(3) c. (sqrt(3))...

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  11. If alpha is a root of 25 cos^2theta+5costheta-12=0,pi/2<alpha<pi, , th...

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  12. If sin(alpha + beta) = 1, sin(alpha - beta) = 1/2 then tan(alpha + 2 b...

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  13. If t a ntheta=\ -4/3 then s intheta is- -4/5\ b u t\ not4/5 b. -4/5or4...

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  14. sec^2theta=(4x y)/((x+y)^2) is true if and only if x+y!=0 (b) x=y ,x!...

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  15. If u=a^2cos^2theta+b^2sin^2theta+a^2sin^2theta+b^2cos^2theta then the ...

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  16. piltalpha-betalt3pi,sinalpha+sinbeta=-21/65,cosalpha+cosbeta="-27/65,t...

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  17. If 0ltxltpi and cosx + sinx =1/2 , then tanx is (1) ...

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  18. Let cos(alpha+beta)""=4/5 and let s in(alphabeta)""=5/(13) where 0lt=a...

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  19. If A""=""s in^2x""+""cos^4x , then for all real x : (1) 3/4lt=Alt=1...

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  20. In a DeltaPQR. if 3 sinP +4 cosQ=6 and 4sinQ+3cosP=1, then the angle R...

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