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If (1+t a n1^0). (1+t a n2^0) .(1+t a n3...

If `(1+t a n1^0). (1+t a n2^0) .(1+t a n3^0)......(1+tan45^0)=2^n` , then `' n '` is equal to `16` b. `23` c. `3` 0 d. none of these

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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
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  2. Let p(k)=(1+cos((pi)/(4k)))(1+cos((2k-1)pi)/(4k)) (1+cos""((2k+1)pi)...

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  3. If (1+t a n1^0). (1+t a n2^0) .(1+t a n3^0)......(1+tan45^0)=2^n , the...

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  4. Prove that in an acute angled triangle ABC, the least values of Sigma ...

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  5. In triangle A B C ,\ the est values of sumcos e c(A/2)a n d\ sumsec^2...

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  6. Prove that: cosec xdotcosec2xdot sin4xdotcos6xdotcos e c 10 x=(cos3x)/...

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  7. If t a nalpha=p/q , where alpha=6beta,alpha being acute angle, prove t...

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  9. Q. Prove that from the equality sin^4 alpha/a+cos^4 alpha/b=1/(a+b) fo...

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  10. If P=cos(pi/19)+cos((3pi)/19)+cos((5pi)/19)+....+cos((17pi)/19) and Q=...

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  11. Show that 4sin27^0=(5+sqrt(5))^(1/2)-(3-sqrt(5))^(1/2)

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  12. If A +B+C=pi, prove that tan^(2)""(A)/(2)+tan^(2)""(B)/(2)+tan^(2)""(C...

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  13. If alpha+beta+gamma=pi, prove that : cos^2 alpha + cos^2 beta + cos^2 ...

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  14. In a DeltaABC, if cot A+cot B+cot C=sqrt3. Prove that the triangle is ...

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

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  16. For 0ltthetalt pi/2 the solutions(s) of sum(m=1)^6 cosec (theta+ ((m-1...

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  17. If (1+sint)(1+cot t)=(5)/(4) then find the value of (1-sint)(1-cos t).

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  18. tan^(2)'(pi)/(16)+tan^(2)'(2pi)/(16)+tan^(2)'(3pi)/(16)+tan^(2)'(5pi)/...

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  19. Let x1=prod(r=1)^5cos(rpi)/(11)\ a n d\ x2=sum(r=1)^2cos(rpi)/(11), th...

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  20. The period of the function f(x)=sin^(4)x+cos^(4)x is:

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