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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. The value of Pi(r=1)^(7)cos.(pi r)/(15) is

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  2. Prove that: s inpi/(14)s in(3pi)/(14)s in(5pi)/(14)s in(7pi)/(14)s in(...

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  3. Which of the following is correct?

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  4. Find the degrees and radians the angle between the hour hand and the ...

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  5. One angle of a triangle is (4x)/3 grades and another is 3x degrees, wh...

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  6. If in a Delta ABC, cot A + cot B + cot C = sqrt(3) . Prove that trian...

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  7. Length of E F is equal to- a.1+sqrt(3)-sqrt(6) b. \ 1+sqrt(3)-sqrt(2) ...

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  8. (log)(A E)((A C)/(C D)) is equal to a.sqrt(2) b. \ 1 c.\ 0 d. -1

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  9. Length of minor a r c(A C)i s- a.10pi b. \ 5pi c.\ 40\ pi/3 d. 20\ pi...

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  10. The value of (3-tan^2A)/(1-3tan^2A)+(3-tan^2B)/(1-3tan^2A)+(3-tan^2...

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  11. If cos(y-z)+cos(z-x)+cos(x-y)=-3/2, prove that cos x + cos y + cos z =...

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  12. Prove that cos 2a=2sin^(2)beta+4cos (alpha+beta)sin alpha sin beta+cos...

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  13. Prove that cosalpha+cosbeta+cosgamma(alpha+beta+gamma)=4cos(alpha+beta...

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  14. It cos(alpha+beta)=4/5,sin(alpha-beta)=5/(13)a n dalpha,beta lie betwe...

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  15. Prove that: s in^4pi/8+s in^4(3pi)/8+s in^4(5pi)/8+s in^4(7pi)/8=3/2

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  16. Prove that: sin6^0cos42^0cos 60^0s in 78^0=1/(16)

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  17. If cos theta = ( cos phi -e)/( 1- e cos phi ) , show that tan ""(th...

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  18. Prove that tan 82 (1(0))/(2)=(sqrt(3)+sqrt(2))(sqrt(2)+1) or cot 7 (...

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  19. Prove that : cosec theta + cosec 2 theta + cosec 2^2 theta +.............

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  20. If alpha+beta=c\ w h e r e\ alpha,beta>0 each lying between 0\ a n d\ ...

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