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If arcs of same length in two circles su...

If arcs of same length in two circles subtend angles of `60^0a n d75^0` at their centers, find the ratios of their radii.

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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. If arcs of same length in two circles subtend angles of 60^0a n d75^0 ...

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  2. If sintheta+sin^2theta=1, then prove that cos^(12)theta+3cos^(10) thet...

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  3. 2(sin^2theta+cos^2theta)-3(sin^4theta+cos^4theta)+1 is equal to a. ...

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  4. If sintheta=-1/2a n d\ t a ntheta=1/(sqrt(3))t h e n\ theta s equal t...

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  5. Show that sqrt(3)\ cos e c\ 20^0-sec20^0=4.

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  6. Prove that: t a n 70^0=t a n 20^0+2t a n 50^0dot

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  7. If sin2A= lambda sin 2B prove that (tan(A+B)/tan(A-B))=(lambda+1)/(la...

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  8. (sin5theta+sin2theta-sintheta)/(cos5theta+2cos3theta+2cos^2theta+costh...

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  9. Prove that: sin 12^0sin 48^0sin 54^0=1/8dot

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  10. Prove that (2cos2A+1)/(2cos2A-1)=tan(60^0+A)tan(60^0-A)dot

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  11. Prove that :t a n A+tan(60^0+A)+tan(120^0+A)=3t a n3A

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  12. sin (67(1)/2)^(@)+cos(67(1)/2)^(@) is equal to

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  13. The value of sin 78^0-sin 66^0-sin 42^0+sin6^0 is -1 b. 1//2 c. -1//2 ...

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  14. In any triangle A B C ,\ sin A-cos B=cos C ,\ the angle\ B is a.pi...

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  15. If A+B+C=(3pi)/2 , then cos2A+cos2B+cos2C is equal to a.1-4cos Acos...

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  16. Prove that 5costheta+3cos(theta+pi/3)+3 lies between -4 and 10.

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  17. The maximum value of 1+sin(pi/4+theta)+2cos(pi/4-theta) for real value...

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  18. Prove that t a n A+2t a n2A+4t a n4A+8cot8A=cot Adot

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  19. sum(r=1)^(n-1)cos^2((rpi)/n)

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  20. Prove that: (1+sec2theta)(1+sec4theta)(1+sec8theta)(1+sec2^ntheta)=t a...

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