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Prove that : cot^2 60^@+ sin^2 45^@+ si...

Prove that :
`cot^2 60^@+ sin^2 45^@+ sin^2 30^@+ cos^2 90^@=13/12`.

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Find the value of the following : 3 sin^2 30^@+ 2 tan^2 60^@- 5 cos^...

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  2. Find the value of the following : 2 sin^2 30^@- 3 cos^2 45^@+ cos^2 ...

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  3. Prove that : cot^2 60^@+ sin^2 45^@+ sin^2 30^@+ cos^2 90^@=13/12.

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  4. Prove that : cosec 60^@ cot 30^@ tan 60^@= 2 sec^2 45^@ cos30^@.

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  5. Prove that : cos^2 30^@, cos^2 45^@, cos^2 60^@ are in A.P.

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  6. Prove that : cot^2 30^@, cot^2 45^@, cot^2 60^@ are in G.P.

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  7. If A= 45^@, verify that : sin 2A =2 sin A cos A .

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  8. If A= 45^@, verify that : cos 2A = cos^2 A - sin^2 A.

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  9. If theta = 30^@, verify that tan 2 theta= (2 tan theta)/(1- tan^2 thet...

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  10. If A= 30^@ and B= 60^@, verify that : sin (A + B) = sin A cos B + co...

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  11. Given tan 2A = (2 tan A)/(1-tan^2A). If tan 30^@= 1/sqrt3, verify that...

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  12. Find the value of theta (0^@ le theta le 90^@) satisfying : tan theta+...

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  13. Find the value of theta (0^@ le theta le 90^@) satisfying : 2 sin^2 th...

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  14. Find the value of theta (0^@ le theta le 90^@) satisfying : 2 cos^2 th...

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  15. If sin theta= 21/29, prove that sec theta+ tan theta= 2 1/2 if theta l...

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  16. What will be the value of the expression sec theta+ tan theta and sin ...

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  17. What will be the value of the expression sec theta+ tan theta and sin ...

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  18. If sin(B +C-A)= cos(C+A-B) =tan (A+B-C)=1, find A, B, C which are posi...

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  19. Find the value of : cos 210^@.

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  20. Find the value of : sin 225^@.

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