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Prove that : cosec 60^@ cot 30^@ tan 60...

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

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

Show that :- 2[cos^4 60^@+sin^4 30^@]-[tan^2 60^@+cot^2 45^@]+3sec^2 30^@=1/4 .

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

Evaluate :- 2sin^2 60^@+cot^2 30^@-tan 45^@ .

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

Prove that : ((sin 0^@+ cos30^@)(sin30^@+tan45^@))/((tan 30^@+ cot 60^@)(sec 60^@-cosec90^@))=9/8 .

Evaluate The following : (5 cos^2 60^@+ 4 sec^2 30^@ -tan^2 45^@)/(sin^2 30^@+ cos^2 30^@)

Show that :- 2[cos^2 45^@+tan^2 60^@]-6[sin^2 45^@-tan^2 30^@]=6 .

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Find the value of the following : 2 sin^2 30^@- 3 cos^2 45^@+ cos^2 ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. 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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  18. Find the value of : cos 210^@.

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

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  20. Find the value of : sin 765^@.

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