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Without using Trigonometric Tables evalu...

Without using Trigonometric Tables evaluate the following :- `(sec^2(90^@-theta)-cot^2theta)/(2[sin^2 25^@+sin^2 65^@]) +(2cos^2 60^@tan^2 28^@tan^2 62^@)/(3[sec^2 43^@-cot^2 47^@]` .

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Without using Trigonometric Tables evaluate the following :- (1/2sec^2 60^@-1/2tan^2 60^@)/(4[cos^2 29^@+cos^2 61^@] .

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Without using Trigonometric Tables evaluate the following :- (sec^2 54^@-cot^2 36^@)/(cosec^2 57^@-tan^2 33^@) +2sin^2 38^@ sec^2 52^@-sin^2 45^@ .

Without using Trigonometric Tables evaluate the following :- 2[(cos^2 20^@+cos^2 70^@)/(sin^2 25^@+sin^2 65^@)]-tan45^@+tan13^@tan23^@tan30^@tan67^@tan77^ @

Without using Trigonometric Tables evaluate the following :- (2cos65^@)/(sin25^@)-(tan20^@)/(cot70^@)-sin90^@+tan5^@tan35^@tan60^@tan55^@tan85^@ .

Without using Trigonometric Tables evaluate the following :- (2cos38^@)/(sin52^@)+(4tan40^@)/(cot50^@)+(12sec66^@)/(cosec24^@)

Without using Trigonometric Tables evaluate the following :- (2cos67^@)/(sin23^@)-(tan40^@)/(cot50^@)-cos0^@+tan15^@tan25^@tan60^@tan65^@tan75^@ .

Without using Trigonometric Tables evaluate the following :- (sin^2 35^@+sin^2 55^@)/(tan10^@tan20^@tan30^@tan70^@tan80^@) .

Without using Trigonometric Tables evaluate the following :- 3((sin36^@)/(cos54^@))^2 -2((tan18^@)/cot72^@)^3+2tan13^@tan21^@tan69^@tan77^@ .

Without using Trigonometric Tables evaluate the following :- ((tan20^@)/(cosec70^@))^2+((cot20^@)/sec70^@)+2tan15^@tan37^@tan53^@tan60^@tan75^@ .

MBD-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. Without using Trigonometric Tables evaluate the following :- (sec^2 5...

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  2. Without using Trigonometric Tables evaluate the following :- sec^2 10...

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  3. Without using Trigonometric Tables evaluate the following :- (sec^2(90...

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  4. If sin 3theta = cos (theta-6^@) where 3theta and theta-6^@ are acute...

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  5. If sin A = cos B, both A and B are acute angles, find A + B.

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  6. If cosec 2A = sec (A + 6^@) where 2A and A + 6^@ are acute angles find...

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  7. If sin 5theta = cos 4theta where 5theta and 4theta are acute angles, f...

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  8. If tan 2theta = cot 4theta where 2theta and 4theta are acute angles. F...

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  9. If cos 3theta= sin (theta - 6^@) where 3theta and theta-6^@ are acute ...

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  10. If A, B, C are interior angles of triangleABC, prove that :- sin((A+C)...

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  11. If A, B, C are interior angles of triangleABC, prove that :- cos((B+C)...

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  12. If A, B, C are interior angles of triangleABC, prove that :- cos^2(A/2...

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  13. If A, B, C are interior angles of triangleABC, prove that :- 1+tan^2((...

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  14. If A, B, C are interior angles of triangleABC, prove that :- 1+cot^2((...

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  15. If A, B, C are interior angles of triangleABC, prove that :- tan((A+B...

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  16. Match the following : .

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  17. Prove that sec A (1 -sin A) (sec A + tan A) =1.

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  18. Prove the following : (cot A - cos A)/(cot A + cos A)= (cosec A -1)/(c...

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  19. Prove the following : (sintheta-costheta+1)/(sintheta+costheta-1)=(1)/...

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  20. Prove the following : tan^2A-tan^2B=(sin^2A-sin^2B)/(cos^2Acos^2B) .

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