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Evaluate : sin 75^@, cos 75^@, tan 75^...

Evaluate :
`sin 75^@, cos 75^@, tan 75^@`.

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Prove that : tan 75^@+ cot 75^@=4 .

Prove that : cos 105^@ + cos 15^@= sin 75^@- sin 15^@ .

Evaluate : tan 15^@ tan25^@tan60^@tan65^@tan75^@ .

Find the value of : sin 75^@

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Evaluate : |{:(cos15^(@) sin 15^(@) ),(sin 75^(@) cos 75^(@)):}| .

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Show that the function f(x) = cos (x/2+pi/4) is periodic and find its ...

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  2. Evaluate : sin 15^@, cos 15^@, tan 15^@.

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  3. Evaluate : sin 75^@, cos 75^@, tan 75^@.

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  4. Prove that : sin 105^@ + cos 105^@=1/sqrt2.

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  5. Prove that : cos 105^@ + cos 15^@= sin 75^@- sin 15^@ .

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  6. Find tan 15^@ and hence show that tan 15^@+ cot 15^@ = 4.

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  7. Evaluate : sin^2 (15^@ + A) - sin^2 (15^@ -A).

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  8. Write down the values of : cos 68^@ cos 8^@ + sin 68^@ sin 8^@.

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  9. Write down the values of : cos 70^@ cos 10^@ + sin 70^@ sin 10^@.

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  10. Prove that : cos 130^@ cos 40^@+ sin 130^@ sin 40^@= 0.

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  11. Prove that : sin (40^@+theta)cos (10^@+theta)-cos (40^@+theta) sin (10...

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  12. Prove the following: sin (n + 1)x sin (n + 2)x + cos (n + 1)x cos (n +...

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  13. Prove that (sin(x+y))/(sin(x-y))=(tanx+tany)/(tanx-tany)

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  14. Prove that (sin(x+y))/(sin(x-y))=(tanx+tany)/(tanx-tany)

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  15. Evaluate : tan frac (13 pi)(12).

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  16. Find the maximum and minimum values of : 15 cos theta-8 sin theta.

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  17. Prove that (sin(B-C))/(cos B cos C)+(sin(C-A))/(cos C cos A)+(sin(A-B)...

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  18. If cos(alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)=-3/2 , prove that ...

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  19. If theta+phi=45^@, prove that (cot theta-1) (cot phi-1) =2.

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  20. If theta - phi=pi/4, prove that : (1 + tan theta)(1-tan phi)=2.

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