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In the following incomplete sentences fi...

In the following incomplete sentences fill in the blanks such that the resulting sentences become true. The minimum value of `27^(cos x) + 81^(sin x)` is __

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A DAS GUPTA-Circular Functions, Identities -Exercise
  1. tan 22 1^circ/2 is a root of the equation - (1+x^(2))/(1- x^(2)) = sq...

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  2. If tan theta= 2 is satisfied by alpha, beta then the value of frac{tan...

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  3. Prove that sin 1^circ lt sin 1.

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  4. If sin alpha = -3/5,pi lt alpha lt 3pi/2 then cos alpha/2 = 1/sqrt10

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  5. In the following incomplete sentences fill in the blanks such that the...

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  6. If sin 17^circ *sin 43^circ *sin 77^circ = lambda sin 51^circ then lam...

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  7. In the following incomplete sentences fill in the blanks such that the...

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  8. In the following incomplete sentences fill in the blanks such that the...

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  9. In the following incomplete sentences fill in the blanks such that the...

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  10. If un = 2cos n theta then u1un - u(n-1) is equal to

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  11. If frac {x}{cos theta} = frac {y}{cos(theta -(2pi)/3)} = frac {z}{co...

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  12. If cos alpha + cos beta + cos gamma = 0 then cos 3alpha + cos 3beta + ...

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  13. tan 40^circ + 2tan 10^circ is equal to

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  14. A factor of cos 4theta - cos 4phi is

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  15. The chord AB of a circle subtends an angle of frac {2pi}{3} at a point...

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  16. If sin alpha + cos alpha = lambda then find |sin^(6) alpha - cos^(6) a...

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  17. Let f(theta) = (cos theta+ cot theta)/(sin theta+ tan theta) and the s...

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  18. Prove that sinfrac {pi}{14} is a root of the equation 8x^(3) -4x^(2) -...

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  19. In a convex polygon the interior angles are in AP, the smallest angle ...

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  20. AB and CD are two parallel chords of a circle of radius 6 cm lying on ...

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