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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. If `tan alpha` is an integral solution of the inequation `4x^(2) -16x + 15 lt 0` and `cos beta` is the slope of the bisector of the angle in the first quadrant between the x and y axes then the value of `sin(alpha +beta)* sin(alpha - beta)` =__________.

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A DAS GUPTA-Circular Functions, Identities -Exercise
  1. In the following incomplete sentences fill in the blanks such that the...

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

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

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

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  5. If xcostheta=ycos(theta+(2pi)/(3))=zcos(theta+(4pi)/(3)), then (1)/(x)...

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

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

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

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

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  10. A container is filled with a simple of gas having molecules with speed...

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

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  12. Eliminate theta between cosec theta -sin theta = m and sec theta - cos...

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  13. If cos alpha + cos 2alpha = p,sin alpha + sin 2alpha = q then eliminat...

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  14. If cos alpha = cos beta*cos phi= cos gamma *cos theta and sin alpha = ...

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  15. Eliminate theta between a = cos(theta - alpha), b = sin(theta - beta) ...

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  16. Eliminating alpha from xcos alpha = y cos(alpha +2pi/3) = zcos (alpha ...

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  17. If cos rx + cos ry = ar, r = 1, 2, 3 then prove that 2a1^(3) + a3 = 3...

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  18. Eliminate theta, phi from sin theta + sin phi = a, cos theta+ cos phi ...

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  19. Eliminatetheta from lambda cos 2theta = cos(theta + alpha) and lambda...

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  20. If f(theta) = 1 + sin [pi/4 + theta] + cos (pi/4 + theta). find the ra...

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