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If cos x + cos y- cos(x +y) = 3/2 then x...

If `cos x + cos y- cos(x +y) = 3/2` then x=y is possible.

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A DAS GUPTA-Circular Functions, Identities -Exercise
  1. If a1 +a2cos 2x + a3sin^(2)x = 0 be true for all x then a1, a2 and a3...

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  2. The maximum value of 5cos theta + 12 sin theta is 17. Given statement ...

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  3. If cos x + cos y- cos(x +y) = 3/2 then x=y is possible.

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  4. If x = rsin theta*cos phi, y = rsin theta*sin phi and z = rcos theta ...

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  5. The minimum value of 3cos x + 4sin x + 5 is 0. Given statement is true...

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  6. tan 22 1^circ/2 is a root of the equation - (1+x^(2))/(1- x^(2)) = sq...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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