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Trigonometric Ratios and Identities

Showing 48 of 298 · 298 total
  1. 251.The number of x[0,2] for which |√24x+18^2x - √24x+18^2x| = 1 is:
  2. 252.If + = √32 and + = 12, and is the arithmetic mean of and , then 2+2 is equal to:
  3. 253.Let f_k(x) = 1k(^kx+^kx) where xR and k1.
  4. 254.If 2+=1, 2, then 7+6 is equal to:
  5. 255.If = p+qp-q (p q0), then (4+2) is equal to:
  6. 256.The number of values of in [0,2] for which 2^3 - 7^2+7=2, is:
  7. 257.The expression A1- A+ A1- A can be written as:
  8. 258.Let A= : = and B= : =1 be two sets.
  9. 259.The number of solutions of the equation 2x-2 x+4 x=4 in the interval [0,5] is:
  10. 260.Statement-1: The number of common solutions of the trigonometric equations 2^2-2=0 and 2^2…
  11. 261.The value of 255^+195^ is:
  12. 262.Let f(x)= x, g(x)=x.
  13. 263.The equation e^ x - e^- x - 4 = 0 has:
  14. 264.If A=^2x+^4x, then for all real x:
  15. 265.The possible values of (0,) such that +4+7=0 are:
  16. 266.Let (+)=45 and (-)=513 where 0,4.
  17. 267.Let A and B denote the statements: A: ++=0; B: ++=0.
  18. 268.If p and q are positive real numbers such that p^2+q^2=1, then the maximum value of (p+q) …
  19. 269.A triangular park is enclosed on two sides by a fence and on the third side by a straight …
  20. 270.If 0<x< and x+ x = 12, then x is:
  21. 271.The number of values of x in the interval [0,3] satisfying the equation 2^2x+5 x-3=0 is:
  22. 272.If u = a^2^2+b^2^2 + a^2^2+b^2^2, then the difference between the maximum and minimum valu…
  23. 273.Let , be such that <-<3.
  24. 274.The function f(x) = (x+x^2+1) is:
  25. 275.The period of ^2 is:
  26. 276.Which one is not periodic?
  27. 277.The number of solutions of x+ x = 2 x in [0,2) is:
  28. 278.If [0 < x < ] and [ x + x = 1 2,] then [ x] is :
  29. 279.Let [ ( + ) = 4 5] and [ ,,,( - ) = 5 13,] where [0 ,, 4.] Then [tan,2 ] =
  30. 280.If [A = ^2x + ^4x,] then for all real x:
  31. 281.Let [f_k( x ) = 1 k( ^kx + ^kx )] where [x R] and [k ,1.] Then [f_4( x ) - f_6( x ),,] equ…
  32. 282.If m and M are the minimum and the maximum values of 4 + [1 2] sin2 2x - 2cos4 x, x [ ] R,…
  33. 283.The value of [ 2^2. 2^3,..... 2^10. 2^10] is -
  34. 284.The maximum value of 3cos[ ] + 5sin [( - 6 )] for any real value of [ ] is :
  35. 285.If cos([ ] + [ ]) = 3/5 ,sin ( [ ] - [ ]) = 5/13 and 0 < [ , ] < [ 4], then tan(2[ ]) is e…
  36. 286.If the equation cos4 [ ] + sin4 [ ] + [ ] = 0 has real solutions for [ ], then [ ] lies in…
  37. 287.If L = sin2[( 16 )] - sin2[( 8 )] and M = cos2[( 16 )] - sin2[( 8 )], then :
  38. 288.If for x [] [( 0, 2 )], log10sinx + log10cosx = -1 and log10(sinx + cosx) = [1 2(log10 n -…
  39. 289.If 15sin4[] + 10cos4[] = 6, for some [] R, then the value of 27sec6+ 8cosec6
  40. 290.If [e^( ^2x + ^4x + ^6x + ... ) _e2] satisfies the equation t2 - 9t + 8 = 0, then the valu…
  41. 291.If 0 < x, y < [] and cosx + cosy - cos(x + y) = [3 2], then sinx + cosy is equal to :
  42. 292.If [ + = 1 2], then 16(sin(2[]) + cos(4[]) + sin(6[])) is equal to :
  43. 293.If cot[] = 1 and sec[] = [ - 5 3]
  44. 294.The set of all values of [] for which the equation [ ^22x - 2 ^4x - 2 ^2x = ] has a real s…
  45. 295.Let [f( ) = 3( ^4( 3 2 - ) + ^4(3 + ) ) - 2(1 - ^22 )] and [S = [0, ]:f'( ) = - 3 2 ].
  46. 296.If [ 15^ + 1 75^ + 1 105^ + 195^ = 2a], then the value of [( a + 1 a )] is :
  47. 297.Let the range of the function f(x)=6+16 x (()/(3)-x) (()/(3)+x) 3 x 6 x, x R be [, ].
  48. 298.If 10 ^4 +15 ^4 =6, then the value of 27 cosec^6 +8 ^6 16 ^8 is