Trigonometry Quiz for JEE/NEET preparations

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#1. The period of cos^2 x is

#2. If sec^2x + tan^2x = 6/13 then (sec^4x – tan^4x) is equal to

#3. The value of cos 1 cos 2 …. cos 178 cos 179 (All in degrees) is equal to

#4. The greatest value of sin^4x + cos^4x is

#5. The minimum value of 3sin^2x + 5cos^2x is

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Explanation is given below

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  1. Cos2(x+π) = (-cos x )2 = cos2x
  2. Sec4x – tan4x = (sec2x + tan2x)(sec2x – tan2x) =(6/13)
  3. Cos 1° cos 2° …. Cos 178° cos 179° = cos 1° cos 2° … cos 90°… cos 178° cos 179° = cos 1° cos 2° … 0 ..cos 178° cos 179° = 0
  4. Sin4x + cos4 x = (sin2x + cos4x) – 2sin2x cos2x = 1-2sin 2x cos2x which has greatest value 1
  5. 3sin2x + 5cos2x = 3(sin2x + cos2x)+2cos2x = 3 + 2 cos2x = 3 because minimum value of cos2x is 0.

Trigonometry Quiz

  1. The period of cos2x is
    • (2π)2
    •  π ()
    • 2π 
    • π/2
  2. The value of cos 10 cos 20 …. cos 1780 cos 1790 is equal to
    • 0
    • -1()
    • 1
    • 1/2
  3. The greatest value of sin4x + cos4x is
    • 1()
    • 2
    • 3
    • 1/2
  4. The minimum value of 3sin2x + 5cos2x is
    • 0()
    • 1
    • 3
    • 5
  5. Principal value of tan-1[sin(-π/2 )] = ?
    • π/4
    • – π/4
    • π/2()
    • – π/2

Quiz By : Priti Prasanna Samal

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