tan\(\frac{1}{2}\) + tan\(\frac{1}{3}\) =
  • \(\frac{π}{4}\)
  • \(\frac{π}{2}\)
  • \(\frac{π}{3}\)
  • π
If sin x + sin y = \(\frac{2π}{3}\) then cos x + cos y =
  • \(\frac{2π}{3}\)
  • \(\frac{π}{4}\)
  • \(\frac{π}{3}\)
  • \(\frac{π}{2}\)
The principal value of cosec (-2) is
  • –\(\frac{2π}{3}\)
  • \(\frac{π}{6}\)
  • \(\frac{2π}{3}\)
  • –\(\frac{π}{6}\)
Which of the following is the principal value branch of cos x?
  • [\(\frac{-π}{2}\), \(\frac{π}{2}\)]
  • (0, π)
  • (π, 0)
  • (0, π) – {\(\frac{π}{2}\)}
Which of the following is the principal value branch of cosec x?
  • (\(\frac{-π}{2}\), \(\frac{π}{2}\))
  • (0, π) – {\(\frac{π}{2}\)}
  • [\(\frac{-π}{2}\), \(\frac{π}{2}\)]
  • [\(\frac{-π}{2}\), \(\frac{π}{2}\)] – [0]
The value of cos[cos(\(\frac{33π}{5}\))] is
  • \(\frac{3π}{5}\)
  • \(\frac{-3π}{5}\)
  • \(\frac{π}{10}\)
  • –\(\frac{-π}{10}\)
The domain of the function cos(2x – 1) is
  • [0, 1]
  • [-1, 1]
  • [-1, -1]
  • [0, π]
The domain of the function defined by f (x) = sin \(\sqrt{x-1}\) is
  • [1, 2]
  • [-1, 1]
  • [0, 1]
  • None of these
If cos(sin\(\frac{2}{5}\) + cosx) = 0 then x is equal to
  • \(\frac{1}{5}\)
  • \(\frac{2}{5}\)
  • 0
  • 1
The value of sin (2 tan(.75)) is equal to
  • .75
  • 1.5
  • .96
  • sin 1.5
The value of cos (cos\(\frac{3π}{2}\)) is equal to
  • \(\frac{π}{2}\)
  • \(\frac{3π}{2}\)
  • \(\frac{5π}{2}\)
  • –\(\frac{7π}{2}\)
The value of expression 2 sec 2 + sin(\(\frac{1}{2}\)) is
  • \(\frac{π}{6}\)
  • \(\frac{5π}{6}\)
  • \(\frac{7π}{6}\)
  • 1
The value of sin [cos
  • \(\frac{25}{24}\)
  • \(\frac{25}{7}\)
  • \(\frac{24}{25}\)
  • \(\frac{7}{24}\)
The number of real solution of the equation is \(\sqrt{1+cos 2x}\) = √2 cos (cos x) in [\(\frac{π}{2}\), π] is
  • 0
  • 1
  • 2
  • None of these
If cos x > sin x, then
  • \(\frac{1}{√2}\) < x ≤ 1
  • 0 ≤ x < \(\frac{1}{√2}\)
  • -1 ≤ x < \(\frac{1}{√2}\) (d) x > 0
sin(\(\frac{-1}{2}\))
  • \(\frac{π}{3}\)
  • –\(\frac{π}{3}\)
  • \(\frac{π}{6}\)
  • –\(\frac{π}{6}\)
sec(\(\frac{-2}{√3}\))
  • \(\frac{π}{6}\)
  • \(\frac{π}{3}\)
  • \(\frac{5π}{6}\)
  • –\(\frac{2π}{3}\)
cos(\(\frac{1}{2}\))
  • –\(\frac{π}{3}\)
  • \(\frac{π}{3}\)
  • \(\frac{π}{2}\)
  • \(\frac{2π}{3}\)
cosec(\(\frac{-2}{√3}\))
  • –\(\frac{π}{3}\)
  • \(\frac{π}{3}\)
  • \(\frac{π}{2}\)
  • –\(\frac{π}{2}\)
cot(1)
  • \(\frac{π}{3}\)
  • \(\frac{π}{4}\)
  • \(\frac{π}{2}\)
  • 0
0 h : 0 m : 1 s

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