Let then equals
a) tan
b) tan
c) tan
d) tan2
Your Answer
If f (θ) = sinθ (sinθ + sin3θ) then f (θ)
a) ≥ 0 only when θ ≥ 0
b) ≤ 0 for all real θ
c) ≥ 0 for all real θ
d) ≤ θ only when θ ≤ 0
Given A = and f (x) = cosx – x (x + 1). Find the range of f (A).
a)
b)
c)
d)
If f (x) = and
then (gof)(x) = …………
a) 0
b) 1
c) 2
d) 3
The number of solutions of the pair of equations
in the interval [ 0, 2π ] is
d) 4
The equation has
a) no real solutions
b) one real solution
c) two real solutions
d) infinite real solutions
If satisfies , find the value of
Given A = for all values of θ, then
a) 1 ≤ A ≤ 2
b) ≤ A ≤ 1
c) ≤ A ≤ 1
d) ≤ A ≤
is equal to
The expression is equal to
c) 3
d) sin4α + cosα
The value of the expression is equal to
a) 2
c) 4
If the lengths of the sides of a triangle are 3, 5, 7 then the largest angle of the triangle is
a) 11
b) 12
c) 13
d) 14
is true if
a) x + y= 0
b) x = y, x ≠ 0
c) x = y
d) x ≠ 0, y ≠ 0
Given both θ and Ф are acute angles and sinθ = , cos Ф = then the value of θ + Ф belongs to
and where α, β ε [π, π]. Values of α, β which satisfy both the equations is/are
If and α, β lie between 0 and find
d) 2
If , then
a) True
b) False
If tan A then
Suppose is an identity in x where are constants and . Then the value of n = ……….
a) 4
b) 5
c) 6
d) 7
The set of all values of x in the interval (0, π) for which is
a) (0, )
b) { }
c) ( , π)
d) (0, ) U { } U ( , π)
If k = then the numerical value of k is ……….