Find the coordinates of the point of intersection of the curves y = cosx and y = sin3x if .
a) (((
b) ((
c) (
d) (
Your Answer
If tan θ = then sin θ is
a) but not
b) or
c) but not −
d) None of these
If then
tan
a) True
b) False
The equation has
a) No solution
b) One solution
c) More than one real solution
d) Cannot be said
The solution of is
a)
b)
c)
The general solution of is
d)
In a triangle ABC, angle A is greater than angle B. If the measures of angle A and B satisfy the equation , then the measure of angle C is
The number of solutions of the equation
a) 0
b) 1
c) 2
d) Infinitely many
If n be a positive integer such that then
The general value of θ satisfying the equation is
The number of values of x in the interval (0, 5π) satisfying the equation is
b) 5
c) 6
d) 10
Which of the following are rational?
In ΔPQR, angle R . If tan and tan are roots of the equation
The maximum value of cos1 cos2 cos3 …… cosnunder the restriction 0 1 , 2 , 3 …. , n and cot1 cot2 cot3 …… cotn= 1 is
If α + β = and β + γ = α, then tanα equals
a) 2(tanβ + tanγ)
b) tanβ + tanγ
c) tanβ + 2tanγ
d) 2tanβ + tanγ
The number of integral values of k for which the equation has a solution is
a) 4
b) 8
c) 10
d) 12
The values of θ ε (0, 2π) for which are
If are altitudes of a triangle from the vertices A, B, C and Δ the area of the triangle then
Let are the perpendiculars from the vertices of a triangle to the opposite sides, then
In a ΔABC, then find the other sides and angles
a) A = 60°, B = 60°, c =
b) A = 45°, B = 75°, c =
c) A = 75°, B = 45°, c =
d) A = 15°, B = 105°, c =
Find the number of solutions of
Find all solutions of in
Find all the values of θ in the interval satisfying the equation .
Prove that the value of the function do not lie between and 3 for any real x.