The period of sin4x + cos4x is
π42
π22
π4
π2
cosxcosx - 2y = λ ⇒ tanx - ytany is equal to
1 + λ1 - λ
1 - λ1 + λ
λ1 + λ
cosAcos2Acos4A ... cos2n - 1A equals
sin2nA2nsinA
2nsin2nAsinA
2nsin2nAsin2nA
sinA2nsin2nA
If 3cos(x) ≠ sin x, then the general solution of sin2(x) - cos(2x) = 2 - sin(2x) is
nπ + - 1nπ2, n ∈ Z
nπ2, n ∈ Z
4n ± 1π2, n ∈ Z
2n - 1π, n ∈ Z
The transformed equation of x2 + y2 = r2 when the axes are rotated through an angle 36° is
5X2 - 4XY + Y2 = r2
X2 + 2XY - 5Y2 = r2
X2 - Y2 = r2
X2 + Y2 = r2
The period of tanθ - 13tan3θ13 - tan2θ - 1,where tan2θ ≠ 13 is
π3
2π3
π
2π
If asin2θ + bcos2θ = c,then tan2θ = ?
b - ca - c
c - ba - c
a - cb - c
a - cc - b
If cos(x - y), cos(x), cos(x + y) are three distinct numbers which are in harmoric progression and cos(x) ≠ cos(y), then 1 + cos(y) is equal to
cos2x
- cos2x
cos2x - 1
cos2x - 2
A.
cosx - y, cosx, cosx + y are in HPThen, cosx = 2cosx - ycosx + ycosx + y + cosx - ycosx = cos2x + cos2y2cosx . cosycosx = 2cos2x + 2cos2y - 22cosx . cosycos2x . cosy = cos2x + cos2y - 1cos2xcosy - 1 = cos2y - 1cos2x1 - cosy = 1 - cos2ycos2x2sin2y2 = 2siny2cosy22cos2x2sin2y2 = 4sin2y2cos2y2cos2x = 2cos2y2 - 1 + 1cosy + 1 = cos2xor 1 + cosy = cos2x
The set of solutions of the equation 3 - 1sinθ + 3 + 1cosθ = 2 is
2nπ ± π4 + π12 : n ∈ Z
2nπ ± π4 - π12 : n ∈ Z
nπ + - 1nπ4 + π12 : n ∈ Z
nπ + - 1nπ4 - π12 : n ∈ Z
In a ∆∆ABC, C = 90°. Then, a2 - b2a2 + b2 = ?
sin(A + B)
sin(A - B)
cos(A + B)
cos(A - B)