The equation 3sin2x + 10cosx - 6 is satisfied, if
x = nπ ± cos-113
x = 2nπ ± cos-113
x = nπ ± cos-116
x = 2nπ ± cos-116
If ecosx - e- cosx = 4, then the value of cosx is
log2 + 5
- log2 + 5
log- 2 + 5
None of these
A.
Given, ecosx - e- cosx = 4
Let ecosx = y⇒ y - 1y = 4⇒ y2 - 4y - 1 = 0⇒ y = - - 4 ± 16 - 4 × - 12⇒ y = 4 ± 252⇒ y = 2 + 5 = ecosx⇒ cosx = log2 + 5
If tan-1ax + tan-1bx = π2, then x is equal to
ab
2ab
If cosθ - α = a, cosθ - β = b, then
sin2α - β + 2abcosα - β is equal to
a2 + b2
a2 - b2
b2 - a2
- a2 - b2
The most general solutions of the equation
secx - 1 = 2 - 1tanx are given by
nπ + π8
2nπ, 2nπ + π4
2nπ
If α + β - γ = π, then sin2α + sin2β - sin2γ is equal to
2sinαsinβcosγ
2cosαcosβcosγ
2sinαsinβsinγ
None of the above
The range of the function f (x) = Px - 37 - x is
{1, 2, 3}
{1, 2, 3, 4, 5, 6}
{1, 2, 3, 4}
{1, 2, 3, 4, 5}
The principal amplitude of sin40° + icos40°5 is
70°
- 110°
110°
- 70°
If the relation between direction ratios of two lines are given by a + b + c = 0 and 2ab + 2ac - bc = 0, then the angle between the lines is
π
2π3
π2
π3
The value of 2cos56°15' + isin56°15'8
- 16i
16i
8i
4i