If 3sinx + 4cosx = 5, then 6tanx2 - 9tan2x2 = ?
3
2
1
0
If α, β, γ are length of the altitudes of a ∆ABC with area ∆, then ∆2R21α2 + 1β2 + 1γ2 = ?
sin2A + sin2B + sin2C
cos2A + cos2B + cos2C
tan2A + tan2B + tan2C
cot2A + cot2B + cot2C
In an acute angled triangle, cot(B)cot(C) + cot(A)cot(C) + cot(A)cot(B) = ?
- 1
x = log1y + 1 + 1y2 ⇒ y = ?
tanhx
cothx
sechx
cschx
D.
Given, x = log1y + 1 + 1y2 ∴ x = csc-1y⇒y = cscx
The period of f(x) = cosx3 + sinx2 is
2π
4π
8π
12π
If sinθ + cosθ = p and sin3θ + cos3θ = q, then p(p2 - 3) is equal to
q
2q
- q
- 2q
If tanπcosθ = cotπsinθ, then a value of cosθ - π4 among the following is
122
12
14
The set of solutions of the system of equationsx + y = 2π3and cosx + cosy = 32,where x, y are real, is
x, ycosx - y2 = 12
x, ysinx - y2 = 12
x, ycosx - y = 12
Empty set
If in the angles of a triangle are in the ratio1 : 1 : 4, then the ratio of the perimeter of the triangle to its largest side is
2 + 2 : 3
3 : 2
3 + 2 . 2
2 + 3 : 3
If cosx = tany, coty = tanz and cotz = tanx then sinx = ?
5 + 14
5 - 14
5 + 12
5 - 12