If a = i^ - j^ + 2k^ and b = 2i^ - j^ + k^, then the angle θ between a and b is given by
tan-11
sin-112
sec-11
tan-113
At t = 0, the function f(t) = sintt has
a minimum
a discontinuity
a point of inflexion
a maximum
If ∆r = 2r - 1Crm1m2 - 12mm + 1sin2m2sin2msin2m + 1, then the value of ∑r = 0m∆r
1
0
2
None of these
If cosα + isinα, b = cosβ + isinβ, c = cosγ + isinγ and bc + ca + ab = 1, then cosβ - γ + cosγ - α + cosα - β is equal to
32
- 32
The maximum value of 4 sin2(x) - 12sin(x) + 7 is
25
4
does not exist
None of the above
A line making angles 45° and 60° with the positive directions of the axes of x and y makes with the positive direction of z-axis, an angle of
60°
120°
60° or 120°
If I = 1001, J = 01- 10 and B = cosθsinθ- sinθcosθ, then B is equal to
I cosθ + Jsinθ
I sinθ + Jcosθ
I cosθ - Jsinθ
- I cosθ + Jsinθ
Find the value of sin12°sin48°sin54°.
12
14
16
18
If 3sinθ + 5cosθ, then the value of 5sinθ - 3cosθ is equal to
5
3
Domain of the function f(x) = logx(cos(x)), is
- π2, π2 - 1
- π2, π2