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°
None of these
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
D.
sin12°sin48°sin54°= sin12°sin60° - 12°sin90° - 36°= sin12°sin60° - 12°sin72°cos36°sin72°= sin12°sin260° - sin212°cos36°sin72°= sin12°34 - sin212°cos36°sin72°= 3sin12° - 4sin312°4 . cos36°sin72°= sin36°cos36°4sin72°= 12 sin72°4sin72° = 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
If x = secθ - cosθ, y = secnθ - cosnθ, then x2 + 4dydx2 is equal to
n2(y2 - 4)
n2(4 - y2)
n2(y2 + 4)
The two curves y = 3 and y = 5 intersect at an angle
tan-1log3 - log51 + log3log5
tan-1log3 + log51 - log3log5
tan-1log3 + log51 + log3log5
tan-1log3 - log51 - log3log5
The period of sin4x + cos4x is
π42
π22
π4
π2
If 3 cos x ≠ 2 sin x, then the general solution of sin2x - cos2x = 2 - sin2x is
nπ + - 1nπ2, n ∈ Z
nπ2, n ∈ Z
4n ± 1π2, n ∈ Z
(2n - 1)π, n ∈ Z