The angle between the minute and hour hands of a clock at 8.30 is ___________

(a)

80⁰

(b)

75⁰

(c)

60⁰

(d)

105⁰

Which of the following is incorrect?

(a)

sin x = \(\frac { -1 }{ 5 } \)

(b)

cos x = 1

(c)

sec x = \(\frac { 1 }{ 2 } \)

(d)

tan x = 20

\(\frac { cos3x }{ 2cos2x-1 } \) is _______________

(a)

cos x

(b)

sin x

(c)

tan x

(d)

cot x

If cos x = \(\frac { -1 }{ 2 } \) \(0 < x < 2\pi\) and, then the solutions are _______________

(a)

x = \(\frac { \pi }{ 3 } ,\frac { 4\pi }{ 3 } \)

(b)

x = \(\frac { 2\pi }{ 3 } ,\frac { 4\pi }{ 3 } \)

(c)

x = \(\frac { 2\pi }{ 3 } ,\frac { 7\pi }{ 6 } \)

(d)

x = \(\frac { 2\pi }{ 3 } ,\frac { 5\pi }{ 3 } \)

The maximum value of 3 sin θ+4 cos θ is _______________

(a)

1

(b)

3

(c)

4

(d)

5