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

(a)

80⁰

(b)

75⁰

(c)

60⁰

(d)

105⁰

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

(sec A + tan A-1) (sec A - tan A+1)-2 tan A = _______________

(a)

0

(b)

1

(c)

2

(d)

2 tan A

If sin θ = sin \(\alpha\), then the angles θ and \(\alpha\) are related by _______________

(a)

\(\theta=n\pi\pm\alpha\)

(b)

\(\theta=2n\pi+(-1)^n\alpha\)

(c)

\(\alpha=n\pi\pm(-1)^n\theta\)

(d)

\(\theta=(2n+1)\pi+\alpha\)

If cos θ + \(\sqrt{3}\) sin θ = 2 and θ∈[0, 2π] then θ is _______________

(a)

\(\frac{\pi}{3}\)

(b)

\(\frac{5\pi}{3}\)

(c)

\(\frac{2\pi}{3}\)

(d)

\(\frac{4\pi}{3}\)