\(\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } } \)=

(a)

\(\sqrt{2}\)

(b)

\(\sqrt{3}\)

(c)

2

(d)

4

The maximum value of 4sin²x + 3 cos²x + \(sin\frac { x }{ 2 } +cos\frac { x }{ 2 } \) is

(a)

\(4 + \sqrt{2}\)

(b)

\(3+ \sqrt{2}\)

(c)

9

(d)

4

cos1⁰ + cos2⁰ + cos3⁰ +: : : + cos179⁰ =

(a)

0

(b)

1

(c)

-1

(d)

89

If tan α and tan β are the roots of x² + ax + b = 0; then \(\frac { sin(\alpha +\beta ) }{ sin\alpha sin\beta } \) is equal to

(a)

\(\frac { b }{ a } \)

(b)

\(\frac { a }{ b } \)

(c)

\(-\frac { a }{ b } \)

(d)

\(-\frac { b}{ a } \)

If sin α + cos α = b, then sin 2α is equal to

(a)

b²- 1, if b ≤\(\sqrt { 2 } \)

(b)

b²- 1, if b >\(\sqrt { 2 } \)

(c)

b²-1, if b ≥ 1

(d)

b²- 1, if b ≥\(\sqrt { 2 } \)

If the angles of a triangle are in A.P., then the measure of one of the angles in radians is ___________

(a)

\(\frac { \pi }{ 6 } \)

(b)

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

(c)

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

(d)

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

The value of sin²\(\frac { 5\pi }{ 12 } -sin^{ 2 }\frac { \pi }{ 12 } \) is ___________

(a)

\(\frac { 1 }{ 2 } \)

(b)

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

(c)

1

(d)

0

In any ΔABC, a(b cosC - c Cos B) = __________

(a)

a²

(b)

b²-c²

(c)

0

(d)

b² + c²

If tan θ = \(\frac{-4}{3}\), then sin θ is _____________ 

(a)

\(\frac{-4}{5}\)

(b)

\(\frac{4}{5}\)

(c)

\(\frac{-4}{5}\quad or\quad \frac{4}{5}\)

(d)

None

The numerical value of tan^-11 + tan^-12 + tan^-13 = _______________

(a)

\(\pi\)

(b)

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

(c)

0

(d)

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