If cos 28⁰+ sin 28⁰ = k³, then cos 17⁰ is equal to

(a)

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

(b)

-\(\frac { { k }^{ 3 } }{ \sqrt { 2 } } \)

(c)

±\(\frac { { k }^{ 3 } }{ \sqrt { 2 } } \)

(d)

-\(\frac { { k }^{ 3 } }{ \sqrt { 3 } } \)

If tan40⁰ = λ, then \(\frac { tan{ 140 }^{ 0 }-tan{ 130 }^{ 0 } }{ 1+tan{ 140 }^{ 0 }.tan{ 130 }^{ 0 } } \) =

(a)

\(\frac { 1-\lambda ^{ 2 } }{ \lambda } \)

(b)

\(\frac { 1+{ \lambda }^{ 2 } }{ \lambda } \)

(c)

\(\frac { 1+{ \lambda }^{ 2 } }{ 2\lambda } \)

(d)

\(\frac { 1-{ \lambda }^{ 2 } }{ 2\lambda } \)

Let f_k(x) = \(\frac { 1 }{ k } \)[sin^kx + cos^kx] where x\(\in \)R and k ≥ 1. Then f₄(x) - f₆(x) =

(a)

\(\frac { 1 }{ 4 } \)

(b)

\(\frac { 1 }{ 12 } \)

(c)

\(\frac { 1 }{ 6 } \)

(d)

\(\frac { 1 }{ 3 } \)

In a triangle ABC, sin²A + sin²B + sin²C = 2, then the triangle is

(a)

equilateral triangle

(b)

isosceles triangle

(c)

right triangle

(d)

scalene triangle

A wheel is spinning at 2 radians/second. How many seconds will it take to make 10 complete rotations?

(a)

10\(\pi \) seconds

(b)

20\(\pi \) seconds

(c)

5\(\pi \) seconds

(d)

15\(\pi \) seconds

In a ΔABC, if
(i) \(sin\frac { A }{ 2 } sin\frac { B }{ 2 } sin\frac { C }{ 2 } \) > 0
(ii) sin A sin B sin C > 0, Then 

(a)

Both (i) and (ii) are true

(b)

Only (i) is true

(c)

Only (ii) is true

(d)

Neither (i) nor (ii) is true

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

If tan A = \(\frac { a }{ a+1 } \) and B = \(\frac { 1 }{ 2a+1 } \) then the value of A + B is ___________

(a)

0

(b)

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

(c)

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

(d)

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

2 sin 5x cos x _______________

(a)

sin 6x + cos 4x

(b)

sin 6x + sin 4x

(c)

cos 6x + sin 4x

(d)

cos 6x + cos 4x

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

(a)

cos x

(b)

sin x

(c)

tan x

(d)

cot x