Test : Trigonometric Functions And Identities - 1 - Mathematics MCQ

where x ∈ R, y ∈ R, gives real θ if and only if

If sinθ + cosecθ = 2 then the value of sin⁸θ + cosec⁸θ is equal to

If x = r sinθ • cosφ)), y = r sinθ . sinφ and z= r cosθ then the value of x² + y² + z² is indenenden of

Let P - a cosθ - b sinθ. Then for all real θ

If 0⁰ c< θ < 180° then  there being n number of 2’s, is equal to

The value of tan   is equal to

The value of sin 78° - sin 66 ° - sin 42° + sin 6° is

The vaiue of   is equal to

The maximum value of  for real values of θ is

The minimum value of cos 2θ - cosθ for real values of θ is

The value of cosec 10° -  is equal to

The least value of cos²θ - 6sinθ • cosθ - 3sin²θ + 2 is

If cos⁴θ . sec²α , 1 /2 and sin⁴θ . cosec²α are in A P then cos⁸θ • sec⁶θ 1/2 and sin⁸θ . cosec⁶α are in 

If tan π/9, x and tan5π / 18 are in AP and tanπ/9,y and tan7π/ 18 are also in AP then 

If cos(x - y), cosx and cos (x + y) are in HP then | cos x . sec [y/2) | equals

If 2sinα . cosβ . sinγ = sinβ . sin(a + γ) then tanα, tanβ ana tanγ are in

In tanα = √a, where a is a rational number which is not a perfect square, then which of the following is a rational number?