Test : Trigonometric Functions And Identities - 10 - Mathematics MCQ

The number of solutions of the equations 

sin x + sin 2x - sin3x + sin4x = 4 is true for

The equation sin⁶x + cos⁶x = a has a real solution if and only if.................≤ a≤..............  

If sinα, cosα are the roots of the equation ax² + bx + c = 0, then a, b, c satisfy the relation

The function f(x) =  has

If cos a + cos b = a, sin a + sin b = b and q is the arithmetic mean between a and b , then sin 2q + cos 2q is equal to

If (1 + lan 1°) (1 + tan 2°) ... (1 + tan 45°) - 2ⁿ then the value of n is

The value of sin 12° sin 48° sin 54°

 The value of   terms is equal to

If e^sin x - e^{-sin x} - 4 = 0 then the number of real values of x is

In a ΔABC, a=5, b=4 and tan  then the side c is

In a ΔABC, A =90°. Then 

If in a ΔABC, 3a = b+c then  is equal to

cos^-1 (cos x) = x is satisfied by

 The value of 2tan^-1 

If a, b, c are the sides of a triangle, then the value fo the expression   is equal to

The sum of the series  .... will be equal to