" 13."sin^(2)(3x+4)

The solution set of the equation ("sin" 13^(@))^("cot" 3x+ "cot"x) = "sin"^(2) (4pi-x)-"cos" (3pi-x) "cos" (2 pi +x) is given by

The solution set of the equation ("sin" 13^(@))^("cot" 3x+ "cot"x) = "sin"^(2) (4pi-x)-"cos" (3pi-x) "cos" (2 pi +x) is given by

If sin ^(2) x + (1)/(4) sin^(2) 3x = sin x sin^(2) 3 x then x =

sin x + sin 3x + sin 5x + sin 7x = 4 sin ^(2) "" (x-y)/(2)

sin x + sin 3x + sin 5x + sin 7x = 4 sin ^(2) "" (x-y)/(2)

Find the maximum and the minimum values of the following function over R. (i) sin^(2) X (ii) 7 cos x -24 sin x + 5 (iii) 3 sin x-4 cos x (iv) 3 cos (4x -5) + 4 (v ) (sin x+ cos x) (vi) 5 sin x + 12 cosx + 13 (vii) (3 sin^(2) x+ 4) (ix) 5 sin x + 12 cos x -13

If A=sin^(2)x+cos^(4)x, then for all real x: (1) (3)/(4)<=A<=1(2)(13)/(16)<=A<=1(3)1<=A<=2(4)(3)/(4)<=A<=(13)/(16)

Prove that cos8x-cos5x=-2sin((13x)/(2))sin((3x)/(2))

the value of lim_(x->0){(cosx)^(1/(sin^2x))+(sin2x+2tan^-13x+3x^2)/(ln(1+3x+sin^2x)+xe^x)}

If sin^(-1)(5/x)+sin^(-1)((12)/x)=pi/2, then x is equal to 7/(13) (b) 4/3 (c) 13 (d) (13)/7