`|[cos(x-a),cos(x+a),cosx],[sin(x+a),sin(x-a),sinx],[cosatanx,cosacotx,cosec2x]|=0`

Prove |{:(cos(x-a),cos(x+a),cosx),(sin(x+a),sin(x-a),sinx),(cosa tan x,cosa cotx,cosec2x):}|=0

The value of |(cos(x-a), cos(x+a), cosx),(sin(x+a), sin(x-a), sinx),(cosatanx, cosacotx, cosec2x)|= (A) 1 (B) sina cosa (C) 0 (D) sinx cosx

The value of |{:(cos(x-a), cos(x+a), cosx), (sin(x+a), sin(x-a), sinx), (cosatanx, cosacotx, cosec2x):}| is equal to :a)1 b) sinacosa c)0 d) sinxcosx

The value of |(cos(x-a), cos(x+a), cosx),(sin(x+a), sin(x-a), sinx),(cosatanx, cosacotx, cotx)|= (A) 1 (B) sina cosa (C) 0 (D) sinx cosx

Prove that : [sin(3x)+sinx]sinx+[cos(3x)-cosx]cosx=0

If f(x) = |{:(cos^(2)x, cosx.sinx, -sin x),(cos x sinx ,sin^(2)x ,cos x),(sinx , -cos x , 0):}| then for all x

If f(x) = |{:(cos^(2)x, cosx.sinx, -sin x),(cos x sinx ,sin^(2)x ,cos x),(sinx , -cos x , 0):}| then for all x

sinx + cosx = (cos2x)/(1-sin2x)

Prove that (sin3x + sinx)sinx + (cos3x - cosx)cosx = 0