`(x cos x)^(2)`

((1) / ((sec x) ^ (2) - (cos x) ^ (2)) + (1) / ((cos ecx) ^ (2) - (sin x) ^ (2))) ( cos x) ^ (2) (sin x) ^ (2) = (1- (cos x) ^ (2) (sin x) ^ (2)) / (2+ (cos x) ^ (2) (sin x) ^ (2))

f (x) = det [[(cos x) / (2), 1,11, (cos x) / (2), - (cos x) / (2) - (cos x) / (2), 1 , -1]]

The value of int_( is equal to )^(x sin x+cos x)*((x^(2)cos^(2)x-x sin x+cos x)/(x^(2)cos^(2)x))dx

Solve: [[cos^(2)x, sin^(2)x],[sin^(2)x, cos^(2)x]]+[[sin^(2)x, cos^(2)x],[cos^(2)x, sin^(2)x]]

Prove that sin x=2^(10) sin((x)/(2^(10))) cos (x/2) cos (x/2^(2))......cos((x)/(2^(10))) .

"int e^(sin x)((x cos^(2)x-sin x)/(cos^(2)x))dx

Lim_(x->0)(1-cos x-cos2x+cos x cos2x)/(x^(4))

Lt_(x to 0)(64)/(x^(4))(1-"cos"(x)/(2)-"cos"(x)/(4)+"cos"(x)/(2)."cos"(x)/(4))=

When the determinant |{:(cos2x,sin^(2)x,cos4x),(sin^(2)x,cos2x,cos^(2)x),(cos4x,cos^(2)x,cos2x):}| is expanded in powers of sin x , the constant term in than or equal to expression is