" (19.) "(1)/(sin x cos^(3)x)

3. (sin x+cos x)(1-sin x cos x)=sin^(3)x+cos^(3)x

What is the value of (sin^(3) x + cos^(3) x)/( sin x + cos x) + sin x cos x ?

If k_(1)=sin x cos^(3)x and k_(2)=cos x sin^(3)x then

The maximum value of (3 ) /( 5 sin x-12 cos x+19) is

Prove that ((sin ^ (3) x) / (1 + cos x) + (cos ^ (3) x) / (1-sin x)) = sqrt (2) sin ((pi) / (4) + x)

If f_(n)(x) = (sin x)/(cos3x)+(sin 3x)/(cos 3^(2)x) +(sin 3^(2)x)/(cos 3^(3)x) +....+ (sin 3^(n-1)x)/(cos 3^(n)x)"Then" f_(2) ((pi)/(4)) + f_(3) ((pi)/(4))=

(sin^(3)x+cos^(3)x)/(sin x+cos x)+(sin^(3)x-cos^(3)x)/(sin x-cos x)=2

3 sqrt(3) sin^(3) x + cos^(3) x + 3 sqrt(3) sin x cos x = 1

The integral int(sin^(2)x cos^(2)x)/((sin^(5)x+cos^(3)x sin^(2)x+sin^(3)x cos^(2)x+cos^(5)x)^(2))dx is equal to (1) (1)/(3(1+tan^(3)x))+C(2)(-1)/(3(1+tan^(3)x))+C(3)(1)/(1+cot^(3)x)+C(4)(-1)/(1+cot^(3)x)+C