If a is any real number`t h e n :(sin^4alpha+sin^2alpha*cos^2alpha+cos^2alpha)/(sin^2alpha+sin^2alpha*cos^2alpha+sin^2alpha)=`

If alpha is any real nubmer then: (sin^4alpha+sin^2alpha.cos^2alpha+cos^2alpha)/(cos^4alpha+sin^2alpha.cos^2alpha+sin^2alpha)=.... (a) 1 (b)2 (c) 3 (d) none of these

Prove that sin^2alpha-sin^4alpha= cos^2alpha-cos^4alpha

cos^(4)alpha+sin^(4)alpha-6sin^(2)alpha cos^(2)alpha=

sin alpha-sin2 alpha+sin3 alpha=4cos(3 alpha)/(2)cos alpha sin(alpha)/(2)

sin^(2) alpha * tan alpha + cos^(2) alpha * cot alpha + 2 sin alpha cos alpha =

if A,=[[cos alpha,sin alpha-sin alpha,cos alphasin alpha,cos alphacos2 alpha,sin2 alpha-sin2 alpha,cos2 alpha]]

If sin^(2)(theta-alpha)cos alpha=cos^(2)(theta-alpha)sin alpha=m sin alpha cos alpha, then

((cos alpha-cos3 alpha)(sin8 alpha+sin2 alpha))/((sin5 alpha-sin alpha)(cos4 alpha-cos6 alpha))=

Find the value of sin^6 alpha+ cos^6 alpha+ 2sin^2 alpha cos^2 alpha .