If `cos^(-1)(p/a)+cos^(-1)(q/b)=alpha` and `p^2/a^2+k cos alpha+q^2/b^2=sin^2 alpha` then `k=`

cos^(-1)((p)/(a))+cos^(-1)((q)/(b))=alpha then (p^(2))/(a^(2))-(2pq)/(ab)+(q^(2))/(b^(2)) equals

If "Cos"^(-1)P/a+"Cos"^(-1)q/b=alpha , then prove that (p^(2))/(a^(2))-(2pq)/(ab).cos alpha+(q^(2))/(b^(2))=sin^(2)alpha

If p sin^(3)alpha+qcos^(3)alpha=sinalphacosalpha and p sinalpha - q cos alpha=0, then prove that : p^(2)+q^(2)=1

If p sin^(3)alpha+qcos^(3)alpha=sinalphacosalpha and p sinalpha - q cos alpha=0, then prove that : p^(2)+q^(2)=1

If (sin alpha + "cosec" alpha )^(2) + ( cos alpha + sec alpha )^(2)=k+ tan^(2) alpha + cot^(2) alpha then k=

Prove that sin^(4) alpha + cos^(4) alpha + 2 sin^(2) alpha cos^(2) alpha = 1 .

Let cos^-1(x/a)+cos^-1(y/b)=alpha thenAnswer the following questions (A) x^2/a^2+y^2/b^2+(2xy)/(ab) cos alpha = sin^2 alpha (B) x^2/a^2-y^2/b^2+(2xy)/(ab) cos alpha = sin^2 alpha (C) x^2/a^2+y^2/b^2-(2xy)/(ab) cos alpha = sin^2 alpha (D) x^2/a^2-y^2/b^2-(2xy)/(ab) cos alpha = sin^2 alpha