[" Example "33." If "x=sqrt(a^(2)cos^(2)alpha+b^(2)sin^(2)alpha)+sqrt(a^(2)sin^(2)alpha+b^(2)cos^(2)alpha)],[" then "x^(2)=a^(2)+b^(2)+2sqrt(P(a^(2)+b^(2))-P^(2))" where "P" is equal to "],[[" (a) "a^(2)cos^(2)ab+b^(2)cos^(2)a," (b) "a^(2)," (is equal to "]]

x=sqrt(a^(2)cos^(2)alpha+b^(2)sin^(2)alpha)+sqrt(a^(2)sin^(2)alpha+b^(2)cos^(2)alpha) then x^(2)=a^(2)+b^(2)+2sqrt(p(a^(2)+b^(2))-p^(2)), where p can be is equal to

x=sqrt(a^(2)cos^(2)alpha+b^(2)sin^(2)alpha)+sqrt(alpha^(2)sin^(2)alpha+b^(2)cos^(2)alpha) then x^(2)=alpha^(2)+b^(2)+2sqrt(p(a^(2)+b^(2))-p^(2)) , where p is equal to

x=sqrt(a^(2)cos^(2)alpha+b^(2)sin^(2)alpha)+sqrt(alpha^(2)sin^(2)alpha+b^(2)cos^(2)alpha) then x^(2)=alpha^(2)+b^(2)+2sqrt(p(a^(2)+b^(2))-p^(2)) , where p is equal to

x=sqrt(a^2cos^2alpha+b^2sin^2alpha)+sqrt(a^2sin^2alpha+b^2cos^2alpha) then x^2=a^2+b^2+2sqrt(p(a^2+b^2)-p^2), where p can be is equal to

x=sqrt(a^2cos^2alpha+b^2sin^2alpha)+sqrt(a^2sin^2alpha+b^2cos^2alpha) then x^2=a^2+b^2+2sqrt(p(a^2+b^2)-p^2) , where p is equal to (a) a^2cos^2alpha+ b^2sin^2alpha (b) a^2sin^2alpha+b^2cos^2alpha (c) (1/2)(a^2+b^2+(a^2-b^2)cos2alpha) (d) (1/2)(a^2+b^2-(a^2-b^2)cos2alpha)

(cos alpha-cos beta) ^ (2) + (sin alpha-sin beta) ^ (2) = 4 (sin ^ (2) (alpha-B)) / (2)

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=

If (sin alpha )/(a) = ( cos alpha )/(b) , then a sin 2alpha + b cos 2 alpha =

If cot^(-1)(sqrt(cos alpha))-tan^(-1)(sqrt(cos alpha))=x then sin x is tan^(2)(alpha)/(2)(b)cot^(2)(alpha)/(2)(c)tan^(2)alpha(d)cot(alpha)/(2)

If (sin alpha)/(a)=(cos alpha)/(b), then a sin2 alpha+b cos2 alpha=