`sinalpha=(2x y)/(x^2+y^2)=>secalpha-tanalpha=`

If the lines represented by sin^(2)alpha(x^(2)+y^(2))=((cosalpha)x-(sinalpha)y)^(2) are perpendicular to each other, then alpha=

(a+2)sinalpha(2a-1)cosalpha=(2a+1)if tanalpha is

If alpha is any real number, then : (sinalpha+cosecalpha)^2+(cosalpha+secalpha)^2-(tan^2alpha+cot^2alpha)=....

If secalpha+tanalpha=m, " then " sec^(4)alpha-tan^(4)alpha-2sec alpha tan alpha is ___________.

A square of side a lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle alpha(0ltalphaltpi/ 4) with the positive direction of x-axis. equation its diagonal not passing through origin is (a) y(cosalpha+sinalpha)+x(sinalpha-cosalpha)="a (b) y(cosalpha+sinalpha)+x(sinalpha+cosalpha)=a (c) y(cosalpha+sinalpha)+x(cosalpha-sinalpha)=a (d) y(cosalpha-sinalpha)-x(sinalpha-cosalpha)=a

(sinalpha + cosalpha)(tanalpha + cotalpha) = secalpha + cosecalpha

(sinalpha + cosalpha)(tanalpha + cotalpha) = secalpha + cosecalpha

Prove the following identities: (sinalpha+cosecalpha)^2+(cosalpha+secalpha)^2=tan^2alpha+cot^2alpha+7

(sinalpha+cosecalpha)^(2)+(cosalpha-secalpha)^(2)-tan^(2)alpha-cot^(2)alpha=?

If vectos b=(tanalpha,-1,2sqrt(sinalpha//2)) and c=(tanalpha,tanalpha,-(3)/(sqrt(sinalpha//2))) are orthogonal and vectors a=(1,3,sin2alpha) makes an obtuse angle with the Z-axis, then the value of alpha is