[sec theta+cosec theta=a,theta in(0,2 pi)-{(pi)/(2),pi,],[" If the equation has exactly three "],[" real solutions then "]

Consider the equation sec theta +cosec theta=a, theta in (0, 2pi) -{pi//2, pi, 3pi//2} If the equation has no real roots, then

Consider the equation sec theta +cosec theta=a, theta in (0, 2pi) -{pi//2, pi, 3pi//2} If the equation has no real roots, then

Consider the equation sec theta +cosec theta=a, theta in (0, 2pi) -{pi//2, pi, 3pi//2} If the equation has no real roots, then

Consider the equation sec theta +cosec theta=a, theta in (0, 2pi) -{pi//2, pi, 3pi//2} If the equation has two distinct real roots, then

Consider the equation sec theta +cosec theta=a, theta in (0, 2pi) -{pi//2, pi, 3pi//2} If the equation has four distinct real roots, then

Consider the equation sec theta +cosec theta=a, theta in (0, 2pi) -{pi//2, pi, 3pi//2} If the equation has four distinct real roots, then (a) |a| gt 2sqrt(2) (b) |a| lt 2sqrt(2) (c) a ge -2sqrt(2) (d) none of these

If cos theta+sec theta=-2,theta in[0,2 pi] then sin^(8)theta+cos^(8)theta is equal to

If tan theta =cos theta , where theta in [-pi/2,pi/2] , find the number of solutions of the equation.