(a) The maximum value of the expression...

(a) The maximum value of the expression `(1)/(sin^(2)theta+3sinthetacos theta+5cos^(2)theta)` is
(b) Two parallel chords of a circle of radius 2 are at a distance `sqrt(3)+1` apart. If the chords subt end the center, angles of `(pi)/(k)` and `(2pi)/(k)` where `kgt0`, then the value of [k] is-

Verified by Experts

2

Similar Questions

Explore conceptually related problems

The maximum value of the expression 1/(sin^2 theta + 3 sin theta cos theta + 5cos^2 theta) is

Minimum value of the expression cos^2theta-(6 sintheta cos theta) + 3 sin^2theta + 2 , is

sin^(4) theta + cos ^(4) theta + 2sin^(2) theta cos ^(2) theta has value 1.

The real value of theta for which the expression (1+I cos theta)/(1-2i cos theta) is a real number is

The maximum value of 1+sin(pi/4+theta)+2cos(pi/4-theta) for real values of theta is

Prove that 2 (sin^(6)theta +cos^(6) theta ) - 3(sin^(4)theta +cos^(4) theta ) + 1 = 0

Find the value of each of the expressions in sin^(-1)("sin"(2pi)/3)

If sintheta+costheta=1 , then the value of sin(2theta) is

(sin 5theta+ sin 2theta- sin theta)/(cos5theta+2cos3theta+2cos^2theta+costheta) is equal to

Maximum and minimum value of 2sin^2theta-3sintheta+2 is