`" If sum of solution(s) in "[0,3 pi]" of the trigonometric equation "cosec theta=1+cot theta" is "k pi" ,then value of "k" ,"`

Find the general solution of the trigonometric equation :cot^(2)5 theta=theta

If 2cos ec theta-cos theta cot theta>=k AA theta in(0,pi) then value of k is

(1)/(cosec theta+cot theta)=cosec theta-cot theta

Find the sum of all the solution of the equation cos theta-sin3 theta=cos2 theta in[0,2 pi]

Sum of all the solutions in [0,4 pi] of the equation tan x+cot x+1=cos(a+(pi)/(4)) is k pi then the value of (a)3.5(b)2.5(c)2(d)2.25

The sum of all possible solution of trigonometric equation 2sqrt(cos^(6)theta-sin^(6)theta)=cos2theta+1 in interval [pi,7pi] is equal to

If the sum of all the solutions of the equation 3 cot^(2) theta + 10 cot theta + 3 = 0 in [ 0, 2 pi ] is k pi where k in I , then find the value of k .

Prove the trigonometric identities: sqrt((1-cos theta)/(1+cos theta))=csc theta-cot theta

Solve the equation cot((theta )/(2))-"cosec"((theta)/2)=cot theta