`theta < pi/16,sqrt(2+sqrt(2+sqrt(2+2 cos 8 theta)))= k cos theta => k =`

Let theta in R and sum_(k=2)^(oo)sin(2^(k)theta)=a. Find the value sum_(k=0)^(oo)[cot^(3)(2^(k)theta)-cot(2^(k)theta)]sin^(4)(2^(k)theta) in terms of 'a'

If : sin (theta - 30^(@))+cos (theta - 60^(@))=k * sin theta, "then" : k=

If Lim_( theta to 0) k theta cosec theta = Lim_( theta to 0) theta cosec k theta , prove that k must be pm 1 :

If cos (81^(@) + theta) = sin(k/3 - theta) , then k is equal to

Find (dy/dx) if x= k( theta-sin theta), y=k(1+cos theta)

Evaluate : Sin^6theta + Cos^6theta = 1 - k Sin^2theta Cos^2theta , find k

If 4 sin(60^(@) + theta ) sin (60^(@) - theta )-1=k cos 2 theta , the value of k is

Solve the following differential equations.(2) d theta.dt=k(theta=theta_0) ,where k is a constant.

Solve the following differential equation:(3) (d theta)/dt=-k(theta-theta_0) ,where k and theta_0 are constants.