Find `"sin" 2theta` when `"sin" theta+cos theta=1`.

Find "sin"2theta when "sin"theta+costheta =1.

Prove each of the following identities : (i) (sin theta - cos theta)/(sin theta + cos theta) + ( sin theta+ cos theta)/(sin theta - cos theta) = (2)/((2 sin^(2) theta -1)) (ii) (sin theta + cos theta ) /(sin theta - cos theta) + ( sin theta - cos theta) /(sin theta + cos theta) = (2) /((1- 2 cos^(2) theta))

Find (dy)/(dx), when x=a(cos theta+theta sin theta) and y=a(sin theta-theta cos theta)

if (sin theta-cos theta)/(sin theta+cos theta)=(sqrt(3)-1)/(sqrt(3)+1) then find the theta

Prove each of the following identities : (sin theta + cos theta)/(sin theta - cos theta) + (sin theta - cos theta)/(sin theta + cos theta) = (2) /((sin^(2) theta - cos^(2) theta)) = (2) /((2sin^(2) theta -1))

(1 + sin theta-cos theta) / (1 + sin theta + cos theta)

If theta=7.5^(@) Find the value of quad sin8 theta*cos theta-sin6 theta cos3 thetacos2 theta*cos theta-sin3 theta*sin4 theta

If 4tan theta=3, evaluate (4sin theta-cos theta+1)/(sin theta+cos theta-1)

Find an acute angle theta when (cos theta-sin theta)/(cos theta+sin theta)=(1-sqrt(3))/(1+sqrt(3))