If `sin theta + cos theta = a,` and `sin theta = cos theta = b`, then

If xsin^(3) theta +y cos^(3) theta=sin theta cos theta and x sin theta =y cos theta , then prove that x^(2)+y^(2)=1 .

Find the slope of a line joining the points (sin theta , -cos theta ) and (-sin theta , cos theta) with the origin

If sin theta+cos theta=a and sec theta+cosec theta=b , then the value of b(a^(2)-1) is equal to

If x sin ^3 theta +y cos^3 theta = sin theta cos theta and x sin theta =y cos theta then x^2 +y^2 is

If sin theta=3/5 , then cos theta =?

Prove the following: (sin theta - cos theta + 1 )/(sin theta + cos theta - 1) = 1/(sec theta - tan theta)

if a=cos theta + i sin theta , b=cos 2 theta- i sin 2 theta , c= cos 3theta + i sin 3theta and if |{:(a,,b,,c),(b,,c,,a),(c,,a,,b):}| =0 then

Solve the equations: sin 2theta - cos 2 theta - sin theta + cos theta = 0