If ( `sin theta + cos theta) = a` and b = `( sin^3 theta + cos^3 theta)` then value of 3a-2b is

If a = sin theta + cos theta , b =sin^(3) theta + cos^(3) theta , then

If sin theta + cos theta = a and sin^(3) theta + cos^(3) theta = b, (3a - 2b)=

If (sin theta + cos theta)/(sin theta - cos theta)=3 , then the value of sin^(4)theta - cos^(4)theta is:

(sin theta+cos theta)(1-sin theta cos theta)=sin^3 theta+cos^3 theta

If a sin^(3) theta + b cos^(3) theta = sin^(3) theta * cos theta and a sin theta - b cos theta=0 , then prove that a^(2)+b^(2)=1 .

If acos theta+bsin theta=4 and a sin theta-b cos theta=3 ,then find the value of a^(2)+b^(2)

If a cos theta + b sin theta =4 and a sin theta- b cos theta = 3 " then" a^(2) + b^(2) is equal to

If A = [(cos theta, sin theta),(-sin theta, cos theta)] and B = [(sin theta, - cos theta), (cos theta, sin theta)] , evaluate A cos theta + B sin theta .

If a = Cos theta - Sin theta, b = Cos^(3) theta - Sin^(3) theta , then

If a cos theta+b sin theta=3 and a sin theta-b cos theta=4 then a^(2)+b^(2) has the value