[" 7) Find the acute angle "theta" such that "2cos^(2)theta=],[3sin theta]

Find the acute angle theta such that 2cos^2theta=3sintheta .

Find the acute angle theta such that : 2sin theta-sqrt3 sec theta+1=0.

Find the acute angle theta if 4sin^(2) theta=3 .

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

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

If the angle 2 theta is acute, then the acute angle between the pair of lines x^(2)(cos theta-sin theta)+2 x y cos theta+y^(2)(cos theta+sin theta)=0 is

If 2 theta is an acute angle, then the acute angle between the two lines x^(2)(cos theta-sin theta)+2xy.cos theta +y^(2)(cos theta +sin theta)=0 is

If 3cot theta=4, find the value of (4cos theta-sin theta)/(2cos theta+sin theta)

If 3tan theta=4, find the value of (4cos theta-sin theta)/(2cos theta+sin theta)

For any acute angle theta , prove that: (i) sin^(2) theta + cos^(2) theta =1