यदि ` 2sin theta =x+ (1)/(x) ,` सिद्ध कीजिए| ` sin 3theta +(1)/(2) (x^(3) +( 1)/(x^(3)) )= 0 `

tan theta+sec theta=x show that 2tan theta=x-(1)/(x),2sec theta=x+(1)/(x) hence prove that sin theta=(x^(2)-1)/(x^(2)+1)

If x = a cos ^ (2) theta sin theta and y = a sin ^ (2) theta cos theta then ((x ^ (2) + y ^ (2)) ^ (3)) / (x ^ (2 ) and ^ (2)) =

The roots of the equation |(3x^(2),x^(2) + x cos theta + cos^(2) theta ,x^(2) + x sin theta + sin^(2) theta),(x^(2) + x cos theta + cos^(2) theta,3 cos^(2) theta,1 + (sin 2 theta)/(2)),(x^(2) + x sin theta + sin^(2) theta,1 + (sin 2 theta)/(2),3 sin^(2) theta)| = 0

If (a cos theta_(1), a sin theta_(1)), ( a cos theta_(2), a sin theta_(2)), (a costheta_(3), a sin theta_(3)) represents the vertices of an equilateral triangle inscribed in x^(2) + y^(2) = a^(2) , then

If (a cos theta_(1), a sin theta_(1)), ( a cos theta_(2), a sin theta_(2)), (a costheta_(3), a sin theta_(3)) represents the vertices of an equilateral triangle inscribed in x^(2) + y^(2) = a^(2) , then

If sin theta+cos theta=x, then (4-3(x^(2)-1)^(2))/(4)=

If sin theta+cos theta=x, then (4-3(x^(2)-1)^(2))/(4)=

x=a cos^(3)theta,y=b sin^(3)theta : ((x)/(a))^(2/3)+((y)/(b))^(2/3)=1