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If theta1 and theta2 are the angles ma...

If `theta_1 and theta_2` are the angles made by the lines `(x^2 +y^2)(cos^2theta sin^2 theta+sin^2theta)=(x tan alpha-y sin theta)^2` with positive axis of x in the anti-clock wise direction, if `theta=pi/6, tan theta_1 + tan theta_2` equals

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If theta_(1) and theta_(2) are the angles made by the lines (x^(2)+y^(2))(cos^(2)theta sin^(2)theta+sin^(2)theta)=(x tan alpha-y sin theta)^(2) with positive axis of x in the anti-clock wise direction, if theta=(pi)/(6),tan theta_(1)+tan theta_(2) equals

tan^2theta-sin^2theta=tan^2theta.sin^2theta

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if tan theta=(a)/(b), then cos2 theta+a sin2 theta equal to