`(1+tanalphatanbeta)^2+(tanalpha-tanbeta)^2=`

A tree standing on horizontal plane is leaning towards east. At two points situated at distances a and b exactly due west on it, angles of elevation of the top are respectively alpha and beta . Prove that height of the top from the ground is ((b-a).tanalpha.tanbeta)/(tanalpha-tanbeta)

If tanalpha=(1-cosbeta)/(sinbeta),t h e n (a) tan3alpha=tan2beta (b) tan2alpha=tanbeta (c) tan2beta=tanalpha (d) none of these

An aeroplane is flying above a horizontal plane. The angle of depression of two consecutive mile stones at plane in opposite directions are respectively alpha and beta . Prove that height of the aeroplane is (tanalphatanbeta)/(tanalpha+tanbeta)

If tan(alpha-beta)=(sin2beta,)/(3-cos2beta) then (a) tanalpha=2tanbeta (b) tanbeta=2tanalpha (c) 2tanalpha=3tanbeta (d) 3tanalpha=2tanbeta

If tan(alpha-beta)=(sin2beta,)/(3-cos2beta) then (a) tanalpha=2tanbeta (b) tanbeta=2tanalpha (c) 2tanalpha=3tanbeta (d) 3tanalpha=2tanbeta

If tan(alpha-beta)=(sin2beta,)/(3-cos2beta) then (a) tanalpha=2tanbeta (b) tanbeta=2tanalpha (c) 2tanalpha=3tanbeta (d) 3tanalpha=2tanbeta

If tantheta=(tanalpha+tanbeta)/(1+tanalphatanbeta) ,then show that sin2theta=(sin2alpha+sin2beta)/(1+sin2alphasin2beta)

By geometrical interpretation, prove that tan(alpha+beta)=(tanalpha+tanbeta)/(1-tanalphatanbeta) .

Prove that tan(alpha-beta)=(tanalpha-tanbeta)/(1+tanalphatanbeta)

Prove that tan(alpha+beta)=(tanalpha+tanbeta)/(1-tanalphatanbeta)