If `tan x=(n sin alpha)/(1-n cos alpha)` Then,

If tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha) , then:

Simplify tan^-1[(3 sin 2alpha)/(5+3 cos2 alpha)]+tan^(-1)[(tan alpha)/4]

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 - cos alpha + sinalpha)/(1 + sin alpha) is equal to

If (2sinalpha)/({1+cos alpha+sin alpha})=y, then ({1-cos alpha+sin alpha})/(1+sin alpha)=

Prove by using principle of induction that: cos alpha+cos 2alpha+…+cos n alpha = sin. (nalpha)/2 cosec alpha/2 cos. ((n+1)alpha)/2

If tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha , then x^2= sin2\ alpha (b) sin\ alpha (c) cos2\ alpha (d) cos\ alpha

Prove that the equation of a line passes through the point (a cos^(3)alpha , a sin^(3)alpha ) and perpendicular to the line x tan alpha+y=a sin alpha is x cos alpha-y sin alpha-a cos 2 alpha .

If m tan(alpha-theta)/( cos^2 theta) = n (tan theta)/ (cos^2 (alpha - theta) the prove that 2 theta = alpha - [ tan^(-1) ((n-m)/(n+m)) tan alpha]

If sin (theta + alpha ) = cos ( theta + alpha), prove that tan theta =(1- tan alpha )/(1 + tan alpha )

If cos theta=(cos alpha cos beta)/(1-sin alpha sin beta), prove that one value of (tan) theta/2=(tan alpha/2-tan beta/2)/(1-t a n alpha/2 tan beta/2).