" If "sin beta" is the G.M.between "sin alpha" and "cos alpha" then "cos2 beta

If sin beta is the G.M between sin alpha and cos alpha , then cos 2 beta is

If sin beta is the G.M between sin alpha and cos alpha then (cos alpha - sin alpha)^(2) - 2 cos^(2) beta =

If sin beta is geometric mean between sin alpha and cos alpha, then cos2 beta=

If sin beta is the GM between sin alpha and cos alpha then (cos alpha-sin alpha)^(2)-2(cos beta)^(2)=

If sin beta is the geometric mean between sin alpha and cos alpha then cos2 beta=

If x cos alpha + y sin alpha = x cos beta + y sin beta "then" (sin alpha - cos alpha - sin beta + cos beta)/(sin alpha + cos alpha - sin beta - cos beta)=

(i) sin (alpha + beta) = sin alpha cos beta + cos alpha sin beta) (ii) sin (alpha-beta)= sin alpha cos beta- cos alpha sin beta Proof

(cos alpha + cos beta)/( sin alpha - sin beta) + (sin alpha + sin beta)/( cos alpha - cos beta ) =

Evaluate: quad =|cos alpha cos beta cos alpha sin beta-sin alpha-sin beta cos beta0sin alpha cos beta sin alpha sin beta cos alpha|

"Show that :" 2 sin^(2) beta + 4 cos ( alpha + beta) sin alpha sin beta + cos2 (alpha + beta) = cos2 alpha