If `0 lt alpha lt beta lt pi/2,` and if `tanbeta/tanalpha gt k,` then `k` is

If 0 lt alpha lt beta lt (pi)/(2) then

If 0 lt alpha lt beta lt ( pi )/( 2) , and if ( tan beta)/( tan alpha) gt k , then k is

If 0 lt alpha lt beta lt (pi)/(2) , prove that, tan alpha-tan beta lt alpha-beta .

[ 7.If 0ltalphaltbetalt(pi)/(2) then [ 1) (tan beta)/(tan alpha)lt(alpha)/(beta), 2) (tan beta)/(tan alpha)gt(alpha)/(beta) 3) (tan alpha)/(tan beta)lt(alpha)/(beta) , 4) none ]]

If 0 lt alpha , beta lt pi//4, cos ( alpha + beta )=4//5 , sin (alpha - beta) =5//13 " then " tan 2alpha =

If 0 lt alpha, beta lt pi and they satisfy cos alpha + cosbeta - cos(alpha + beta)=3/2

If 0 lt alpha, beta lt pi and they satisfy cos alpha + cosbeta - cos(alpha + beta)=3/2

If sin alpha = 3/5, tan beta = 1/2 and pi/2 lt alpha lt pi lt beta lt (3pi)/2 , show that 8 tan alpha - sqrt(5) sec beta = - 7/2 .