If `pi/2 lt alpha lt pi` then the distance between two points `(tan alpha,2)` and `(0,1)` is

If (pi)/(2)

If pi//2 lt theta lt pi then the distance between the points (cot theta, 3),(0,2) is

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

If 0 lt alpha lt pi/6 , then the value of (alpha cosec alpha ) is

If 0 lt alpha lt pi/6 , then the value of (alpha cosec alpha ) is

If 0 lt alpha lt (pi)/(6) then alpha(cosec alpha) is

If 0 lt alpha lt pi/6 , then the value of (alpha cosec alpha ) is

If (3pi)/(2) lt alpha lt 2 pi , find the modulus and argument of (1 - cos 2 alpha) + i sin 2 alpha .

If cos alpha = (-3)/5 and sin beta = 7/25 where (pi)/2 lt alpha lt pi and 0 lt beta lt (pi)/2 then find the values of tan (alpha + beta) and sin (alpha + beta) .