Question

Is it possible? Please give a quick answer

Answer 1

Hey mate

Heres go ⬇⬇⬇

Sec theta - tan theta = 4
(1-Sin theta)/Cos theta = 4
Multiply and divide by (1+Sin theta)
Thus 
   1-Sin^2 theta / Cos theta (1+Sin the ta) = 4
    Cos^2 theta/Cos theta(1+Sin theta) = 4
       Cos theta/ (1+Sin theta) = 4
     Root (1-Sin^2 theta) / 1+Sin theta = 4
 
Squaring both Sides
  
            1-Sin^2 theta / (1+Sin theta)^2 = 16
             (1-Sin theta)(1+Sin theta) / (1+Sin theta)^2 = 16
                   1-Sin theta / 1+Sin theta = 16
                     1-Sin theta = 16 + 16 Sin theta
                        17 Sin theta = -15
                           Sin theta = -15/17
 Thus                   Cosec theta = -17/15

✌✌✌✌

Answer 2

See image for your answer