if the product of the intercepts made by the straight line x tan alfa +y sin alfa =1(0<alfa<pi/2)on the coordinate axes in equal to sin alfa ,find alfa

Answer 1

I am going to take a guess at what you mean/want/need.

x tan α + y sin α = 1

y sin α = 1 - x tan α

y = csc α - x sec α

when x=0, y=csc α and when y = 0, x = cot α

Now which intercept do you have that equals sin α?