If y = 1 + c o s α + s i n α 2 s i n α , then value of 1 + s i n α 1 − c o s α + s i n α is

Question

If y = 1 + c o s α + s i n α 2 s i n α ​ , then value of 1 + s i n α 1 − c o s α + s i n α ​ is

TestHub · Accepted Answer

​ 1 + sin α 1 − cos α + sin α ​ = 1 + sin α 1 − cos α + sin α ​ ⋅ 1 + cos α + sin α 1 + cos α + sin α ​ = ( 1 + sin α ) ( 1 + cos α + sin α ) ( 1 + sin α ) 2 − cos 2 α ​ = ( 1 + sin α ) ( 1 + cos α + sin α ) 2 sin α ( 1 + sin α ) ​ = 1 + cos α + sin α 2 sin α ​ = y ​

Mathematics - Trigonometric Equation Question with Solution | TestHub

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