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Hey!!!!
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We have
let theta = A (easy for typing)
=> sinA/(1 - cosA)
Multiply and divide by (1 + cosA)
=> sinA(1 + cosA)/(1 - cosA)(1 + cosA)
=> sinA(1 + cosA)/1 - cos²A
We know 1 - cos²A = sin²A
=> sinA(1 + cosA)/sin²A
Cancelling sinA
=> (1 + cosA)/sinA
=> 1/sinA + cosA/sinA
=> cosecA + cotA
________
Hope this helps ✌️
_______
We have
let theta = A (easy for typing)
=> sinA/(1 - cosA)
Multiply and divide by (1 + cosA)
=> sinA(1 + cosA)/(1 - cosA)(1 + cosA)
=> sinA(1 + cosA)/1 - cos²A
We know 1 - cos²A = sin²A
=> sinA(1 + cosA)/sin²A
Cancelling sinA
=> (1 + cosA)/sinA
=> 1/sinA + cosA/sinA
=> cosecA + cotA
________
Hope this helps ✌️
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