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Given :-
secθ + tanθ = p
To Find :-
secθ - tanθ
Answer :-
1 / p
Solution :-
We know ,
sec² θ - tan² θ = 1
=> ( secθ )² - ( tanθ )² = 1
=> ( secθ + tanθ ) ( secθ - tanθ ) = 1
[ • Using Identity , a² - b² = ( a + b ) ( a - b ) ]
=> p × ( secθ - tanθ ) = 1
=> ( secθ - tanθ ) = 1 / p [ • Required Answer ]
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