If Tan A = P - 1 /4P then Sec A - tan A =
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tanθ=p−
4p
1
Let, secθ−tanθ=x…(1)
secθ+tanθ=
secθ−tanθ
1
then, secθ+tanθ=
x
1
…(2)
Subtracting (1) from (2), we get:
2tanθ=
x
1
−x=2p−
2p
1
We solve to get x= −2p or
2p
1
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