If sec theta plus tan theta is x then write the value of sec theta - tan theta in terms of x
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GIVEN :
- Secθ + Tanθ = x
TO FIND :
- Secθ - Tanθ IN TERMS OF x
SOLUTION:
Secθ + Tanθ = x ------(1)
WE KNOW THAT Sec^(2) θ - Tan^2 θ = 1
=> (secθ + Tanθ )(Secθ - Tanθ) = 1
=> Secθ - Tanθ (x) = 1 [∵ FROM EQ(1) ]
=> Secθ - Tanθ = 1/x
HOPE IT HELPS !!!!
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