5. If sec theta+tan theta=p, then find the value of sec theta-tan theta
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Step-by-step explanation:
It is given that ,
Sec A + tan A = p ---( 1 )
By Trigonometric identity :
Sec²A - tan² A = 1
Algebraic identity :
a² - b² = ( a + b )( a - b )
Sec² A - tan² A = 1
( SecA + tan A )( secA - tanA ) = 1
p × ( sec A - tan A ) = 1 [ from ( 1 ) ]
Sec A - tan A = 1/p
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Here is the answer
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