If sec+tan=4/3 then sec×tan
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Answer:
sec+ tan = 4/3
As sec^2 - tan^2 = 1
( sec+ tan) ( sec - tan) = 1
sec - tan = 3/4
Add both
2 sec
= 4/3 + 3/4
= 16 + 9)/ 12
= 25/12
sec = 25/24
subtract both
2tan
= 4/3 - 3/4
= 16 - 9)/ 12
= 7/12
tan = 7/24
Sec tan = 25/24 × 7/24
= 175/576
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