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Answered by
1
Answer
12/25
Explanation:
sec=5/4=h/b
p2+b2=h2
p2=h2-b2
=(5)^2-(4)^2
=25-16
p2=9
p=√9
p=3
therefore,
tan alpha=p/b
=3/4
Now,
tan alpha
________
1 + tan2 alpha
= 3/4
_______
1 + (3/4)^2
= 3/4
________
1 + 9/16
= 3/4
______
16+9
--------
16
= 3/4
_______
25/16
= 3/4×16/25
= 12/25(Ans)
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