if sin theta = 24/25 then find the value of tan theta + sec theta

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Sin theta = 24/25
from pythagoras theorem one side = (25^2-24^2 ) = 7
tan theta = 24/7
sec theta = 25/7
tan theta + tan theta = 24/7+25/7=49/7=7
 
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sin theta= 24/25= P/H
let, k= P=24k and H=25k
By pythagoras theorm,
(H)= (P)2+(B)2
(B)2= (H)2- (P)2
(B)2= (25K)2-(24K)2
(B)2= 625K2- 576K2
(B)2= 49K2
B= 7K
Cos theta= B/H =7K/25K=7/25
Sec theta= 1/cos theta=1/7/25=25/7
Tan theta= sin theta/ cos theta= 24/7
tan theta+sec theta
24/7+25/7
24+25/7
49/7=7
 
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