Question

if cosA 7/25 find The value of tanA +cotA

Answer 1

opposite side=24
adjacent side=7
tanA=24/7
cotA=7/24
24/7×7/24
=168/168
=1

Answer 2

Hey !!


Cos A = 7/25 = B/H




B = 7 and H = 25.



By Pythagoras theroem,



( H )² = ( B )² + (P)²


( P )² = (H )² - ( B )²


( P)² = (25)² - (7)²


P² = 576


P = √576 = 24 .



Tan A = P/B = 24/7


And,

CotA = B/P = 7/24.



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Tan A + Cot A = 24/7 + 7/24




=> ( 24 × 24 ) + ( 7 × 7 ) / 168



=> 625/168.