Question

if cosA =7/25 then find tanA+cotA

Answer 1

cos A = adjacent/hypotenuse
adj=7
hypo=25
so applying Pythagoras theorem
we get opp=24
now tanA=opp/adj
=24/7
cotA=7/24
adding both we get
625/168


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Answer 2

Heya Mate!!!

CosA= Base/Hypotenuse = 7/25

perpendicular = ?

By Using Pythagorean Theorem..

H² = P² + B²

25² = P² + 7²

P² = 25² - 7²

P² = 625 - 49

P² = 576

(P)² = (24)²

SQUARE CANCELLED BOTH SIDE...
WE GET

P = 24

NOW , WE HAVE

P = 24
H = 25
B = 7


TanA = P/B

= 24/7

CotA = B/P

= 7/24



Then putting these value in...
tanA + CotA

= (24/7) + ( 7/24)

= (24 × 7 + 7 × 24)/168

= (168 + 168)/168

= ( 336)/168

= 2


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