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1
cos thetha = adjacent side / hypotenuse
= 7/25
tan thetha = opposite side/adjacent side
= 24/7
since 24,7,25 are Pythagorean triplets
Answered by
2
Given, in a right angle triangle ABC with right triangle at B in which
a =24 units b = 25 units and ∠BAC= θ
Using Pythagoras theorem,
AC^2 = AB^2 + BC^2
=> 25^2 = AB^2 + 24^2
=> 625 = AB^2 + 576
=> AB^2 = 625 - 576
=> AB^2 = 49
=> AB = √49
=> AB = 7
Now, cos θ = AB/AC
=> cos θ = 7/25
and tan θ = BC/AB
=> tan θ = 24/7
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