Question #ef0d7

1 Answer
Shiva Prakash M V
Feb 15, 2018

#x/(sqrt(a^2+x^2)# is sin A

Explanation:

Given:
#tanA=a/x#
To find:
#x/(sqrt(a^2+x^2)#
tan A is the ratio of opposite side to the adjacent side.
The hypotenuse can be determined by applying the pythagoras theorem,
Thus #sqrt(a^2+x^2)# represents the hypotenuse
Now,
x is the opposite side
#sqrt(a^2+x^2)# is the hypotenuse
#x/(sqrt(a^2+x^2)# represents opposite side /hypotenuse
sin A is the ratio of opposite side / hypotenuse
Hence,
#x/(sqrt(a^2+x^2)# is sin A

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