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If tan x = a/b , proove sine square x + cos square x=1

If tan x = a/b , proove sine square x + cos square x=1

Grade:9

1 Answers

Arun
25750 Points
6 years ago
Dear Kamal
 
If tan x = a/b
Then
 
sin x = a/sqrt(a²+b²)
cos x = b/ sqrt(a²+b²)
 
Hence
sin²x = a²/(a²+b²)
cos²x = b²/(a²+b²)
 
Now sin²x + cos²x = (a²+b²)/(a²+b²) = 1
 
 
Regards
Arun (askIITians forum expert)

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