Grade 9Trigonometry
If tan x = a/b , proove sine square x + cos square x=1
1 Answer
Arun
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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