Tan^2x+sec^2x=1 for all values of x.
true or false?
2 answers:
This is not true.


where is
is any integer. So suppose we pick some value of
other than these, say
. Then

The trigonometrical identity says : 1+tan^2x = sec^2 x that means
sec^2 x - tan^2 x = 1
However in our question, its tan^2 x + sec^2 x or say sec^2 x + tan^2 x = 1 which is completely against the identity.
Hense answer is False.
Additional information: There is, with a little difference, as equation which is true ie tan^2 x + sec x = 1 for some values of x.
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