Question

Assertion (A): Range of cot x is (0,7)
Reason (R): Domain of tan x is R.​

Answer 1

Step-by-step explanation:

Both the statements are TRUE and STATEMENT 2 is NOT the correct explanation of STATEMENT 1

f(x)=tanx

Then for all xϵ(−∞,∞) f(x)ϵ(−∞,∞).

The same is applicable for f(x)=cotx.

That is why, the domain of tan

−1

(x) and cot

−1

(x) is R.

Also, the range of f(x)=tanx and f(x)=cot(x) indicate that, they are unbounded function, unlike sin(x) or cos(x) which are bounded functions, whith range of values between -1 and 1 only.

Thus the reason is correct but is not the correct explanation for the assertion