Assertion-Reason-Type-Question-STATEMENT-1-f-x-log-cosx-sinx-is-well-defined-in-0-pi-2-and-STATEMENT-2-sinx-and-cosx-are-positive-in-0-pi-2-

Question Number 18474 by Tinkutara last updated on 22/Jul/17

Assertion - Reason Type Question

STATEMENT - 1 : f (x) = \log_{\cos x} \sin x is

well defined in (0, \frac{π}{2}) .

and

STATEMENT - 2 : \sin x and \cos x are

positive in (0, \frac{π}{2}) .

Answered by sushmitak last updated on 22/Jul/17

1 true

2 true

2 is correct explaination for 1 .

Commented by Tinkutara last updated on 22/Jul/17

But answer is both are true but 2 is not

explanation of 1 .

Commented by sushmitak last updated on 23/Jul/17

\log_{x} y is defined for x > 0 and x \neq 1

and y > 0 .

Commented by Tinkutara last updated on 23/Jul/17

Thanks Sir!