Question

Assertion :The equation $sinx=1$ has infinite number of solution. Reason: The domain of $f\left(x\right)=sinx$ is $(-\infty ,\infty ),sinx$ is a periodic function and maximum value of sin x is 1.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

General solution for $sinx=1$ is given by :

$2n\pi +\frac{\pi }{2}$
and for $\infty >x>-\infty$ ,

$\to sinx=1$ has infinitess solution
Hence the Reason is the correct explanation for the Assertion