Assertion (A) : cos1 < cos2 Reason(R) : In (0,π), cosx is decreasing function

# Assertion (A) :  Reason(R) : In  is decreasing function

1. A

A is true, R is true and R is correct

explanation of A

2. B

A is true, R is true and R is not correct
explanation of A

3. C

A is true, R is false

4. D

A is false, R is true

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

The assertion is $\mathrm{cos}1<\mathrm{cos}2$

1 means $57.29°$ and it lies in the first quadrant

and 2 means $114.58°$, it lies in the second quadrant.

The cosine function is posiitve in the first quadrant and negative in the second quadrant

hence, $\mathrm{cos}1<\mathrm{cos}2$

Therefore, Assertion is True.

To check the reason, consider the graph of the function $y=\mathrm{cos}x$ in the interval $\left(0,2\mathrm{\pi }\right)$

Therefore, Assertion and reason both are correct. and Reason is correct explanation of Assertion.  +91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)