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Let X={thetain[0,2pi]:sintheta=costheta...

Let `X={thetain[0,2pi]:sintheta=costheta}`
Assertion (A) : The number of elements in X is 2.
Reason ( R ) : `sinthetaandcostheta` are both negative both in second and fourth quadrants.

A

Both A and R are individually true , and R is the correct explanation of A .

B

Both A and R are individually true but R is not the correct explanation of A .

C

A is true but R is false .

D

A is false but R is true.

Text Solution

Verified by Experts

The correct Answer is:
C
`(A):X={thetain[0,2pi]:sintheta=costheta}`
Number of elements in x is 2 . Since , sin `theta=costheta` is possible at `theta=45^(@)and225^(@)`
Since , `costheta` is negative in II nd quadrant but `sintheta` is positive , R is false.
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