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Directions: In Question $19$ and $20$, Assertion (A) and Reason (R) are given. Select the correct option from the following :
(A) Both Assertion (A) and Reason (R) are true. Reason (R) is the correct explanation of Assertion (A).
(B) Both Assertion (A) and Reason (R) are true. Reason (R) does not give correct explanation of (A).
(C) Assertion (A) is true but Reason (R) is not true.
(D) Assertion (A) is not true but Reason (R) is true.
Assertion (A): If $\sin A = \frac{1}{3}$ ($0^\circ < A < 90^\circ$), then the value of $\cos A$ is $\frac{2\sqrt{2}}{3}$
Reason (R): For every angle $\theta$, $\sin^2\theta + \cos^2\theta = 1$.
(A) Both Assertion (A) and Reason (R) are true. Reason (R) is the correct explanation of Assertion (A).
(B) Both Assertion (A) and Reason (R) are true. Reason (R) does not give correct explanation of (A).
(C) Assertion (A) is true but Reason (R) is not true.
(D) Assertion (A) is not true but Reason (R) is true.
Assertion (A): If $\sin A = \frac{1}{3}$ ($0^\circ < A < 90^\circ$), then the value of $\cos A$ is $\frac{2\sqrt{2}}{3}$
Reason (R): For every angle $\theta$, $\sin^2\theta + \cos^2\theta = 1$.
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(A) Both Assertion (A) and (R) are true. Reason (R) is the correct explanation of Assertion (A)