What is the value of $\sin 30^\circ + \cos 60^\circ$?
$\frac{3}{2}$
From standard trigonometric ratios:
Substituting these values into the expression:
sin 30° + cos 60° = 1/2 + 1/2 = 1
Therefore, the value of sin 30° + cos 60° is:
1
Directions: In Question Numbers 19 and 20, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option from the following:
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true, but Reason (R) is false.
(D) Assertion (A) is false, but Reason (R) is true.
Assertion (A): For any two prime numbers $p$ and $q$, their HCF is 1 and LCM is $p + q$.
Reason (R): For any two natural numbers, HCF × LCM = product of numbers.