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Which is equal to cos60 \cos 60^\circ ? \newlineChoices:\newline(A) sin30 \sin 30^\circ \newline(B) sin60 \sin 60^\circ \newline(C) cos30 \cos 30^\circ \newline(D) cos60 \cos 60^\circ

Full solution

Q. Which is equal to cos60 \cos 60^\circ ? \newlineChoices:\newline(A) sin30 \sin 30^\circ \newline(B) sin60 \sin 60^\circ \newline(C) cos30 \cos 30^\circ \newline(D) cos60 \cos 60^\circ
  1. Recall cos60° value: Recall the value of cos60° from the unit circle or trigonometric identities. Cos60° is a commonly known value in trigonometry.
  2. Determine cos60° value: Determine the value of cos60°. Cos60° is equal to 1/2.
  3. Compare with given choices: Compare the value of cos60° with the given choices. We need to find which choice has the same value as 1/2.
  4. Evaluate sin30°: Evaluate sin30°. Sin30° is also a commonly known value, which is equal to 1/2.
  5. Check equality of sin30° and cos60°: Check if sin30° is equal to cos60°. Since both are equal to `1/2,` sin30° is equal to cos60°.
  6. Conclude correct choice: Conclude that the correct choice is sin30°, which is equal to cos60°.

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