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Which is equal to sin⁡30∘ \sin 30^\circ ? \newlineChoices:\newline(A) cos⁡60∘ \cos 60^\circ \newline(B) cos⁡30∘ \cos 30^\circ \newline(C) sin⁡60∘ \sin 60^\circ \newline(D) sin⁡30∘ \sin 30^\circ

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Full solution

Q. Which is equal to sin⁡30∘ \sin 30^\circ ? \newlineChoices:\newline(A) cos⁡60∘ \cos 60^\circ \newline(B) cos⁡30∘ \cos 30^\circ \newline(C) sin⁡60∘ \sin 60^\circ \newline(D) sin⁡30∘ \sin 30^\circ
  1. Use of sin⁡30°\sin 30°: sin⁡30°\sin 30° is known to be equal to 12\frac{1}{2}.
  2. Use of cos⁡60°\cos60°: cos⁡60°\cos60° is also known to be equal to 12\frac{1}{2}.
  3. Equality of sin⁡30∘\sin 30^\circ and cos⁡60∘\cos 60^\circ: Therefore, sin⁡30∘\sin 30^\circ is equal to cos⁡60∘\cos 60^\circ.

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