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Which is equal to sin⁡45∘\sin 45^\circ? \newlineChoices:\newline(A) cos⁡45∘\cos 45^\circ\newline(B) cos⁡55∘\cos 55^\circ\newline(C) sin⁡55∘\sin 55^\circ\newline(D) sin⁡35∘\sin 35^\circ

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Full solution

Q. Which is equal to sin⁡45∘\sin 45^\circ? \newlineChoices:\newline(A) cos⁡45∘\cos 45^\circ\newline(B) cos⁡55∘\cos 55^\circ\newline(C) sin⁡55∘\sin 55^\circ\newline(D) sin⁡35∘\sin 35^\circ
  1. Identify Cofunctions: sin⁡45∘\sin 45^\circ is known to be equal to cos⁡45∘\cos 45^\circ because they are cofunctions of complementary angles.
  2. Establish Equality: So, sin⁡45∘=cos⁡45∘\sin 45^\circ = \cos 45^\circ.
  3. Compare Choices: Check the choices to see which one matches cos⁡45∘\cos 45^\circ.
  4. Select Correct Answer: The correct choice is cos⁡45∘\cos 45^\circ, which is the same as sin⁡45∘\sin 45^\circ.

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