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

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Full solution

Q. Which is equal to cos⁡45∘ \cos 45^\circ ? \newlineChoices:\newline(A) sin⁡45∘ \sin 45^\circ \newline(B) sin⁡55∘ \sin 55^\circ \newline(C) cos⁡55∘ \cos 55^\circ \newline(D) cos⁡35∘ \cos 35^\circ
  1. Cofunctions of Complementary Angles: cos⁡45∘\cos 45^\circ is known to be equal to sin⁡45∘\sin 45^\circ because they are cofunctions of complementary angles.
  2. Using Trigonometric Identity: So, cos⁡45∘=sin⁡(90∘−45∘)=sin⁡45∘\cos 45^\circ = \sin(90^\circ - 45^\circ) = \sin 45^\circ.
  3. Final Answer: Therefore, the correct choice is sin⁡45∘\sin 45^\circ.

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