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Which is equal to cos⁡75∘\cos 75^\circ? \newlineChoices:\newline(A) sin⁡15∘\sin 15^\circ\newline(B) sin⁡75∘\sin 75^\circ\newline(C) cos⁡15∘\cos 15^\circ\newline(D) cos⁡25∘\cos 25^\circ

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Full solution

Q. Which is equal to cos⁡75∘\cos 75^\circ? \newlineChoices:\newline(A) sin⁡15∘\sin 15^\circ\newline(B) sin⁡75∘\sin 75^\circ\newline(C) cos⁡15∘\cos 15^\circ\newline(D) cos⁡25∘\cos 25^\circ
  1. Use Identity: Use the identity cos⁡(90°−θ)=sin⁡(θ)\cos(90° - \theta) = \sin(\theta) to find a related angle.\newlinecos⁡75°=cos⁡(90°−15°)=sin⁡15°\cos 75° = \cos(90° - 15°) = \sin 15°.
  2. Find Related Angle: Check the choices to see which one matches sin⁡15∘\sin 15^\circ. The correct match from the choices is sin⁡15∘\sin 15^\circ.

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