Select all true equations \( \square \sin (24)=\cos (66) \) \( \square \tan (24)=\tan (66) \) \( \square \cos (\theta)=\sin (90-\theta) \) \( \square \sin (24)=\sin (66) \) \( \square \cos (24)=\sin (66) \)
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Beyond the Answer
Let's explore the truth behind these equations! First up, the equation \( \cos(\theta) = \sin(90 - \theta) \) is a trigonometric identity that holds true for all angles. It's like a classic dance move that always works—no matter the angle, you can count on it to get your calculations in sync! Now, when it comes to the equation \( \sin(24) = \cos(66) \), this is also true because of the co-function identity where \( \sin(x) = \cos(90 - x) \), and since \( 66 = 90 - 24 \), they match perfectly! So bring out the party hats; we've got two true equations in our lineup!