6 Right triangle \( T M R \) is a scalene triangle with the right angle at \( M \). Which equation is true?
(1) \( \sin M=\cos T \)
(3) \( \sin T=\cos R \)
(2) \( \sin R=\cos R \)
(4) \( \sin T=\cos M \)

Answer

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Answer

Apply this relationship to the triangle: \( \sin R = \cos T \)

Steps

Step 1 ：Since \( T M R \) is a right triangle with right angle at \( M \)

Step 2 ：Utilize the relationship: \( \sin (90 - x) = \cos x \)

Step 3 ：Apply this relationship to the triangle: \( \sin R = \cos T \)