Is this statement always, sometimes, or never true?If ∠L is an angle in a right triangle and m∠L is between 30° and 50°, then sin(L)=cos(L).alwayssometimesneverSubmit
Question
Is this statement always, sometimes, or never true?If ∠L is an angle in a right triangle and m∠L is between 30° and 50°, then sin(L)=cos(L).alwayssometimesneverSubmit
Solution
The statement is never true. In a right triangle, the sine of an angle is the cosine of its complement, not the angle itself. Since ∠L is between 30° and 50°, its complement (90° - ∠L) is between 40° and 60°. Therefore, sin(L) does not equal cos(L).
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