Is this statement always, sometimes, or never true?If ∠X is an acute angle in a right triangle, then sin(X)=cos(X).alwayssometimesneverSubmit
Question
Is this statement always, sometimes, or never true?If ∠X is an acute angle in a right triangle, then sin(X)=cos(X).alwayssometimesneverSubmit
Solution
The statement is sometimes true. This happens specifically when ∠X equals 45 degrees. In a right triangle, the sine and cosine of 45 degrees are both equal to √2/2. However, for any other acute angle in a right triangle, sin(X) does not equal cos(X). Therefore, the statement is not always true, but it is not never true either. It is sometimes true.
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