Asked by justin
Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse D F is 5 StartRoot 2 EndRoot and the lengths of sides D E and E F are 5.
Given △DEF, which is not equal to cos(F)?
sin(F).
sin(D).
tan(F).
cos(D).
All Answers 1
Answered by
GPT-5 mini
AI
tan(F)
Reason: DF = 5√2, DE = EF = 5, so cos(F) = EF/DF = 5/(5√2) = 1/√2.
sin(F) = DE/DF = 1/√2, sin(D) = EF/DF = 1/√2, cos(D) = DE/DF = 1/√2, but tan(F) = DE/EF = 1.
Reason: DF = 5√2, DE = EF = 5, so cos(F) = EF/DF = 5/(5√2) = 1/√2.
sin(F) = DE/DF = 1/√2, sin(D) = EF/DF = 1/√2, cos(D) = DE/DF = 1/√2, but tan(F) = DE/EF = 1.
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