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nordsb [41]
3 years ago
12

Which trigonometric ratios are correct for triangle DEF? Check all that apply.

Biology
2 answers:
Musya8 [376]3 years ago
5 0

According to the given right angled triangle DEF, the EF and DF are given, so we will find the unknown side ED.

ED can be found using the Pythagoras theorem.

ED^{2}=EF^{2}+DF^{2}

ED^{2}=24^{2}+7^{2}

ED^{2}=576+49=625

Taking square root on both sides, we get

ED=25

1. \sin D=\frac{EF}{ED}=\frac{24}{25}   .... correct

2. \cos E=\frac{EF}{ED}=\frac{24}{25}     .... incorrect

3. \tan D=\frac{EF}{FD}=\frac{24}{7}   ..... correct

4. \sin E=\frac{FD}{ED}=\frac{7}{25}     .... correct

5. \tan D=\frac{EF}{FD}=\frac{24}{7}    ....incorrect

 

Vlada [557]3 years ago
3 0
The correct answers are:

sin(D) = 24/25
tan(D) = 24/7
sin (E) = 7/25
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