Question

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

Answer 1

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

 

Answer 2

The correct answers are:

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