Question

Find $\sin D$ , $\sin E$ , $\cos D$ , and $\cos E$ . Write each answer as a fraction in simplest form.

Answer 1

The value of sinD, sin E and cos D are 4/5, 3/5 and 3/5 respectively

SOH CAH TOA identity

According to SOH CAH TOA identity;

• sin theta = opp/hyp
• cos theta = adj/hyp
• tan theta = opp/adj

From the figure

Hypotenuse = 15

For sinm<D

sin D = EF/DE
sin D = 12/15

sinD = 4/5

For the trig function sin E

sin E = FD/DE
Sin E = 9/15

sinE = 3/5

For the trig function cos D:

cos D = FD/DE
cos D = 9/15

cos D = 3/5

Hence the value of sinD, sin E and cos D are 4/5, 3/5 and 3/5 respectively

Learn more on trigonomtry here: brainly.com/question/24349828