Question

Use this triangle to calculate the specified trigonometric values.

Calculate sin

Answer 1

x/12

Answer 2

x/12 = degree

Answer 3

lorda mercy

Answer 4

\[\cos(\theta)=\frac{10}{12}=\frac{5}{6}\]

Answer 5

\[\theta=\cos^{-1}(\frac{5}{6})\]

Answer 6

now use a caclulator

Answer 7

and how do you get tan?

Answer 8

you need the third side. use pythagoras

Answer 9

oh you just need sine? third side is
\[\sqrt{12^2-10^2}\]

Answer 10

which is
\[\sqrt{44}=2\sqrt{11}\]

Answer 11

for sin or tan?

Answer 12

so
\[\sin(\theta)=\frac{2\sqrt{11}}{12}=\frac{\sqrt{11}}{6}\]

Answer 13

and
\[\tan(\theta)=\frac{\sqrt{11}}{5}\]

Answer 14

\[\text{Sin}\left[\text{ArcCos}\left[\frac{10}{12}\right]\right]=\frac{\sqrt{11}}{6}=0.552771 \]