Question

Type in the value for each trig ratio for the triangle below: SIMPLIFY FRACTIONS G 45 36 B. 27 A sinA = COSA cosC=

Answer 1

Remember the definitions of the trigonometric ratios on a right triangle:

`\sin (A)=\frac{\text{Side opposed to A}}{Hypotenuse}`
`\cos (A)=\frac{\text{Side adjacent to A}}{\text{ Hypotenuse}}`
`\tan (A)=\frac{\text{Side opposed to A}}{\text{ Side adjacent to A}}`

Then, from the given information on the diagram:

`\begin{gathered} \sin A=(36)/(45)=(4)/(5) \\ \cos A=(27)/(45)=(3)/(5) \\ \cos C=(36)/(45)=(4)/(5) \\ \tan C=(27)/(36)=(3)/(4) \end{gathered}`