Question

Question 1:Solve the following equation for (in degrees). Round your answer to two decimal places.Sin (x) = 0.874 Question 2: Solve the following equation for x (in degrees). Round to the nearest whole number. Cos (x) = 5/9Question 3:Solve the following equation for x (in degrees). Round to the nearest whole number. 5 × tan (x) = 6

Answer 1

1)

Given,

`\sin (x)=0.874`

We need to take the inverse sine to find out x. Shown below:

`\begin{gathered} x=\sin ^(-1)(0.874) \\ x=60.93\degree \end{gathered}`

2)

Given,

`\cos (x)=(5)/(9)`

We need to take the inverse cosine to find out x. Shown below:

`\begin{gathered} x=\cos ^(-1)((5)/(9)) \\ x=56.25\degree \end{gathered}`

3) Given,

`5\tan (x)=6`

Simplifying and solving for x (using inverse tangent):

`\begin{gathered} 5\tan (x)=6 \\ \tan (x)=(6)/(5) \\ x=\tan ^(-1)((6)/(5)) \\ x=50.19\degree \end{gathered}`