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,

$\cos (x)=\frac{5}{9}$

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

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

3) Given,

$5\tan (x)=6$

Simplifying and solving for x (using inverse tangent):

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