Question

question 3
if \\( \tan ( t ) \approx 0.55 \\), and \\( \sin ( t ) \approx 0.48 \\), find \\( \cos ( t ) \\). round to 2 decimal places.
\\( \cos ( t ) \approx \\)
question help: \\( \square \\) message instructor

Explanation:

Step1: Use the formula for tangent

Recall that \(\tan(t)=\frac{\sin(t)}{\cos(t)}\).

Step2: Solve for \(\cos(t)\)

Rearrange the formula to \(\cos(t)=\frac{\sin(t)}{\tan(t)}\).
Substitute \(\sin(t) \approx 0.48\) and \(\tan(t)\approx0.55\) into the formula: \(\cos(t)=\frac{0.48}{0.55}\).

Step3: Calculate the value

\(\frac{0.48}{0.55}\approx0.87\)

Answer:

\(0.87\)