question 3\nif \\( \\tan ( t ) \\approx 0.55 \\), and \\( \\sin ( t ) \\approx 0.48 \\), find \\( \\cos ( t…

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

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

Answer

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)