Assignment:
Car Engine's Angular Speed
Q1.) The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2π radians = 1 revolution.
Q2.) Convert -60° to radians. Express the answer as a multiple of π
Q3.) Draw the following angle in standard the position:
7π /4
Q4.) In which quadrant will the angle 100° lie in the standard position?
Q5.) In which quadrant will the angle -350° lie in the standard position?
Q6.) Convert the following angle to degrees:
π/5
Q7.) Find a co-terminal angle for the following angle:
-268°
Q8.) Find the value of (sin 38°) (csc 38°)
Q9.) Use an identity to find the value of:
sin²50° + cos² 50°
Q10.) Find the radian measure of the central angle of a circle of radius r = 4 inches that intercepts an arc of length s = 20 inches.
Q11.) Classify the angle 101° as acute, right, obtuse, or straight.
Q12.) Find the length of the arc on a circle of radius r = 5 yards intercepted by a central angle ? = 70°
Q13.) Classify the angle as acute, right, obtuse, or straight.
Q14.) Classify the angle as acute, right, obtuse, or straight.
Provide complete and step by step solution for the question and show calculations and use formulas.