Download Math 191 Exercises - Trigonometry Q1. Find all solutions of the

Math 191 Exercises - Trigonometry
Q1. Find all solutions of the given equations.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Q2. Given that
find
.
Q3. Given that
find
.
Q4. Given that
find
.
Q5. Given that
find
.
Q6. In the following, convert the given radian measures to degrees.
1.
2.
3.
4.
5.
6.
7. 3
Q7. In the following, convert the given degree measures to radians.
1. 180◦
2.
3.
4.
5.
6.
7.
8.
270◦
120◦
30◦
40◦
80◦
450◦
390◦
Q8. A person 100 feet from the base of a tower measures an angle of 60◦ from the ground to the top of
the tower.
a) Find the height of the tower.
b) What angle is measured if the person is 200 feet from the base?
Q9. A person sitting 2 miles from a rocket launch site measures 20◦ up to the current location of the
rocket. How high up is the rocket?
Q10. Evaluate the following.
1.
2.
3.
Q11. A ladder of length 6m leans against a wall. The foot of the ladder is at a distance of 3m from the
base of the wall. Calculate the angle between the ladder and ground.
Q12. A straight line inserted at the origin terminates at the point (3, 2) as it sweeps out an angle θ in
standard position. Evaluate all six functions of θ.
Q13. A straight line from the origin sweeps out an angle θ, and it terminates at the point (3, −4).
Evaluate the six functions of θ.
Q14. Evaluate tan 120°.
Q15. Evaluate sec (−45°).
Q16. Evaluate each of the following.
a) sin 150°
b) cos 135°
c) tan 240°
d) cosec (−30)°
Q17. Evaluate the following.
a) cos (−30°)
b) cos (−60°)
c) cos (−45°)
d) sin (−30°)
e) sin (−60°)
f) sin (−45°)