Evaluating Trig Functions
Solving Right Triangles
Angle and Radian Measure
Trig Functions of Any Angle
No Calculator
Word Problems
100
Evaluate the
cos theta
cos theta = 8/17
100
Solve triangle ABC, where C is the right angle using the given measurements. Round answers to the nearest tenth.
B=57^o, a =7
A = 33^o, b=10.8, c=12.9
100
Find one positive and one negative angle that are coterminal to the given angle.
430^o
70^o,-290^o
100
Sketch the angle and then find its reference angle.
-820^o
80 degrees
100
Evaluate the function without using a calculator.
cos(-270^o)
0
100
The shadow of a kite measures 25 feet from the base of where you are standing. The angle of elevation to the sun is 31o. How long is the string for your kite? Round to the nearest foot.
29 feet
200
Evaluate the
cot theta
cot theta = sqrt3
200
Solve triangle ABC, where C is the right angle using the given measurements. Round answers to the nearest tenth.
A=17^o, a= 25
B=73^o, b=81.8, c=85.5
200
Find one positive and one negative angle that are coterminal to the given angle.
1019^o
659^o, 299^o, -61^0
200
Find the tangent and cosecant of theta.
tan theta =-15/8, csctheta=17/15
200
Evaluate the function without using a calculator.
csc ((13pi)/4)
-sqrt2
200
A sprinkler system on a farm rotates 170o and sprays water up to 27 meters. Find the area of the region to tthe nearest tenth.
1081.5 square meters
300
If
csc theta = 5
Find
tan theta
tan theta=sqrt6/12
300
Solve triangle ABC, where C is the right angle using the given measurements. Keep all answers exact!!
A=45^o,b=10
B=45^o, a=10, c=10sqrt2
300
Convert the degrees to radians or the radians to degrees.
(17pi)/9
340 degrees
300
Sketch the angle and then find its reference angle.
(23pi)/6
pi/6
300
Evaluate the function without using a calculator.
sin ((-10pi)/3)
sqrt3/2
300
You are riding a ferris wheel with a diameter of 50 feet. You do 2 full rotations plus another 45o before stopping in the air. About how many feet have you traveled? Round to the nearest tenth.
s=rtheta
333.8 feet
400
If
sin theta=3/19
, find
sec theta
sec theta=(19sqrt22)/88
400
Solve triangle ABC, where C is the right angle using the given measurements.
B=30^o, c=20
a=10sqrt3, b=10, A=60^o
400
Convert the degrees to radians or the radians to degrees.
310^o
(31pi)/18
400
Find the cotangent and the cosine of the angle.
cot theta=-1, cos theta=sqrt2/2
400
cot(1290^o)
sqrt3
400
The rear windshield wiper of a car rotates 135o. Find the area cleared by the wiper.
706.8 sq in
500
Evaluate the six trig functions of theta.
sin theta=-3/5,csc theta=-5/3
cos theta=-4/5, sec theta=-5/4
tan theta=3/4, cot theta=4/3
500
You are standing 40 feet from the base of a tree. You measure the angle of elevation from your eyes to the top of the tree to be 35o. How tall is the tree? Assume the distance from your eyes to the ground is 5.1 feet to the nearest tenth of a foot.
33.1 feet.
500
Convert the degrees to radians or the radians to degrees. Round to the nearest tenth.
-7.8
-446.9^o
500
Use the unit circle to evaluate the six trig functions of theta.
theta=-(7pi)/2
sin theta = 1, csc theta=1
cos theta=0, sec theta=und
tan theta=und, cot theta=0
500
Evaluate the function without using a calculator.
csc(-7pi)
Undefined
500
You kick a football with an angle of 53o with an initial speed of 35 feet per second. Estimate the horizontal distance traveled by the football.
36.8 feet