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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:TrigonometrySection:Trigonometric Functions of General Angles
 

Problem: 1

Fill in the blank with positive or negative.

If B is acute, then sin B is and cos B is .


Problem: 3

Find if the value of each function is positive, negative, 0 or undefined.

Sin(–95 )


Problem: 5

Find if the value of each function is positive, negative, 0 or undefined.

tan (305 )


Problem: 7

Find if the value of each function is positive, negative, 0 or undefined.


Problem: 9

Given the point (–4, 3), find sin θ, cos θ, and tan θ.


Problem: 11

Determine the values of the six trigonometric functions of an angle θ (in standard position) whose terminal side passes through point P(2, –3).


Problem: 13

Determine the quadrant angle θ and then determine five other trigonometric functions of θ. Produce your answers involving radicals in simplest radical form.

cos θ= –9/19, 0 θ 180


Problem: 15

Determine the six trigonometric functions of θ.

θ = 180


Problem: 17

The point shown in the figure is on the terminal side of an angle θ in standard position. Determine the six trigonometric functions of θ.


Problem: 19

Draw the angle 135 . Then find its reference angle.


Problem: 21

Draw the angle –110 . Then find its reference angle.


Problem: 23

Draw the angle Then find its reference angle.


Problem: 25

Determine the measure of the reference angle α if angle θ is 476 .


Problem: 27

Determine the measure of the reference angle α if angle θ is –200 .


Problem: 29

Determine the measure of the reference angle α if angle θ is –181.8 .


Problem: 31

Write cos 211 as a function of an acute angle.


Problem: 33

Write sin(–79 ) as a function of an acute angle.


Problem: 35

Find the value of

sin(600 )


Problem: 37

Find the value of


Problem: 39

What is the exact value of sin 330 ?


Problem: 41

Without using a calculator, evaluate csc (–225 ).


Problem: 43

Without using a calculator, evaluate


Problem: 45

Without using a calculator, evaluate.


Problem: 1

Fill in the blank with positive or negative.

If B is acute, then sin B is and cos B is .


Problem: 3

Find if the value of each function is positive, negative, 0 or undefined.

Sin(–95)


Problem: 5

Find if the value of each function is positive, negative, 0 or undefined.

tan (305)


Problem: 7

Find if the value of each function is positive, negative, 0 or undefined.


Problem: 9

Given the point (–4, 3), find sin θ, cos θ, and tan θ.


Problem: 11

Determine the values of the six trigonometric functions of an angle θ (in standard position) whose terminal side passes through point P(2, –3).


Problem: 13

Determine the quadrant angle θ and then determine five other trigonometric functions of θ. Produce your answers involving radicals in simplest radical form.

cos θ = –9/19, 0 θ 180


Problem: 15

Determine the six trigonometric functions of θ.

θ = 180


Problem: 17

The point shown in the figure is on the terminal side of an angle θ in standard position. Determine the six trigonometric functions of θ.


Problem: 19

Draw the angle 135. Then find its reference angle.


Problem: 21

Draw the angle –110. Then find its reference angle.


Problem: 23

Draw the angle Then find its reference angle.


Problem: 25

Determine the measure of the reference angle αif angle θ is 476.


Problem: 27

Determine the measure of the reference angle α if angle θ is –200.


Problem: 29

Determine the measure of the reference angle α if angle θ is –181.8.


Problem: 31

Write cos 211 as a function of an acute angle.


Problem: 33

Write sin(–79) as a function of an acute angle.


Problem: 35

Find the value of

sin(600)


Problem: 37

Find the value of


Problem: 39

What is the exact value of sin 330?


Problem: 41

Without using a calculator, evaluate csc (–225).


Problem: 43

Without using a calculator, evaluate


Problem: 45

Without using a calculator, evaluate.