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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Trigonometric Identities, Graphs and FormulasSection:Fundamental Trigonometric Identities.
 

Problem: 1

Assume 90 θ 180 .


Problem: 3

where 180 θ 270 .


Problem: 5

where 270 θ 360 .


Problem: 7

Given

find the values of the other five trigonometric functions of θ.


Problem: 9

Given

Find the values of the other five trigonometric functions of θ.


Problem: 11

Given

Find the values of the other five trigonometric functions of θ.


Problem: 13

Solve cos x / cot x.


Problem: 15

Solve cos t · csc t · tan t.


Problem: 17

Simplify:


Problem: 19

Simplify the given expression.


Problem: 21

Simplify the given expression.


Problem: 23

Express sec 2t in terms of sin 2t.


Problem: 25

Express cot α· csc α in terms of cos α.


Problem: 27

Simplify:


Problem: 29

Is the expression an identity?


Problem: 31

Is the expression an identity?


Problem: 33

Show that cos 2x/(1 – sin 2x) = 1/(sec 2x – tan 2x).


Problem: 35

Show that


Problem: 37

For what value of x is the following equation not an identity?


Problem: 39

Using the Pythagorean identity 1 + tan2 θ = sec2 θ derive

sin2 θ + cos2 θ = 1.


Problem: 1

Assume 90 θ 180.


Problem: 3

where 180 θ 270.


Problem: 5

where 270 θ 360.


Problem: 7

Given

find the values of the other five trigonometric functions of θ.


Problem: 9

Given

Find the values of the other five trigonometric functions of θ.


Problem: 11

Given

Find the values of the other five trigonometric functions of θ.


Problem: 13

Solve cos x / cot x.


Problem: 15

Solve cos t · csc t · tan t.


Problem: 17

Simplify:


Problem: 19

Simplify the given expression.


Problem: 21

Simplify the given expression.


Problem: 23

Express sec 2t in terms of sin 2t.


Problem: 25

Express cot α· csc α in terms of cos α.


Problem: 27

Simplify:


Problem: 29

Is the expression an identity?


Problem: 31

Is the expression an identity?


Problem: 33

Show that cos 2x/(1 – sin 2x) = 1/(sec 2x – tan 2x).


Problem: 35

Show that


Problem: 37

For what value of x is the following equation not an identity?


Problem: 39

Using the Pythagorean identity 1 + tan2 θ = sec2 θ derive

sin2 θ + cos2 θ = 1.