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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:Double- and Half-Angle Formulas
 
Problem: 1

Reduce the given expression to a simpler form:

Problem: 3

Reduce the given expression to a simpler form:

sec x sin 2x

Problem: 5

Evaluate the exact values of sin 2x, cos 2x, and tan 2x.

Problem: 7

Evaluate the exact values of sin u/2, cos u/2, and tan u/2, using

Problem: 9

Simplify cos2 6x – sin2 6x

to a trigonometric function having a single angle.

Problem: 11

Express

as a trigonometric function of a single angle.

Problem: 13

Verify.

Problem: 15

Find the value of sin 112.50.

Problem: 17

Determine the correct value of

cos 67.5 .

Problem: 19

Determine the correct value of

Problem: 21

Determine the exact value of the expression.

Problem: 23

What is the exact value of ?

Problem: 25

If , what is the value of cos 82.5o?

Problem: 27

If and , what is the exact value of ?

Problem: 29

Show that

Problem: 31

Show that

Problem: 33

Prove that tan 3π /8 = 1 + √ (2), using the half–angle formula.

Problem: 35

Verify.

Problem: 37

Find all solutions if 0o θ 360o.

4cos θ= 2sin2θ

Problem: 39

Solve for x when .

Problem: 41

Solve for all values of y.

1 + 5cos y= 3cos 2y

Problem: 43

Solve for

1 + cos 2x = cos x

Problem: 1

Reduce the given expression to a simpler form:

Problem: 3

Reduce the given expression to a simpler form:

sec x sin 2x

Problem: 5

Evaluate the exact values of sin 2x, cos 2x, and tan 2x.

Problem: 7

Evaluate the exact values of sin u/2, cos u/2, and tan u/2, using

Problem: 9

Simplify cos2 6x – sin2 6x

to a trigonometric function having a single angle.

Problem: 11

Express

as a trigonometric function of a single angle.

Problem: 13

Verify.

Problem: 15

Find the value of sin 112.50.

Problem: 17

Determine the correct value of

cos 67.5.

Problem: 19

Determine the correct value of

Problem: 21

Determine the exact value of the expression.

Problem: 23

What is the exact value of ?

Problem: 25

If , what is the value of cos 82.5o?

Problem: 27

If and , what is the exact value of ?

Problem: 29

Show that

Problem: 31

Show that

Problem: 33

Prove that tan 3π /8 = 1 + √ (2), using the half–angle formula.

Problem: 35

Verify.

Problem: 37

Find all solutions if 0o θ 360o.

4cos θ = 2sin2θ

Problem: 39

Solve for x when .

Problem: 41

Solve for all values of y.

1 + 5cos y = 3cos 2y

Problem: 43

Solve for

1 + cos 2x = cos x