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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:Solving Trigonometric Equations
 

Problem: 1

Check whether x = π/3 is a solution of the equation.


Problem: 3

Determine whether is a solution of 8 – 3cot x – 4 = 1.


Problem: 5

Determine whether is a solution of 32sin6 x – 4sin4 x = 3.


Problem: 7

Find all solutions if 0o θ 360o.

4cos2θ= 3


Problem: 9

Find all solutions if 0o θ 360o.


Problem: 11

Solve for x in the interval 0 x 2π.

Check your solutions.


Problem: 13

Find the value of x if

(0 x 2π).


Problem: 15

Find the value of x in (0 x 2π).


Problem: 17

Solve for x in the interval 0 x 2π.

Check your solutions.


Problem: 19

What is the x–intercept of the graph, y = 2cos x – √ 3?


Problem: 21

Find the x–intercepts of y = csc2 x – 1, in the interval 0 x 2π.


Problem: 23

Where do the graphs and intersect in the interval ?


Problem: 25

Where do the graphs and intersect in the interval ?


Problem: 27

Solve for all values of y.

sin y = sin2 y


Problem: 29

Determine the general solution of the equation.


Problem: 31

Determine the general solution of the equation.


Problem: 1

Check whether x = π/3 is a solution of the equation.


Problem: 3

Determine whether is a solution of 8 – 3cot x – 4 = 1.


Problem: 5

Determine whether is a solution of 32sin6 x – 4sin4 x = 3.


Problem: 7

Find all solutions if 0o θ 360o.

4cos2θ = 3


Problem: 9

Find all solutions if 0o θ 360o.


Problem: 11

Solve for x in the interval 0 x 2π.

Check your solutions.


Problem: 13

Find the value of x if

(0 x 2π).


Problem: 15

Find the value of x in (0 x 2π).


Problem: 17

Solve for x in the interval 0 x 2π.

Check your solutions.


Problem: 19

What is the x–intercept of the graph, y = 2cos x – √ 3?


Problem: 21

Find the x–intercepts of y = csc2 x – 1, in the interval 0 x 2π.


Problem: 23

Where do the graphs and intersect in the interval ?


Problem: 25

Where do the graphs and intersect in the interval ?


Problem: 27

Solve for all values of y.

sin y = sin2 y


Problem: 29

Determine the general solution of the equation.


Problem: 31

Determine the general solution of the equation.