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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:TrigonometrySection:Right Angle Trigonometry
 

Problem: 1

Fill in the blank with the correct ratio for the triangle shown in the figure.


Problem: 3

Observe ΔABC shown in the figure and fill in the blank with the appropriate trigonometric function.


Problem: 5

Using the given figure, find sin P to the nearest tenth.


Problem: 7

Using the given figure, find cos R to the nearest tenth.


Problem: 9

Determine the values of the six trigonometric functions of angle θ.


Problem: 11

Determine the values of the six trigonometric functions of angle θ.


Problem: 13

The sine of an acute angle of a right triangle is given by . Sketch the triangle and find the other two trigonometric ratios of θ


Problem: 15

The cosine of an acute angle of a right triangle is given by . Sketch the triangle and find the other two trigonometric ratios of θ


Problem: 17

Determine the value of other trigonometric functions using the value:

tan θ= 5/4


Problem: 19

Determine the values of the six trigonometric functions of an angle θ in standard position whose terminal side passes through point P(6, 8).


Problem: 21

Use the diagram and the given measurements to solve the ΔABC.

B = 55 , c = 12


Problem: 23

Using the diagram shown, find the length of the sides and the measure of the angle of the triangle. Write your answers in simplest radical form.

Given: b = 3 and A = 60


Problem: 25

Using the diagram shown, find the length of the sides and the measure of the angle of the triangle. Write your answers in simplest radical form.

Given: a = 5 and b = 5


Problem: 27

Determine the unknown side lengths x and y shown in the figure.


Problem: 1

Fill in the blank with the correct ratio for the triangle shown in the figure.


Problem: 3

Observe ΔABC shown in the figure and fill in the blank with the appropriate trigonometric function.


Problem: 5

Using the given figure, find sin P to the nearest tenth.


Problem: 7

Using the given figure, find cos R to the nearest tenth.


Problem: 9

Determine the values of the six trigonometric functions of angle θ.


Problem: 11

Determine the values of the six trigonometric functions of angle θ.


Problem: 13

The sine of an acute angle of a right triangle is given by . Sketch the triangle and find the other two trigonometric ratios of θ


Problem: 15

The cosine of an acute angle of a right triangle is given by . Sketch the triangle and find the other two trigonometric ratios of θ


Problem: 17

Determine the value of other trigonometric functions using the value:

tan θ = 5/4


Problem: 19

Determine the values of the six trigonometric functions of an angle θ in standard position whose terminal side passes through point P(6, 8).


Problem: 21

Use the diagram and the given measurements to solve the ΔABC.

B = 55, c = 12


Problem: 23

Using the diagram shown, find the length of the sides and the measure of the angle of the triangle. Write your answers in simplest radical form.

Given:b = 3 and A = 60


Problem: 25

Using the diagram shown, find the length of the sides and the measure of the angle of the triangle. Write your answers in simplest radical form.

Given:a = 5 and b = 5


Problem: 27

Determine the unknown side lengths x and y shown in the figure.