All High School Math Resources
Example Questions
Example Question #1 :Law Of Sines
In this figure, angleand side. If angle, what is the length of side?
For this problem, use the law of sines:
.
In this case, we have values that we can plug in:
Cross multiply:
Multiply both sides by:
Example Question #2 :Law Of Sines
In this figureand. If, what is?
For this problem, use the law of sines:
.
In this case, we have values that we can plug in:
Example Question #3 :Law Of Sines
In,,, and. To the nearest tenth, what is?
Since we are givenand want to find, we apply the Law of Sines, which states, in part,
and
苏bstitute in the above equation:
Cross-multiply and solve for:
Example Question #4 :Law Of Sines
In,,, and. To the nearest tenth, what is?
No triangle can exist with these characteristics.
Since we are given,, and, and want to find, we apply the Law of Sines, which states, in part,
.
苏bstitute and solve for:
Take the inverse sine of 0.6355:
There are two angles betweenandthat have any given positive sine other than 1 - we get the other by subtracting the previous result from:
This, however, is impossible, since this would result in the sum of the triangle measures being greater than. This leavesas the only possible answer.
Example Question #1 :Graphs And Inverses Of Trigonometric Functions
In this figure, angle. If sideand, what is the value of angle?
Undefined
For this problem, use the law of sines:
.
In this case, we have values that we can plug in:
Example Question #1 :Graphs And Inverses Of Trigonometric Functions
In this figure, if angle, side, and side, what is the value of angle?
(NOTE: Figure not necessarily drawn to scale.)
Undefined
First, observe that this figure is clearly not drawn to scale. Now, we can solve using the law of sines:
.
In this case, we have values that we can plug in: