[PDF] 8 5 practice using the law of sines

What is the law of sines?

So the Law of Sines, the Law of Sines. Let's say that this is, the measure of this angle is a, the measure of this angle is lower case b, the measure of this angle is lower case c, length of this side is capital C, length of this side is capital A, length of this side is capital B.

How do you find an unknown angle using the law of sines?

Multiply both sides by sin (105°): c = ( 7 / sin (35°) ) × sin (105°) Calculate: c = ( 7 / 0.574... ) × 0.966... In the previous example we found an unknown side ... ... but we can also use the Law of Sines to find an unknown angle. In this case it is best to turn the fractions upside down ( sin A/a instead of a/sin A, etc):

How do you use only the law of cosines?

To use ONLY the law of cosines you needthree of the four parts. The four parts are three sides and one angle. So you either need 2 sides and an angle to solve for the remaining side or all three sides to solve for an angle.

How do you find the sine of a triangle?

Not really, look at this general triangle and imagine it is two right-angled triangles sharing the side h: The sine of an angle is the opposite divided by the hypotenuse, so: How Do We Use It? Multiply both sides by sin (105°): c = ( 7 / sin (35°) ) × sin (105°) Calculate: c = ( 7 / 0.574... ) × 0.966...

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8-1 Additional Practice. Right Triangles and the Pythagorean 5. 4. 10 x. 6. 8 ... For Exercises 1–9 use the Law of Sines to find the values of x and y.





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