#2 Explain how to solve a nonright triangle with law of sines and law of cosines
law of sines (sinA)/a = (sinB)/b = (sinC)/c formula used to solve for the components of a triangle when there is a set or pair of information given meaning a length of a side on the opposite side of a given angle.
law of cosines (opposite leg)^2 = (adjacent leg)^2 + (other adjacent leg)^2 -2(adjacent leg)(adjacent leg)cos(angle between) formula used to solve for the components of a triangle when a set or pair of information is not given.
Law of sines is always used with a problem that gives an angle and the measure of the side across from it
Law of cosines is always used with a problem that gives you two side measures and the angle between them
there are other problems where you will have to decipher whether to use law of sines or law of cosines but the two tidbits of information i gave above are the most common types of problems
dont forget area of a non right triangle is 1/2(leg)(leg)sin(angle between)
#2 Explain how to solve a nonright triangle with law of sines and law of cosines
ReplyDeletelaw of sines
(sinA)/a = (sinB)/b = (sinC)/c
formula used to solve for the components of a triangle when there is a set or pair of information given meaning a length of a side on the opposite side of a given angle.
law of cosines
(opposite leg)^2 = (adjacent leg)^2 + (other adjacent leg)^2 -2(adjacent leg)(adjacent leg)cos(angle between)
formula used to solve for the components of a triangle when a set or pair of information is not given.
Another helpful tip:
ReplyDeleteLaw of sines is always used with a problem that gives an angle and the measure of the side across from it
Law of cosines is always used with a problem that gives you two side measures and the angle between them
there are other problems where you will have to decipher whether to use law of sines or law of cosines but the two tidbits of information i gave above are the most common types of problems
dont forget area of a non right triangle is
1/2(leg)(leg)sin(angle between)