Pre Calc 6.1 day 1.notebook
Pre Calc 6.1 day 1.notebook
Pre Calc 6.1 day 1.notebook
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<strong>Pre</strong> <strong>Calc</strong> <strong>6.1</strong> <strong>day</strong> <strong>1.notebook</strong>March 19, 2013<strong>Pre</strong> <strong>Calc</strong> <strong>6.1</strong> LAW OF SINESsolving oblique triangles: triangles that have ________________________To solve an oblique triangle, you need to know:USES LAW OF SINES1. AAS or ASA (2 angles and any side)2. SSA (2 sides and an angle opposite one of them)USES LAW OF COSINES3. SSS ( 3 sides)4. SAS (2 sides and their included angle)LAW OF SINESIF Δ ABC HAS SIDES a,b,and c, then= = =b b c a csin A sin B or sin B sin C or sin A sin Cathis is also written ascan also do the reciprocals1
<strong>Pre</strong> <strong>Calc</strong> <strong>6.1</strong> <strong>day</strong> <strong>1.notebook</strong>March 19, 2013<strong>Pre</strong> <strong>Calc</strong> <strong>6.1</strong> LAW OF SINESsolving oblique triangles: triangles that have ________________________To solve an oblique triangle, you need to know:USES LAW OF SINES1. AAS or ASA (2 angles and any side)2. SSA (2 sides and an angle opposite one of them)USES LAW OF COSINES3. SSS ( 3 sides)4. SAS (2 sides and their included angle)LAW OF SINESIF Δ ABC HAS SIDES a,b,and c, then= = =b b c a csin A sin B or sin B sin C or sin A sin Cano right anglesthis is also written ascan also do the reciprocals2
<strong>Pre</strong> <strong>Calc</strong> <strong>6.1</strong> <strong>day</strong> <strong>1.notebook</strong>March 19, 20131. Solve Δ ABC given that a=8, A= 36 , B = 48Cb=c=C=BA3
<strong>Pre</strong> <strong>Calc</strong> <strong>6.1</strong> <strong>day</strong> <strong>1.notebook</strong>March 19, 20131. Solve Δ ABC given that a=8, A= 36 , B = 48Cb=c=C=BA4
<strong>Pre</strong> <strong>Calc</strong> <strong>6.1</strong> <strong>day</strong> <strong>1.notebook</strong>March 19, 20132. Solve Δ ABC given that a=7, b=6, A=26.3c=B=C=SSA or ASSThis is an example of anambiguous case because 2 Btriangles are existing simultaneously. CDepending on which piece you solve for first, second,and third, you would either get a triangle that is acuteor a triangle that is obtuse. You may not know when thisoccurring because you will only get one of the answers.A5
<strong>Pre</strong> <strong>Calc</strong> <strong>6.1</strong> <strong>day</strong> <strong>1.notebook</strong>March 19, 20132. Solve Δ ABC given that a=7, b=6, A=26.3c=AB=C=BC6
<strong>Pre</strong> <strong>Calc</strong> <strong>6.1</strong> <strong>day</strong> <strong>1.notebook</strong>March 19, 20133. Because of prevailing winds, a tree grew so that it was leaning 6 fromthe vertical. At a point 30 meters from the tree, the angle of elevationto the top of the tree is 22.5 . Find the height h of the tree.22.530 mh7
<strong>Pre</strong> <strong>Calc</strong> <strong>6.1</strong> <strong>day</strong> <strong>1.notebook</strong>March 19, 20133. Because of prevailing winds, a tree grew so that it was leaning 6 fromthe vertical. At a point 30 meters from the tree, the angle of elevationto the top of the tree is 22.5 . Find the height h of the tree.22.530 mh8
<strong>Pre</strong> <strong>Calc</strong> <strong>6.1</strong> <strong>day</strong> <strong>1.notebook</strong>March 19, 2013a=A=14C=88629
<strong>Pre</strong> <strong>Calc</strong> <strong>6.1</strong> <strong>day</strong> <strong>1.notebook</strong>March 19, 2013a=A=14C=886210
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