to do these problems you need the formulas for sin, tan, and cos
sin=o/h
cos=a/h
tan=a/o
then figure out what youre looking for
hypotenuse is the longest side that is not connected to the 90 degree angle
adjacent is the side next to the angle youre given that is not 90 degrees
opposite is the side opposite of the angle you are given.
1. you're looking for opposite and you are given hypotenuse so which formula has those two sides? sin. so plug it in.
sin 32= x/9
9sin32= 4.96
2.you are given opposite and are looking for hypotenuse
sin35=12/x
x=12/sin35
x=28.57
3.sin73=x/4 4. cos20=x/15 5. cos83=9/x
4sin73=x 15cos20=x x=9/cos83
2.7=x 6.12=x x=36.6
6. cos33=6/x 7. tan15=25/x 8. tan 79=4/x 9. tan55= x/9
x=6/cos33 x=25/tan15 x= 4/tan79 9tan55=x
x=451.9 x=29.2 x=8.6 406.64=x
