Exact trig values Flashcards
sin30
1/2
sin60
√3/2
sin45
1/√2
sin0
0
sin90
1
cos30
√3/2
cos60
1/2
cos45
1/√2
cos0
1
cos90
0
tan30
1/√3
tan60
√3
tan45
1
tan0
0
what is the sin rule and what do you need to have to use it?
a/sinA = b/sinB = c/sinC
you can flip this over depending on whether you want to find an angle or a side
to use this you must have 2 angles and a side or 2 sides and an angle
what is the normal cosine rule and what do you need to have to use it?
a² = b² + c² - 2bc cosA
you need to sides and the third sides angle and it is used to find a side
what is the cosine rule for finding an angle ?
cosA = b² + c² -a² all over 2bc
you need all three sides to use this and it allows you to find an angle
what are the two ways to find an area of a triangle?
1/2 x base x height
1/2 x ab x sin C
what trig rule would you use when you have two angles given and any side?
sin rule:
a/sinA = b/sinB = c/sinC
what trig rule would you use when you have two sides given plus an angle not enclosed by them?
sin rule:
a/sinA = b/sinB = c/sinC
what trig rule would you use when you have two sides plus the angle enclosed by them?
cosine rule:
a² = b² + c² -2bc cosA
what trig rule would you use when you have all three sides given but no angle?
cosA = b² + c² - a² all over 2bc