Formula Flashcards
(36 cards)
What is trigonometry sin rule
Sin = opposite/hypotenuse
What is the trigonometry cos rule
Cos= adjacent/ hypotenuse
What is the trigonometry tan rule
Tan= opposite/ adjacent
What is the sine rule
a/sineA= b/sinB= c/sinC
What is the inverse sine rule
Sin^-1 (sinA/a= sinB/b= sinC/c)
What is the cosine rule
a^2= b^2+ c^2-2bc(cosA)
What is the inverse cosine rule
Cos^-1(cosA= b^2+c^2-a^2/2bc)
What is the quadratic formula
x=-b[plus or minus the square root of] b^2-4ac/2a
What are the 5 known answers to sin
0°=0, 30°=0.5, 45°=[root]2/2, 60°=[root]3/2, 90°=1
What are the 5 known answers to cos
0°=1, 30°=[root]3/2, 45°=[root]2/2, 60°=0.5, 90°=0
What are the 5 known answers to tan
0°=0, 30°=[root]1/[root]3, 45°=1, 60°=[root]3, 90°= undefined
What do the lower case letters stand for in trigonometry
The lengths of the side of the triangle
What do the capital letters in trigonometry stand for
The angles of the triangle
What is the inverse trigonometry sin rule if you have the hypotenuse value
Sin^-1(Hypotenuse/sinA)
What is the inverse trigonometry sin rule if you have the opposite value
Sin^-1(opposite/sinA)
What is the Pythagorean theorem
a^2+b^2=c^2
What is the inverse trigonometry cos rule if you have the hypotenuse value
Cos^-1(hypotenuse/cosA)
What is the inverse trigonometry cos rule if you have the adjacent value
Cos^-1(adjacent/cosA)
When are the sine and cosine rule used
When the triangle isn’t a right angle triangle
What is the inverse trigonometry tan. rule if you have the opposite value
Tan^-1(opposite/tanA)
What is the inverse trigonometry tan rule if you have the adjacent value
tan^-1(adjacent/tanA)
What is the trigonometry sin rule for 0°
0
What is the trigonometry sin rule for 30°
0.5
What is the trigonometry sin rule for 45°
[root]2/2