Trigonometry Flashcards
What is the Hypotenuse?
The side of a right angled triangle opposite to the right angle.
What is the Opposite side?
The side opposite the angle 𝜃.
What is the Adjacent side?
The side next to the angle 𝜃.
What is tan(𝜃)?
O/A
What is O with respect to the Adjacent side and tan(𝜃)?
Atan(𝜃)
What is A with respect to the Opposite side and tan(𝜃)?
O/tan(𝜃)
What is sin(𝜃)?
O/H
What is O with respect to the Hypotenuse and sin(𝜃)?
Hsin(𝜃)
What is H with respect to the Opposite side and sin(𝜃)?
O/sin(𝜃)
What is cos(𝜃)?
A/H
What is A with respect to the Hypotenuse and cos(𝜃)?
Hcos(𝜃)
What is H with respect to the Adjacent side and cos(𝜃)?
A/cos(𝜃)
What is 𝜃 with respect to the Opposite side and the Adjacent side?
tan^-1(O/A)
What is 𝜃 with respect to the Opposite side and the Hypotenuse?
sin^-1(O/H)
What is 𝜃 with respect to the Adjacent side and the Hypotenuse?
cos^-1(A/H)
What is H with respect to the Adjacent side and Opposite side?
rt2((O^2) + (A^2))
What is the sine rule?
a/sin(A) = b/sin(B) = c/sin(C) if a,b,c are the sides and A,B,C are the angles.
What is the cosine rule?
a^2 = b^2 + c^2 - 2b(cos(A)) where a,b,c are the sides and A is an angle.
What is the rule for the area of a triangle?
A = 1/2(ab(sin(C)) where a,b are the two sides and C is an angle.
