Trigonometry

Question 1

What is the Hypotenuse?

Answer 1

The side of a right angled triangle opposite to the right angle.

Question 2

What is the Opposite side?

Answer 2

The side opposite the angle 𝜃.

Question 3

What is the Adjacent side?

Answer 3

The side next to the angle 𝜃.

Question 4

What is tan(𝜃)?

Answer 4

O/A

Question 5

What is O with respect to the Adjacent side and tan(𝜃)?

Answer 5

Atan(𝜃)

Question 6

What is A with respect to the Opposite side and tan(𝜃)?

Answer 6

O/tan(𝜃)

Question 7

What is sin(𝜃)?

Answer 7

O/H

Question 8

What is O with respect to the Hypotenuse and sin(𝜃)?

Answer 8

Hsin(𝜃)

Question 9

What is H with respect to the Opposite side and sin(𝜃)?

Answer 9

O/sin(𝜃)

Question 10

What is cos(𝜃)?

Answer 10

A/H

Question 11

What is A with respect to the Hypotenuse and cos(𝜃)?

Answer 11

Hcos(𝜃)

Question 12

What is H with respect to the Adjacent side and cos(𝜃)?

Answer 12

A/cos(𝜃)

Question 13

What is 𝜃 with respect to the Opposite side and the Adjacent side?

Answer 13

tan^-1(O/A)

Question 14

What is 𝜃 with respect to the Opposite side and the Hypotenuse?

Answer 14

sin^-1(O/H)

Question 15

What is 𝜃 with respect to the Adjacent side and the Hypotenuse?

Answer 15

cos^-1(A/H)

Question 16

What is H with respect to the Adjacent side and Opposite side?

Answer 16

rt2((O^2) + (A^2))

Question 17

What is the sine rule?

Answer 17

a/sin(A) = b/sin(B) = c/sin(C) if a,b,c are the sides and A,B,C are the angles.

Question 18

What is the cosine rule?

Answer 18

a^2 = b^2 + c^2 - 2b(cos(A)) where a,b,c are the sides and A is an angle.

Question 19

What is the rule for the area of a triangle?

Answer 19

A = 1/2(ab(sin(C)) where a,b are the two sides and C is an angle.